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Statistical Properties: Practice

Related Topics

Wize University Statistics Textbook > Continuous Probability Distributions

Standardizing

5 Activities

Wize University Statistics Textbook > Continuous Probability Distributions

Exponential Distribution

3 Activities

Wize University Statistics Textbook > Continuous Probability Distributions

Continuous Probability Distribution

1 Activity

Wize University Statistics Textbook > Discrete Probability Distributions

Hypergeometric Probability

5 Activities

Wize University Statistics Textbook > Discrete Probability Distributions

Poisson Distribution

5 Activities

Wize University Statistics Textbook > Discrete Probability Distributions

Binomial Distribution

8 Activities

Wize University Statistics Textbook > Exploratory Data Analysis

Percentiles

3 Activities

Wize University Statistics Textbook > Displaying & Summarizing Quantitative Data

Boxplots and Five-Number Summary

3 Activities

Wize University Statistics Textbook > Collecting Data & Sampling

Statistical Sampling

9 Activities

True or false? Enter "T" for true; "F" for false (without quotations).


More Standardizing Questions:
Standardizing
When calculating students' marks out of 25 their z-scores are also calculated. The average score was 17 and the standard deviation was 1.4. Test scores are normally distributed. Eric tells John "my teacher said I scored higher than 60% of the class". What's the lowest mark Eric could have had?
Standardizing
IQ scores for 15 year olds are approximately normally distributed with mean 120 and standard deviation 16. Mandy's IQ score is 115.
Standardizing
George is a Shiba Inu breeder. The average weight of an adult is 20 lbs with a standard deviation of 5.5lbs. A Shiba Inu is considered overweight if it weighs more than 28 lbs, and underweight if it weighs less than 16 lbs. What proportion of Shiba Inus are normal weight?
Standardizing
The waiting time for customer at the Beg Steakhouse and Bar is approximately normal with mean 19 minutes. 3% of customers have to wait longer than 22 minutes. Find the standard deviation.
Standardizing
Find the third quartile of a normal distribution with mean 54 and standard deviation 12.
Standardizing
When calculating students' marks out of 25 their z-scores are also calculated. The average score was 17 and the standard deviation was 1.4. Test scores are normally distributed. Eric tells John "my teacher said I scored higher than 60% of the class". What's the lowest mark Eric could have had?
Standardizing
The average time for Papa Dough to deliver a pizza in downtown is 45 minutes with a standard deviation of 8 minutes. The restaurant policy states that the pizza is free if it is not delivered within one hour.
Assuming the delivery time is normally distributed, what percentage of pizza are free?
Standardizing
IQ scores for 15 year olds are approximately normally distributed with mean 120 and standard deviation 16. Mandy's IQ score is 115.
What proportion of 15 year olds have an IQ score below Mandy's IQ?
Standardizing
In Japan, your entrance exam score determines what university you get into; the higher the entrance exam score, the more prestigious the school you get to go to. Suppose each year, the top 5% goes to BYC University, the best school in Japan. The bottom 30% does not enter university. This year, the mean entrance exam score is 450 with a standard deviation of 65. What is the minimum entrance grade to enter BYC University?
Standardizing
Max and his friend, Caroline, play 10-pin bowling every Friday. Max's average score is 260 with a standard deviation of 8. Caroline's average score is 241 with a standard deviation of 14. Assume that the scores for both players are normally distributed. What proportion of the times will Max score above Caroline's mean this Friday?
Standardizing
The number of births at a hospital varies from month to month with average of 60 and variance 25. Assuming this distribution is approximately normal, what proportion of the days do we expect more than 69 births?
Standardizing
The number of calories in a muffin at a fast food restaurant is approximately normal with a mean of 800 and standard deviation 15. What percent of muffins between 800 and 834 calories?
Standardizing
The average time for Papa Dough to deliver a pizza in downtown is 45 minutes with a standard deviation of 8 minutes. The restaurant policy states that the pizza is free if it is not delivered within one hour.
Standardized Score
Suppose that the measure of an "awesomeness score" for kids at a daycare follow a normal distribution model. If 5-year-old Andrew has a standardized score (z-score) of +1.2, which of the following statements is TRUE?
Standardizing
The waiting time for customer at the Beg Steakhouse and Bar is approximately normal with mean 19 minutes. 3% of customers have to wait longer than 22 minutes. Find the standard deviation.
Standardizing
The average time for Papa Dough to deliver a pizza in downtown is 45 minutes with a standard deviation of 8 minutes. The restaurant policy states that the pizza is free if it is not delivered within one hour.
Standardizing
IQ scores for 15 year olds are approximately normally distributed with mean 120 and standard deviation 16. Mandy's IQ score is 115.
Standardizing
In Japan, your entrance exam score determines what university you get into; the higher the entrance exam score, the more prestigious the school you get to go to. Suppose each year, the top 5% goes to BYC University, the best school in Japan. The bottom 30% does not enter university. This year, the mean entrance exam score is 450 with a standard deviation of 65. What is the minimum entrance grade to enter BYC University?
Proportions: Standardizing
Max and his friend, Caroline, play 10-pin bowling every Friday. Max's average score is 260 with a standard deviation of 8. Caroline's average score is 241 with a standard deviation of 14. Assume that the scores for both players are normally distributed. What proportion of the times will Max score above Caroline's mean this Friday?
Proportions: Standardizing
The number of births at a hospital varies from month to month with average of 60 and variance 25. Assuming this distribution is approximately normal, what proportion of the days do we expect more than 69 births?
Standardizing
Suppose that the measure of an "awesomeness score" for kids at a daycare follow a normal distribution model. If 5-year-old Andrew has a standardized score (z-score) of +1.2, which of the following statements is TRUE?
Working Backwards to Find Z-Score
ZZ is a standard normal random variable.
Standardizing
Darlene is in Professor Kitt’s class. She got 70 on her midterm, which had a mean score of 60 and a standard deviation of 20. Her boyfriend, Jacob – a history major – got 78 on his HIST 255 midterm and brags that he is smarter. The HIST 255 midterm has a mean of 65 with a standard deviation of 26. Who is in fact smarter relative to their classes?
Standardizing
Professor Kitts gave his MATH 184 class a hard midterm. If 30.85% of the class got less than 50 and 11.51% of the class got higher than 84, find the mean and standard deviation.
Standardizing
George is a Shiba Inu breeder. The average weight of an adult is 20 lbs with a standard deviation of 5.5lbs. A Shiba Inu is considered overweight if it weighs more than 28 lbs, and underweight if it weighs less than 16 lbs. What proportion of Shiba Inus are normal weight?
Standardizing
Find the third quartile of a normal distribution with mean 54 and standard deviation 12.
Standardizing
The number of calories in a muffin at a fast food restaurant is approximately normal with a mean of 800 and standard deviation 15. What percent of muffins have between 800 and 834 calories?
Standardizing
The average time for Papa Dough to deliver a pizza in downtown is 45 minutes with a standard deviation of 8 minutes. The restaurant policy states that the pizza is free if it is not delivered within one hour.
If Papa Dough wants to only make 1% of pizzas free, then what should be the approximate cutoff delivery time now?
Properties
IQ scores for 15 year olds are approximately normally distributed with mean 120 and standard deviation 16. Mandy's IQ score is 115.
According to the empirical rule, what proportion of 15 year olds have an IQ score between 88 and 152?
Quartiles Normal Distributions
Answer the following 2 questions about normal distributions.
Standardizing
Sony is interested in the number of songs on a person’s iPhone. The distribution of songs is normal with a mean of 300 and a standard deviation of 60.
(a) What’s the probability that a random iPhone will have more than 375 songs?
(b) If Sony randomly samples 12 iPhones, what’s the probability that the sample mean will be more than 375 songs?
Standardizing
The Pogs Fan Club only has 150 members. The number of pogs a member owns is normally distributed with a mean of 265 and standard deviation of 35. What is the probability of selecting a random sample of 10 members with a sample mean of 280 or more?
Standardizing
Kick the Butt is interested in the number of cigarettes a smoker smokes a day. The distribution of daily number of cigarettes is normal with a mean of 15 and a standard deviation of 8.
1. What’s the probability that a random smoker smokes more than 20 cigarettes a day?
2. If they randomly sample 10 smokers, what’s the probability that the sample mean will be more than 13 cigarettes a day?
Standardizing
Refer to Question 15.
What is the standard deviation?
Standardizing
The waiting time for customer at the Beg Steakhouse and Bar is approximately normal with mean 19 minutes. 3% of customers have to wait longer than 22 minutes. Find the standard deviation.
Standardizing
Find the third quartile of a normal distribution with mean 54 and standard deviation 12.
Standardizing
George is a Shiba Inu breeder. The average weight of an adult is 20 lbs with a standard deviation of 5.5lbs. A Shiba Inu is considered overweight if it weighs more than 28 lbs, and underweight if it weighs less than 16 lbs. What proportion of Shiba Inus are normal weight?
Standardizing
The exam grades in Hugh’s statistics class are normally distributed. If his z-score is 0.00, which of the following must be true?
Standardizing
Bayleaf Airport Lounge has an average of 85 patrons a day with a standard deviation of 15 patrons.
(a) On Saturdays, the number of patrons always exceeds 100 patrons. Given that, what is the probability that there will be at least 118 patrons this upcoming Saturday?
(b) The lounge can only accommodate 130 guests on any given day, from which 10 lounge passes are put aside for VIP guests like celebrities and politicians. What is the probability that there will not be enough lounge passes?
Standardizing
The class grade on the statistics final exam is normally distributed with a mean of 65 percent and a standard deviation of 8 percent.
Standardizing: Sample Distribution for a Mean
We do not know if population distribution is skewed or not but we know that the population mean is 50 and the population standard deviation is 16. What is the probability that the sample mean will be larger than 54 for a sample size of 36?
Standardizing
Ash and Jin both took STAT 100 in different sections. Grades in both sections are normally distributed. The class average in Ash's section is 68% with a standard deviation of 10%. Ash got 76% in the course. Jin's grade is one standard deviation above his section's average grade. The person with who is ranked lower in their respective sections buys dinner. Which of the following is true?
Inference Statistics
The random variable XXhas a normal distribution. If μ=100\mu=100and σ=17\sigma=17, then P(X>100+d)=0.1230P\left(X>100+d\right)=0.1230. Find the value of dd, rounding to the nearest integer.
Empirical Rule
Contestants at a talent show were given scores between 0 and 100. The mean score is 65 with a standard deviation of 8. Assume the scores are normally distributed.
For parts (b) and (c) provide all your answer in decimal format with at least 2 decimal places. (For example, 32.56% should be entered as 0.33, 0.326, or 0.3256.)
Standardizing
Skee Ball: In order to win a $1000 prize, Billy has to roll five balls and either score below 150 or over 250. Suppose the average player scores 210 with a standard deviation of 20. Assume Bill is an average player. What is the probability that he will not win a prize?
Enter answer with at least 2 decimal places (e.g. 0.88)
Standardizing
Max and her frenemy, Caroline, play 10-pin bowling every Friday. Max’s average score is 260 with a standard deviation of 8. Caroline’s average score is 235 with a standard deviation of 14.
Enter your answers with at least 2 decimal places (e.g. 0.89)
Standardizing
Ben is hosting a house party at his new loft. The number of beers a guest consumes is normally distributed with a mean of 3.3 and a standard deviation of 1.6.
What’s the probability that a random party guest consumes more than 4 beers?
Standardizing: Normal Distribution
The wine ratings on a website is normally distributed with a mean of 3.70 and a standard deviation of 0.65. Seventy-five percent of the wine ratings are greater than:
Statistical sampling
Entering Crowne Academy is highly competitive, and those who wish to enroll must take a standard test called CUEE (Crowe University Entrance Exam). Last year, the average grade of students who took the CUEE was 75% with a standard deviation of 12%.
If we take a sample of 10 students who took the CUEE, what is the probability that their mean grade is above 80%?
Standardizing
Suppose the time spent at the gym is normally distributed with a mean of 50 minutes and a standard deviation of 15 minutes.
What percent of gym members spends more than an hour at the gym?
Standardizing: Sampling Distribution
Half of the population can swim. There is a 19.77% probability that that more than p^\hat{p}% of my sample of 50 can swim. Find xx.
Normal distribution and standardizing
The random variable X has a normal distribution. If μ=20μ=20 and σ=4σ=4 find the value of aa such that P(16<X<a)=0.7357P(16<X<a)=0.7357. [Round aa to the nearest whole number.]
Normal Distribution and Standardizing
If X = 200, we get z = 2.00; and
if X = 115, we get z = –1.40
Solve for μ\mu and σ\sigma.
Standardizing: Normal Distribution
The exam grades in Hugh’s statistics class are normally distributed. If his z-score is 0.00, which of the following must be true?
Normal distribution: Standardizing
The average tips servers receive is normally distributed with a mean of 13.5% and a standard deviation of 4.5%. What is the probability of Trevor receiving more than 15% on a given bill?
Normal distribution
A random skills test was administered to a large group of students at a university. Suppose that the time the students took to complete the test is approximately normal with a mean of 40 minutes and a standard deviation of 10 minutes. If the top 20% of the students who completed the skills test the fastest get a prize, how fast must a candidate complete the test to get a prize?
Finding Probability From Z-Score
ZZ is a standard normal random variable.
Normal Distribution: Standardizing
When calculating students' marks out of 25, their z-scores are also calculated. The average score was 17 and the standard deviation was 1.4. Test scores are normally distributed. Eric tells John "my teacher said I scored higher than 60% of the class". What's the lowest mark Eric could have had?
More Exponential Distribution Questions:
Exponential Distribution
The number of days that Bender the Robot can last with a fully charged battery can be modelled by an exponential distribution. He is expected to last β=100\beta=100 days before needing to recharge.
a) What is the probability that he will last longer than 120 days?
b) What is the probability that he will last fewer than 150 days?
Exponential Distribution
The number of days that Bender the Robot can last with a fully charged battery can be modelled by an exponential distribution. He is expected to last β=100\beta=100 days before needing to recharge.
a) What is the probability that he will last longer than 120 days?
b) What is the probability that he will last fewer than 150 days?
Exponential Distribution
On average, 2 apples fall from a tree every 45 seconds. Assuming it follows an exponential distribution, what is the probability that it will take between 30 seconds to a minute for 1 apple to drop?
Exponential Distribution
Pho Mo is a comedian who can make the audience laugh 4 times a minute. Suppose the time it takes him to make people laugh follows an exponential distribution. What is the probably that he gets no laughter in the first 30 seconds?
Exponential Distribution
The time (in hours) for Ming to repair a watch follows an exponential distribution with an average of 2 hours. A customer drops off a broken watch and tells Ming that he needs it in 2 hours. What is the probability that Ming will take longer than 2 hours to repair it?
Exponential Distribution
Farid owns a jewelry shop in a bad side of town where he gets robbed an average of 2 times a week. A week has gone by but there has been no robbery. Which of the following is true?
More Continuous Probability Distribution Questions:
Continuous Probability Distribution
Which of the following is true about a constant cc in a continuous distribution?
Discrete vs. Continuous
Which of the following is true?
More Hypergeometric Probability Questions:
Hypergeometric probability
In a box there are 5 gold, 3 silver, and 2 bronze balls. Three balls are drawn without replacement.
Determine the probability that at least one ball selected is silver.
Hypergeometric Distribution
There are seven people in Molly’s family -- 4 women and 3 men. If I select three of them at random, what is the probability that I will get exactly two men and one woman?
Hypergeometric Probability
The farm has 15 chickens, 7 cows, and 3 pigs. Which of the following is based on a hypergeometric distribution?
Binomial Distribution vs. Poisson Distribution vs. Hypergeometric Probability
Binomial [B], Poisson [P], or Hypergeometric [H]? Enter B, P, or H in the boxes below.
Hypergeometric Probability
Twin Pines is a small neighborhood with 157 houses. A “success” is when a home has the OWN channel, and the probability of success is known. A sample is drawn without replacement. Which model is most the appropriate?
Hypergeometric probability
There are 10 keys in front of you. One of the keys will open the prize car. If you get to pick three keys, what is the probability that one of them is the correct key?
Hypergeometric Probability
Ivan supervises night sift employees at Walmart. The Swine Flu is back and 15 of his night shift employees called in sick today. Ivan finds it odd that they all have Swine Flu and believes that some of them may be lying about their sickness to go to the Taylor Swift concert tonight.
An employee knows that of these 15 employees that called in sick, 6 have Taylor Swift concert tickets – but Ivan doesn’t know this! Ivan hires a private detective to randomly spy on 5 of his employees that called in sick. What is the probability that exactly 2 of the 5 selected employees will be caught with Taylor Swift tickets?
Hypergeometric Probability
There are 8 buttons in front of you. Three of the buttons will set off the alarm. What is the probability that you will not set off the alarm after pressing 3 buttons?
Hypergeometric Probability Question
There are seven postdoctoral research fellows in Dr. Lemon’s lab – 4 women and 3 men. To be fair, she will select four of them at random to accompany her at a convention. What is the probability that she will get exactly two of each gender?
Hypergeometric Probability
There are 10 balls in a bag; 3 of them are gold balls. To win a prize, you must draw all three gold balls. You get to draw five balls. What is the probability you will win a prize?
Hypergeometric Probability
There are 6 pairs of socks in the dryer. Each pair has a different pattern. In other words, only one sock matches with another sock. You are in a hurry to class and randomly grabbed 4 individual socks from the dryer. What is the probability that all four socks have different patterns? (Relatable, right?)
More Poisson Distribution Questions:
Poisson Distribution
The average number of homes sold by Jon Jennings, a top realtor, is 14 homes per week. Assume he works all 7 days and all days are the same.
a) What is the probability that exactly 3 homes will be sold tomorrow?
b) What is the probability that at least 3 homes will be sold tomorrow?
Poisson Model
Andy is a rude bank teller. He gets an average of 3 complaints per 8-hour shift.
a) Determine the mean and standard deviation for the number of complaints in one hour.
b) What is the probability that he will get one complaint in the first hour?
Poisson Distribution
An injury is reported in Company A once a week. In Company B, an injury is reported only once a month. All injuries are reported and the occurrences of injuries in those companies are independent. In the next three weeks, what is the probability that Company A reports fewer than 2 injuries and Company B reports no injuries?
Let 1 month = 4 weeks
Binomial Distribution vs. Poisson Distribution vs. Hypergeometric Probability
Binomial [B], Poisson [P], or Hypergeometric [H]? Enter B, P, or H in the boxes below.
Binomial and Poisson Distributions
At a dangerous intersection, 2.5% of cars drive through a red light. Suppose 100 cars drove by.
Poisson Distribution
Which of the following can be modelled with a Poisson distribution?
Poisson Distribution
A random variable X has a poisson distribution X ∼Poisson(2)X\ \sim Poisson\left(2\right). Find the probability that XX is at least 1.
Poisson distribution
An old apartment building experiences an average of 2 electrical failure a week. Determine the probability that there will be no electrical failure on a given day.
Poisson Distribution
The number of customers coming to Suzanne’s coffee shop has a mean of 6 customers per hour. What is the probability that at least one customer will come to her coffee shop in an interval of 30 minutes?
Poisson Distribution
Which of the following cannot be modelled with a Poisson distribution?
Poisson Distribution
Five paper cuts are reported to the HR manager each 7-day week, on average. What is the probability that at least one paper cut will be reported today?
Poisson distribution
The Moody Volcano in Hawaii erupts four times a year. What is the probability that it will not erupt in the next month?
Poisson Distribution
Five injuries are reported at the gym each day. What is the probability that fewer than 3 injuries occur today?
More Binomial Distribution Questions:
Binomial RV
A student randomly guesses on 25  MC25\ \ MC questions, each with 44 options one of which is correct. Let XX represent the number of correctly guessed answers. Determine the value of E(X)E\left(X\right) and σ(𝑋)\sigma(𝑋).
Binomial Distribution
A survey showed the following:
20% of students sleep under 4 hours a night
15% of students sleep between 4 and 5 hours a night
Binomial Distribution
According to a self-conducted study, 60% of the socks in your friend Nitsy’s top drawer have a hole in them. Given a random sample of 20 socks from Nitsy’s top drawer, what is the expected number of them which have holes?
Binomial Distribution
According to studies, 75% of rabbits like carrots. If 14 rabbits are selected at random, what is the probability that more than 8 but fewer than 11 of them like carrots?
Binomial RV
13 cards are drawn from a standard deck with replacement. Let X represent the number of aces drawn. Find the variance of X, that isV(X).V(X).
Practice: Bernoulli Trials
When Ben asks a girl for her number, he gets it 20% of the time.
Binomial Distribution vs. Poisson Distribution vs. Hypergeometric Probability
Binomial [B], Poisson [P], or Hypergeometric [H]? Enter B, P, or H in the boxes below.
Binomial and Poisson Distributions
At a dangerous intersection, 2.5% of cars drive through a red light. Suppose 100 cars drove by.
Binomial Probability
Leo can shoot a bull’s eye 60% of the time. He has 10 bullets.
a) What’s the probability that he will shoot a bull’s eye exactly 8 of the 10 times?
b) What’s the probability that he will shoot a bull’s eye at most 8 times?
Binomial Distribution
The probability that Todd makes a sale is 40%. He engaged with 50 customers today.
What is the probability that exactly half of the customers will buy something from him today?
Binomial distribution
Samuel plays a game in which he wins a prize 20% of the time.
Discrete Random Variable
An ordinary die is rolled 164 times. Determine the expected number of times the die shows a number greater than four.
Binomial Distribution
The binomial mean is 90 and the binomial standard deviation is 6. Find nn.
More Percentiles Questions:
Percentiles
Given the following order data set, find the first and third quartile.
120130130150170170180200210240240240250260270270290300310330330\begin{array}{ccccccc} 120&130&130&150&170&170&180\\ 200&210&240&240&240&250&260\\ 270&270&290&300&310&330&330 \end{array}
Percentiles
This data shows the actual weight of a sample of 18 bags of rice, in pounds, rounded to the nearest 10th of a LB. (For instance 9.1, 10.4, etc.)
7.0, 7.1, 8.1, 9.1, 10.4, 10.5, 10.6, 10.6, 10.7, 10.7, 10.8, 10.9, 11.0, 11.0, 11.2, 11.3, 11.4, 11.5
Calculate the Interquartile Range: ___ pounds
More Boxplots and Five-Number Summary Questions:
Boxplots: Five-Number Summary
The amount of water drank by 24 people, in millilitres, is recorded below:
500 502 503 504 505 512 700 702 703 800 840 854
860 872 883 900 910 903 905 907 933 940 1702 1823
Making Decisions Based on Center & Spread
A high school teacher is choosing her best student to participate in a math-olympics competition. She gathers the practice test scores from 10 of her students over the past 6 months. If this teacher wants to pick the best student in terms of scores and consistency to participate in this compeition, what data attributes is she looking for? (Select all that apply)
Boxplots: Five-number summary
We surveyed 39 students and asked them how much their one-way commute to school costs them. Here are the summarized data.
Which of the following is the boxplot that can be used to represent this data?
Boxplots: Five-number Summary
The following boxplots show the final exam grades from two classes -- class A and B
Which of the following statement(s) is/are true? (Select all that apply)
Boxplots: Five-Number Summary
Given the ordered data set 8, 20, 22, 26, 30, 36, 40, 50, x, which of the following value(s) of x will make it an outlier? (select all that apply)
Boxplots: Five-number summary
The 5 number summary statistics for the number of years a typical family owns their first home before selling it is given by:
0.5      1      3.5      10      300.5\ \ \ \ \ \ 1\ \ \ \ \ \ 3.5\ \ \ \ \ \ 10\ \ \ \ \ \ 30
A total of 120 families participated in this study.
Making Decisions Based on Center & Spread
A high school teacher is choosing her best student to participate in a math-olympics competition. She gathers the practice test scores from 10 of her students over the past 6 months. If this teacher wants to pick the best student in terms of scores and consistency to participate in this compeition, what data attributes is she looking for? (Select all that apply)
Boxplots: Five-number summary
We surveyed 39 students and asked them how much their one-way commute to school costs them. Here are the summarized data.
Which of the following is the boxplot that can be used to represent this data?
Boxplots: 5-number summary comparison
The number of complaints received daily over the last 20 days by two Telecommunications companies are summarized by the following boxplots.
Which of the following statements is TRUE?
Boxplots: Five-number summary
(iv) Which of the following is/are true? (Check all that applies.)
Boxplots: Interpretation
The 5-number summary statistics for the number of years a typical family owns their first home before selling it is given by:
0.5  1  3.5  6  300.5\ \ 1\ \ 3.5\ \ 6\ \ 30
A total of 120 families participated in this study.
Boxplots: Skewness and Symmetry
The 5 number summary statistics for the number of years a typical family owns their first home before selling it is given by:
0.5  1  3.5  6  300.5\ \ 1\ \ 3.5\ \ 6\ \ 30
A total of 120 families participated in this study.
Boxplots: Interpretation
The 5-Number summary statistics for the number of years a typical family owns their first home before selling it is given by:
0.5  1  3.5  6  300.5\ \ 1\ \ 3.5\ \ 6\ \ 30
A total of 120 families participated in this study.
Boxplots: Five-number Summary
The amount of water drank by 24 people, in millilitres, is recorded below:
500 502 503 504 505 512 700 702 703 800 840 854
860 872 883 900 910 903 905 907 933 940 1702 1823
Boxplots: Five-number summary
Draw a boxplot and create a range that helps identify outliers for the following data set 8, 20, 22, 26, 30, 36, 40, 50, x.
After drawing the boxplot, decide which of the following values of x are outliers (select all that apply)
Boxplots: Five-number Summary
The number of homicides is recorded for Toronto, London, Ottawa, and Winnipeg for each year over a 25 year period. The distributions are showed by the boxplots:
Which of the following is true?
Boxplots: 5-number Summary
Suppose there was an error and the lowest (minimum) house price in Sadlands is actually $285,000. When the correction is made, what will happen? (Check all that applies.)
Boxplots: Five-number summary
I randomly sample 8 wallets see how much cash is inside each of them. Results:
5 15 25 25 40 65 85 200
Population sampling
There are 600 Sephora locations in the United States. Christine randomly selected 40 stores, and then she randomly selected 100 customers from each of those stores. Less than 1% of her sample identified as heterosexual males. Based on her sample, the average spending at Sephora is $45. In addition, 340 customers in her sample revealed that they have VIB Rouge status, which the highest tier status that is reached when a customer spends $1,000 in a calendar year.
Which of the following is/are true? (Check all that applies.)
More Statistical Sampling Questions:
Statistical Sampling
Which of the following is a disadvantage of stratified sampling over cluster sampling?
Statistical sampling
A principal wants to test the blood type of her students in grade 9 to 12. What kind of sample is described by the following?
Statistical sampling
A principal wants to test the blood type of her students in grade 9 to 12. What kind of sample is described by the following?
Statistical Sampling
Answer the following questions about sampling and bias
Statistical Sampling
Which of the following is true about cluster and stratified random sampling techniques?
Statistical sampling
A principal wants to test the blood type of her students in grade 9 to 12. What kind of sample is described by the following?
Statistical sampling
A teacher takes a random sample of 15 students in his class and asks the question “How many text messages do you receive a day?”. The sample average is 45.6 text messages. He then concludes “students at this University on average receive 45.6 text messages a day”. This is an example of
Statistical Sampling
Which of the following is a disadvantage of stratified sampling over cluster sampling?
Statistical Sampling
There are 600 Sephora locations in the United States. Christine randomly selected 40 stores, and then she randomly selected 100 customers from each of those stores. Less than 1% of her sample identified as heterosexual males. Based on her sample, the average spending at Sephora is $45. In addition, 340 customers in her sample revealed that they have VIB Rouge status, which the highest tier status that is reached when a customer spends $1,000 in a calendar year.
What was Christine’s sampling method?
Statistical sampling
(ii) What sampling method was used by the urban planner?
Statistical Sampling
For a telephone survey, we decide to randomly sample the list of all area codes in the US, and select 12 of them. Next, we randomly sample 100 phone numbers from each of the 12 area codes we selected. What is this an example of, and which bias problem might we run into?
Statistical Sampling: Sampling and Issues
Answer the following questions:
Statistical Sampling
I had an entrepreneurship class in college where I had to go interview local businesses to learn about the issues they faced on a day-to-day basis. I decided to make a list of all businesses by searching on Google Maps, and randomly selecting 10 businesses from that list using excel's random number generator. This is an example of:
Statistical Sampling
I had an entrepreneurship class in college where I had to go interview local businesses to learn about the issues they faced on a day-to-day basis. I decided to go downtown and ask all the businesses located on the main street. This is an example of:
Statistical sampling
Which of the following methods will not result in any selection bias:
Statistical Sampling
Which of the following is a disadvantage of stratified sampling over cluster sampling?
Statistical Sampling
Parts (a) to (d) are based on the following information:
A study on wellbeing and stress of university students is conducted. The researcher drew a random sample of 5 departments on campus. Then he randomly sampled 100 students within each department that was selected and handed them the link to his online survey. Ultimately, only 30% of the sample responded. Amongst those who responded, 120 of them say they feel stressed.
(a) What sampling method was used?
Statistical Sampling
Michelle randomly selected a sample of 300 undergraduate students at UBC from 1st year, 2nd year, 3rd year, and 4th year of study. It is revealed that 58% of them watched Black Panther.
True or false? Enter T for True; F for False. (Use capital letters: T, F)
1. 58% of all UBC students watched Black Panther.
F
Statistical Sampling: Sample VS Population
We want to determine the average salary of assistant professors at AU. Based on a random sample of 100 from the HRMS database of all assistant professors, the mean salary is $100,000.
Answer choices:
(a) All professors at AU
Statistical Sampling
(iii) What was Christine’s sampling method?
Statistical sampling
(ii) What sampling method was used by the urban planner?
Statistical Sampling
Twin Pines is a town with a population of 200,000 residents, divided in 35 neighbourhoods. You randomly draw 8 neighbourhoods and then perform SRS from each of those selected neighbourhoods in order to compile your sample. Which sampling method was performed?
Statistical Sampling
Based on an online poll, CTV predicted that Blake Drew will win the election by a landslide. However, he lost to Drake Blew, who was leading in the landline telephone polls. Why were the polls showing different results? Select all that apply.
Statistical sampling
Which of the following statements about simple random sampling (SRS) is true?
Statistical Sampling
Which of the following types of sampling method is most likely to have biased results?
Statistical Sampling
Suppose that the mean height of 10 year old males is 138.4 cm with a standard deviation of 9.6 cm. From 30 randomly selected 10 year old males, what is the probability the sample mean is greater than 140 cm?