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Sampling Distribution for a Mean Question

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Wize University Statistics Textbook > Sampling Distribution

Sampling Distribution for a Mean

4 Activities

Sony is interested in the number of songs on a person’s iPhone. The population 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?



(c) Explain why the probabilities differ so much.




(a) What’s the probability that a random iPhone will have more than 375 songs?
More Sampling Distribution for a Mean Questions:
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that the mean height of 5 year old females is 107.9 cm with a standard deviation of 11.1 cm. If height is normally distributed, and you consider a random sample of 10 girls, then the sampling distribution for the corresponding sample mean
Sampling Distribution for a Mean
Suppose that you have a population that's skewed to the left.
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Sampling Distribution for a Mean
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Sampling Distribution for a Mean
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Sampling distribution for a mean
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Sampling Distribution for a Mean
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Sampling Distribution for a Mean
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Sampling Distribution for a Mean
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Sampling Distribution for a Mean
Suppose that we look at the height of students at ABC University and know their average height is μ=160 cm\mu=160 \space\text{cm} and vary according to a standard deviation σ=10 cm\sigma=10 \space \text{cm}. What are the mean and standard deviation of the sampling distribution of the sample mean with n = 30 observations?
Sampling Distribution for a Mean Question
Sony is interested in the number of songs on a person’s iPhone. The population 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?
Sampling Distribution for a Mean
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True or false?
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