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Confidence intervals for matched pairs

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Wize University Statistics Textbook > Match Pairs (Dependent Means)

Confidence Intervals for Matched Pairs

2 Activities

The cabbage diet, invented by Dr.Dumb, aims at helping people lose weight. According to this diet, eating lots of cabbage soup can make you feel full thus reducing the need for unnecessary consumption of calories. Six people are asked to track the number of calories consumed during a regular week and a week when they were on the cabbage diet. The number of calories consumed is recorded below:


Calculate a 99% confidence interval.

More Confidence Intervals for Matched Pairs Questions:
Matched Pairs for Two Dependent Means
We wonder if judging differs when a judge give scores during the preliminary competition vs. the finale for talent shows. A random sample of 16 judges reveals the following data:
(a) At the 1% significance level, is there is a significant difference between the prices people are willing to pay based on the posters they are shown?
(b) Explain why we are not doing a two-sample test.
Confidence Intervals for Matched Pairs
Copeman is a private medical clinic. It has a total of 185 locations in B.C. and Ontario. In their efforts to rebrand the company to make it look more luxurious, all the locations were renovated last year. The executives randomly sampled 25 locations from each province and compared their respective sales revenues before and after renovations. Results:
Sample mean of the differences, $5,285
Sample standard deviation of the differences, $25,875
Confidence Interval for Matched Pairs
A 90% confidence interval for the difference in the mean IQ scores between males and females is (−4,7)(-4, 7). Interpret the result.
Confidence intervals for matched pairs
A matched pairs design hypothesis test is conducted to see if having access to a practice midterm helps improve your test score. The following data is recorded:
A total of 40 students participated in the study.
Calculate a 95% confidence interval.