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Link Between Confidence Intervals and Hypothesis Testing
9. Hypothesis Testing for One Sample / Link Between Confidence Intervals and Hypothesis Testing / Problem 4
Problem 4

A fitness program is evaluated by measuring the number of push-ups completed by 1212 participants before and after a 66-week training. The results are:

Construct the 95%95\% confidence interval for the mean difference in push-up counts. What does the interval suggest about the program's effectiveness?