Name: ______ Matched Pairs Activity

Name: ______Matched Pairs Activity AP Statistics

1) Elite Foods, a supermarket, is losing customers and suspects it’s because another neighborhood market has lower prices. To determine whether this is the case, researchers from Elite Foods take a random sample of ten items from their store and compare their prices to prices for the same items at the other store. Compute a 95% confidence interval for the true mean difference in prices between the two stores. (Do full write-up!)

Item 1 2 3 4 5 6 7 8 9 10 Elite Foods 1.65 2.19 1.99 3.49 .99 1.59 2.89 4.50 1.19 1.99 Other store 1.49 2.00 2.09 2.99 .99 1.79 2.39 4.25 .99 1.79

2) Based upon your confidence interval in question 1, is there evidence that the other store’s prices are lower? Explain.

3) A school wishes to compare the effectiveness of two math curricula it’s developed. School researchers take two random samples of final math exam scores: one from students who studied the first curriculum and one from students who studied the second curriculum. Researchers then paired these scores based on grade point averages, grade level, and after school activities. Is there sufficient evidence to suggest that there is a difference between the final exam scores from the two different curricula? (Do full write-up) Student Curriculum Pair A B 1 83 90 2 90 94 3 78 75 4 82 78 5 80 72 6 93 94 7 84 80 8 90 96 9 83 84 10 86 88 11 79 82 12 96 96 13 93 90 14 86 84 15 79 83 16 83 84 17 83 84 18 85 87 19 80 85 20 76 79