# Question

One type of experiment that might be performed by an exercise physiologist is as follows: Each person in a random sample is tested in a weight room to determine the heaviest weight with which he or she can perform an incline press five times with his or her dominant arm (defined as the hand that a person uses for writing). After a significant rest period, the same weight is determined for each individual’s non-dominant arm. The physiologist is interested in the differences in the weights pressed by each arm. The following data represent the maximum weights (in pounds) pressed by each arm for a random sample of 18 fifteen-year old girls. Assume that the differences in weights pressed by each arm for all fifteen year old girls are approximately normally distributed.

a. Make a 99% confidence interval for the mean of the paired differences for the two populations, where a paired difference is equal to the maximum weight for the dominant arm minus the maximum weight for the non-dominant arm.

b. Using a 1% significance level, can you conclude that the average paired difference as defined in part a is positive?

a. Make a 99% confidence interval for the mean of the paired differences for the two populations, where a paired difference is equal to the maximum weight for the dominant arm minus the maximum weight for the non-dominant arm.

b. Using a 1% significance level, can you conclude that the average paired difference as defined in part a is positive?

## Answer to relevant Questions

The Bath Heritage Days, which take place in Bath, Maine, have been popular for, among other things, an eating contest. In 2009, the contest switched from blueberry pie to a Whoopie Pie, which consists of two large, chocolate ...Construct a 99% confidence interval for p̂1 – p̂2 for the following. n1 = 300, p̂1 = 55, n2 = 200, p̂2 = .62 A sample of 1000 observations taken from the first population gave x1 = 290. Another sample of 1200 observations taken from the second population gave x2 = 396. a. Find the point estimate of p1 – p2. b. Make a 98% ...A mail-order company has two warehouses, one on the West Coast and the second on the East Coast. The company’s policy is to mail all orders placed with it within 72 hours. The company’s quality control department checks ...Refer to Exercise 10.78. Now answer the questions of parts (a) and (b) there without assuming that the standard deviations are the same for the two populations but under the following two situations. a. Using the sample ...Post your question

0