Question

For each of the following scenarios, identify the correct procedure to use to arrive at the desired answer. DO NOT actually work the problem, simply determine which procedure would be used. You may provide the description, such as "Two independent samples test for difference in proportions." or the calculator function such as "2-PropZTest."

1. The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's male and female applicants. A random sample of 19 male applicants SAT and a random sample of 99 female applicants SAT results are drawn. Using this data, find the 95% confidence interval for the true mean difference between the scores for male applicants and female applicants.

2. Ten grade schools are randomly selected and their daily water usage (in gallons) before and after installation of new reduced flow water faucets and toilets. In order to determine whether the new faucets and toilets actually reduced water usage, they want a confidence intervals for the difference in mean usage. What procedure would be used to construct the 95% confidence?

Answer 1

Solution:

1. 1. The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's male and female applicants. A random sample of 19 male applicants SAT and a random sample of 99 female applicants SAT results are drawn. Using this data, find the 95% confidence interval for the true mean difference between the scores for male applicants and female applicants.

Answer: "2-SampTInt."

2. Ten grade schools are randomly selected and their daily water usage (in gallons) before and after installation of new reduced flow water faucets and toilets. In order to determine whether the new faucets and toilets actually reduced water usage, they want a confidence intervals for the difference in mean usage. What procedure would be used to construct the 95% confidence?

Answer: "TInterval."