# Question

A random sample of students at Oxnard College reported what they believed to be their heights in inches. Then the students measured each others' heights in centimeters, without shoes. The data shown are for the men. Assume that the conditions for t-tests hold.

a. Convert heights in inches to centimeters by multiplying inches by 2.54. Find a 95% confidence interval for the mean difference as measured in centimeters. Does it capture 0? What does that show?

b. Perform a t-test to test the hypothesis that the means are not the same.

Use a significance level of 0.05, and show all four steps.

a. Convert heights in inches to centimeters by multiplying inches by 2.54. Find a 95% confidence interval for the mean difference as measured in centimeters. Does it capture 0? What does that show?

b. Perform a t-test to test the hypothesis that the means are not the same.

Use a significance level of 0.05, and show all four steps.

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