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.

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Men Men Centimeters Inches Centimeters Inches 70 69 71 69 67 67 72 178 166 172 184 166 191 173 174 191 68 73 67 76 68 69 76 181 175 170 184