A random sample of students at a college reported what they believed to be their heights in inches. Then the students measured each others' heights in centimeters, with shoes. The data provided are for the men, with their believed heights converted from inches to centimeters. Assume that conditions for t-tests hold. Complete parts a and below. Click the icon to view the data. a. Find a 95% confidence interval for the mean difference as measured in centimeters. Does it capture 0? What does that show? The 95% confidence interval for measured - believed is (-1.831, 0.969) (Round to three decimal places as needed.) The interval does include 0, so a hypothesis that the means are equal cannot be rejected. b. Perform a t-test to test the hypothesis that the means are not the same. Use a significance level of 0.05. Determine the hypotheses for this test. Let difference be the population mean difference between measured and believed height, in centimeters. Choose the correct answe below. A. Ho Hdifference = 0 Ha Hdifference #0 OC. Ho Hdifference *0 Ha difference >0 OE. Ho Hdifference #0 Ha difference 0 Find the test statistic for measured - believed for this test. t=-2.62 (Round to two decimal places as needed.) OB. Ho difference = 0 Ha: difference >0 OD. Ho Pdifference #0 Ha: Pdifference