Question

# D Question 2 USF is interested in learning about the average time it takes students to drive to campus. USF randomly sampled 238 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used to create a confidence interval and to conduct a test of hypothesis, both of which are shown in the printout below. One-Sample T Test Null Hypothesis: mu = 20 Alternative Hyp: mu > 20 95% Conf Interval Variable n r F SE Upper P Mea Lowe 1 pts Travel Time 23.243 3133 0 T D Cases Included 238 1. 20.655 25.83 2.47 237 0.0071 What assumptions are necessary for the/nof which are shown in the printout below. One-Sample T Test Null Hypothesis: mu = 20 Alternative Hyp: mu > 20 95% Conf Interval Variable n r F SE Upper P Mea Lowe TravelTime 3133 20.655 0 2.47 237 Cases Included 238 T D 23.243 25.83 0.0071 1. What assumptions are necessary for the above test and confidence interval above to be valid? O The population variance must be approximately normally distributed. O The population of travel times must have an approximate t-distribution. The population of travel times must be approximately normally distributed. O None of these listed, since the Central Limit Theorem can be applied when n ≥ 30  Fig: 1  Fig: 2