This Question: 1 pt This Quiz: 15 pts possible oestion Help * Katy had two choic

Question

This Question: 1 pt This Quiz: 15 pts possible oestion Help * Katy had two choices of routes to get her to work. She warted to choose the route that would get her to work fastet, on aveage. To detormine which route would get on those 10 days. She recorded the time, in minutes, it took her to get from her house to work on each of those 20 days Katy wanted to construct a confidence interval for the difference in population moans using the two-sample t-methods. Which of the following statements is true regarding the conditions that must be met for Katy to use the two-sample t-methods for inference in this problem? Choose the correct answer below A. Siroe both sample sizes aro small Katy would have to believe t at all commfrig timesfor boh routes are nonnalydsttuted iarderforto dshbuson af O B. Since both sample sizes are small. Katy would have to beleve tatalcom trg imestr botmes are non dsthed i, orderfone comming O C. Sinoe both sample sizes are small, the distribution of the diference in sample means ill not be normal egardless of the shape of the distributions of all O D. Because the sample of days to take route 1 and route 2 were chosen randomly, the distribution of the diference in sample means will be approximately the difference in sample means to be normal times used in the samples to be representative of all commuting 5imes for both routes commuting times for both routes normal. Click to select your answer 8 80888 FS

Explanation / Answer

as the sample size is small parametric test will no be useful. but here she wants to do a parametric test. then she should see whether times taken for both route are following approximately normal or not. so here option B is correct.

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