Katy had two choices of routes to get her to work. She wanted to choose the rout
ID: 3315348 • Letter: K
Question
Katy had two choices of routes to get her to work. She wanted to choose the route that would get her to work fastest, on average. To determine which route would get her to work faster, on average, she randomly selected 10 days and took Route 1 on those 10 days. Then she randomly selected a different 10 days and took Route 2 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 means 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 O A. Since both sample sizes are small, Katy would have to believe that all commuting times for both routes are normally distributed in order for the distribution of O B. Since both sample sizes are small, Katy would have to believe that all commuting times for both routes are normally distributed in order for the commuting ° C. Because the sample of days to take route 1 and route 2 were chosen randomly, the distribution of the difference in sample means will be approximately O D. Since both sample sizes are small, the distribution of the difference in sample means will not be normal regardless of the shape of the distributions of all the difference in sample means to be normal times used in the samples to be representative of all commuting times for both routes normal commuting times for both routesExplanation / Answer
here option A is correct ; since both sample size are small ; Katy wuld have to believe that all commuting lines for both routes are normally distributed........differnce in the sample means to be normal
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.