A study presented data given in response to the question "What is the fastest you have ever driven a car? mph." The question of interest is whether the mean fastest speed driven by college men and college women is equal versus the alternative that it is higher for men. What hypotheses are appropriate? Select all that apply. Cl HoiMw= OVS-HaillMw* Ti Ho:,ud=0vs.Ha:pd>0 7 Ho! I'M = #w V5- Ha: #M > .uw :7 HoiM#w= OVS-HaillMllw> 0 3 Ho! #M = #w V5-Hall1M * [M The summary statistics are: Females: n = 103, mean = 88.3, standard deviation = 14.5 Males: n = 86, mean = 107.3, standard deviation = 17.3 To conduct an appropriate test, which of the following conditions are necessary? Select all that apply. :1 The population sizes of college men and women must be at least 10 times the sample sizes. 3 The sample distributions of fastest speeds must be slightly skewed with no outliers. The sample distributions of fastest speeds must be roughly symmetric. \"l The college men and women must have been randomly selected from their populations. :l The sample distributions of fastest speeds can have any shape but must have no extreme outliers. :i The sample distributions of fastest speeds must be slightly skewed and have only mild outliers. Which of the following tests is appropriate? Select all that apply. :1 The pooled 2-sample t-test j The paired t-test j The l-sample t-test for means \"i The 1-sample z-test for proportions :l The 2-sample t-test (unequal variances) :1 The 1-sample z-test for means Calculate the test statistic and p-value, and verify that you are able to draw a picture of the sampling distribution, correctly labeled. Then choose the correct conclusion. 1" Do not reject the null hypothesis. There is evidence to conclude that the mean reported fastest driving speed for college men is greater than it is for college women. f' Reject the null hypothesis. There is evidence to conclude that the mean reported fastest driving speed for college men is greater than it is for college women. A; Do not reject the null hypothesis. There is not evidence to conclude that the mean reported fastest driving speed for college men is greater than it is for college women. _" Reject the null hypothesis. There is not evidence to conclude that the mean reported fastest driving speed for college men is greater than it is for college women