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Do shoppers at the mall spend more money on average the day after Thanksgiving compared to the day after Christmas? The 47 randomly surveyed shoppers on the day after Thanksgiving spent an average of $126. Their standard deviation was $39. The 41 randomly surveyed shoppers on the day after Christmas spent an average of $119. Their standard deviation was $46. What can be concluded at the o = 0.05 level of significance? For this study, we should use t-test for the difference between two independent population means a. The null and alternative hypotheses would be: Ho H1 = H1: H1 v v b. The test statistic t 0.773 X (please show your answer to 3 decimal places.) c. The p-value = 0.2209 X (Please show your answer to 4 decimal places.)Do men score lower on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male: 65 70 84 58 93 94 59 67 91 71 76 80 Female: 83 70 99 83 79 69 82 78 90 92 65 69 87 Assume both follow a Normal distribution. What can be concluded at the the o= 0.10 level of significance level of significance? For this study, we should use t-test for the difference between two independent population means v a. The null and alternative hypotheses would be: Ho: H1 = 12 (please enter a decimal) H1: H1 v V v (Please enter a decimal) b. The test statistic -1.115 X (please show your answer to 3 decimal places.) c. The p-value = |0.138 X (Please show your answer to 4 decimal places. )Is a weight loss program based on exercise less effective than a program based on diet? The 47 overweight people put on a strict one year exercise program lost an average of 32 pounds with a standard deviation of 6 pounds. The 50 overweight people put on a strict one year diet lost an average of 34 pounds with a standard deviation of 7 pounds. What can be concluded at the o = 0.10 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: (please enter a decimal) w1 V [Please enter a decimal) c. The test statistic t -2.00 X (please show your answer to 3 decimal places. ) d. The p-value = 6.535 X [Please show your answer to 4 decimal places. )Do rats take more time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 34, 34, 23, 36, 21, 22, 32, 38, 41 Hamsters: 6, 13, 6, 8, 35, 18, 8, 18, 15, 34 Assume that both populations follow a normal distribution. What can be concluded at the o: = 0.01 level of significance level of significance? For this study, we should use t-test for the difference between two independent population means v a, The null and alternative hypotheses would be: H1 = (please enter a decimal) H1: H1 v V [Please enter a decimal) b. The test statistic t v 31.2 * (please show your answer to 3 decimal places.) c. The p-value = 7.396 X [Please show your answer to 4 decimal places.)Do college students enjoy playing sports just as much as watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below Playing Vs. Watching Sports Play 10 5 2 7 6 5 5 4 Watch 10 10 10 8 Assume a Normal distribution. What can be concluded at the the o= 0.01 level of significance level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud = (please enter a decimal) H1: 0 V [Please enter a decimal) b. The test statistic t v -0.951 X (please show your answer to 3 decimal places.) c. The p-value = 0.3544 * [Please show your answer to 4 decimal places.)Does 10K running time increase when the runner listens to music? Nine runners were timed as they ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time With 39 50 53 51 42 42 47 46 44 Music Without 36 42 48 45 39 44 43 45 45 Music Assume a Normal distribution. What can be concluded at the the o= 0.10 level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: = [please enter a decimal) v V [Please enter a decimal) b. The test statistic t v 0.10 X (please show your answer to 3 decimal places.)