Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male: 65 94 63 85 84 72 79 80 95 79 75 84 Female: 54 60 81 72 65 66 61 77 64 77 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance 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: μ1 ♦ μ2 (please enter a decimal) H₁: μ1 μ2 (Please enter a decimal) b. The test statistic t ♦ = 3.125 x (please show your answer to 3 decimal places.) c. The p-value .0028 x (Please show your answer to 4 decimal places.) d. The p-value is α e. Based on this, we should reject + the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. ● The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean final exam score for the twelve men that were observed is more than the mean final exam score for the ten women that were observed.

Do men score the same on average compared to women on their statistics finals? Final exam scores of eleven randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male: 70 81 94 62 73 84 87 57 92 76 75 Female: 86 48 66 80 46 74 66 67 66 76 82 46 67 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ? v (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are…

Do students perform worse when they take an exam alone than when they take an exam in a classroom setting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below. Exam Scores Alone 83 77 76 84 83 76 70 76 Classroom 92 73 77 86 86 81 75 81 Assume a Normal distribution. What can be concluded at the the a = significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: H₁: Select an answer ✓ Select an answer ✓ Select an answer ✓ Select an answer ✓ b. The test statistic ? | = c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... 0.05 level of significance level of Select an answer (please enter a decimal) Select an answer (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer…

Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 8 8 35 10 29 14 40 27 11 15 27 37 Rich: 47 31 38 19 19 46 46 34 49 25 19 13 28 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: H₁: Select an answer ✓ Select an answer Select an answer ✓ Select an answer ✓ b. The test statistic ? | = c. The p-value d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... Select an answer ✓ (please enter a decimal) Select an answer ✓ (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The results are statistically significant at a = 0.01, so there is…