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Do men score lower on average compared to women on their statistics finals? Final exam scores of tweIVe randomly selected male statistics students and thirteen

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Do men score lower on average compared to women on their statistics finals? Final exam scores of tweIVe randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male: 83 72 76 67 92 78 60 65 86 95 69 64 Female: 71 83 99 66 69 82 67 67 66 72 89 92 71 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 9 a. The null and alternative hypotheses would be: H0: Select an answer a Select an answer a Select an answer (please enter a decimal) H1: Select an answer a Select an answer Select an anSWer 9 (Please enter a decimal) b. The test statistic ? 8 = 1 (please show your answer to 3 decimal places.) c. The p-value = l 7 (Please show your answer to 4 decimal places.) d. The p-value is ? a a e. Based on this, we should Select an answer the null hypothesis. 1'. Thus, the final conclusion is that 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 less than the mean final exam score for the thirteen women that were observed. 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 less 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 insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is less than the population mean , 77;..- l-.. ..._u

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