Question

Do men score higher on average compared to women on their statistics test? test scores of ten randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 63 91 92 56 76 61 83 61 62 71 Female: 46 85 57 53 46 70 46 72 53 61 84 46 Assume both follow a Normal distribution. What can be concluded at the the α = 0.05 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : (please enter a decimal) H 1 : (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at α = 0.05, so there is insufficient evidence to conclude that the population mean statistics test score for men is more than the population mean statistics test score for women. The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the population mean statistics test score for men is more than the population mean statistics test score for women. The results are statistically insignificant at α = 0.05, so there is statistically significant evidence to conclude that the population mean statistics test score for men is equal to the population mean statistics test score for women. The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the mean test score for the ten men that were observed is more than the mean test score for the twelve women that were observed.

Answer 1