Answer Happy

1. Independent random samples of Test 1 scores of males and females for an introductory statistics course are taken. The data is given below: Sample Mean 85.429 89.167 Scores 79 99.76 92 91 72 89 81 96 72 89 100 97 Sample Variance 96.952 117.367 Males Females a. Give a 99% confidence interval for the difference of the mean scores (mean score for Females minus mean score for Males) assuming two normal populations, independent random samples, and equal variances for the two populations. b. Assuming two normal populations test to see if there is evidence to doubt that the two population variances are equal. Use a = 0.05. C. Assuming two normal populations and independent random samples, do the data provide evidence that the female students tend to perform better on Test 1, on the average, than the male students? Use the appropriate test based on your conclusion in part b at a = 0.05.