Description
Problem 1: Suppose that against a certain opponent the number of points the BILGI basketball team scores is normally distributed with unknown mean 𝜇 and unknown variance, ! . Suppose that the scores of the last 10 games between the two teams, BILGI scored the following points:
59, 62, 59, 74, 70, 61, 62, 66, 62, 75
a. Compute sample mean 𝑥̅ and sample variance s2
Problem 2: It is believed that the proportion of the boys getting placed trough campus recruitment is higher than that of the girls. Among 670 boys and 630 girls in the final semester of an engineering college, 320 and 280 got placed in various companies through the campus recruitment, respectively. Can we conclude that at a 0.05 level of significance the proportion of boys getting places is more than that of the girls?
Problem 3: To find out whether medicine A is more effective at managing insomnia than medicine B, 11 patients were selected. 6 patients received medicine A, and 5 patients received Medicine B. The time taken to fall asleep in minutes is as follows. Medicine A: 22, 24, 20, 26, 28, 16. Medicine B: 14, 20, 10, 20, 12. Can medicine B be said to be more effective? Assume the two populations are normally distributed with unequal variances. Use a significance level of 0.05.
