Question 14.2 and 14.4 are to be answered only

Developing an Understanding of Statistiml Concepts Exercises I4. 1\". 3 are \"wear-i)\" analyses designed to determine what happens to tbe test statistic when tbs means, variances, and sample sizes rbange. These problems can be solved menacibr or by mating an Em! worksheet. 14.1 A statistics practitioner calculated the following statistics: Treatment Statistic 1 2 3 n 5 5 5 X 10 15 20 52 so so so a. Complete the ANOVA table. b. Repeat part (a) changing the sample sizes to 10 each. c. Describe what happens to the F-statistic when the sample sizes increase. 14.2 You are given the following statistics: Treatment Statistic I 2 3 n 4 4 4 t 20 22 9.5 52 10 10 10 Complete the ANOVA table. 9"!\" Repeat part (a) changing the variances to 25 each. c. Describe the effect on the F -statistic of increas- ing the sample variances. 14.3 The following statistics were calculated: Treatment Statistic 1 2 3 4 n 10 14 11 1 B i 30 35 33 4D 52 10 10 10 1 0 a. Complete the ANOVA table. b. Repeat part (a) changing the sample means to 130,135,133, and 140. c. Describe the effect on the F -statistic of increas- ing the sample means by 100. Applications 14.4 1 4.5 l 4.6 \"14-04 How does an MBA major affect the num ber of job offers received? An MBA student ran- domly sampled four recent graduates, one each in nance, marketing, and management, and asked them to report the number of job offers. Can we conclude at the 5% signicance level that there are dierences in the number of job offers between the three MBA majors? Finance Marketing Management 3 1 8 1 5 5 4 3 4 1 4 s \"14-05 A consumer organization was concerned about the differences between the advertised sizes of containers and the actual amount of product. In a preliminary study, six packages of three different brands of margarine that are supposed to contain 500 ml were measured. The differences from 500 ml are listed here. Do these data provide sufcient evidence to conclude that differences exist between the three brands? Use a = .01. Brand 1 Brand 2 Brand 3 1 2 1 3 2 2 3 4 4 o 3 2 1 o 3 o 4 4 \"14-05 Many college and university students obtain summer jobs. A statistics professor wanted to determine whether students in different degree programs earn different amounts. A random sample of 5 students in the BA, BSc, and BBA programs were asked to report what they earned the previ- ous summer.The results (in 51,0005) are listed here