Question

(1 point) There are four student employees at the Computer Help Desk. The supervisor wants to determine if there is a difference in the mean number of clients served per hour between the four employees. The data from a random selection of hours is depicted below. The second table displays results from an ANOVA test on this data with software. The supervisor claims there is a difference in the mean number of clients served per hour for these employees. Clients Served in the Hour Alan 4 4 3 3 4 4 Beth 5 4 7 5 5 5 4 6 Carl 2 2 3 2 4 4 5 Denise 4 2 4 3 6 4 5 5 7 3.66667 5.33333 3.14286 3.66667 0 ANOVA Results F P-value 4.43804 0.0116500 (a) Test the supervisor's claim at the 0.05 significance level. There is sufficient evidence to conclude that the population means are not equal. O Yes O No (b) Does your conclusion change at the 0.01 significance level? Yes No

Answer 1

Answer :-

@ S To test null of alternative Hypothesis Ho er = 12 = 48 = 14 Ys Mi: At least one ai is different test Statistik, F = 4:438044p-ro rallee = 0.0116 500 parallee so A Decision Af X=0.05, we Reject Ho. t. Yes there is sufficient evidence to conclude that means not equal the population are ( At o=0:0) value >a, paralee so we fail to Reject Ho. conclusion & NO conclusion change at x = 0.0) & there is not sufficient evidence to conclude that the population population means are different for the number of clients served hour for these per employees

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