Question

A study compared three groups high incidence of head injuries among soccer players might affect memory recall. The following is information on scores from the Hopkins Verbal Learning Test (which measures immediate memory recall) college students (soccer athletes, nonsoccer athletes, and a comparison group consisting of students who did not participate in intercollegiate sports) to see if the Comparison Group Soccer Athletes Nonsoccer Athletes Group Sample size 86 95 51 Sample mean score 30.99 29.35 29.80 Sar standard deviation 3.74 5.12 3.76 In addition, x = 30.19. Suppose that it is reasonable to regard these three samples as random samples from the three student populations of interest. Is there sufficient evidence to conclude that the mean Hopkins score is not the same for the three student populations? Use a0.05. State the appropriate null and alternative hypotheses. (Let ,, and z be the true means for the three different groups.) at least two of the three 's are different H. O H at least two of the three u's are different. Ho 2 3 H: all three of the 's are different Ho all three of the 's are different at least two of the three 's are the same o three decimal places.) Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value F 2.76 P-value 0.000

Answer 1

Guen clata : a abula form oi cata ue have lonsocce letes Soccet AHAletes Contio 86 ample Ste as 9q.35 30.99 Sarmple mean 3. S 5.12 3.79 sample Sd 30.19 altematve hypott)esis i -The null and +o H,= H, = 14g are dfferent need to ind out the F. Nou we MSB F =- SSB = 9SW SSB En (- 30.19-29.33 6 (3o.19-29.60)+ 95 (30.19- 30.94)+ 51

3.080 60.6+35.98 10.86 - Degree of -ieedo btkocen groops = 3-1 2 09.86 MSB = 54.93 Then SSuO MSiO df SSuo 6-1)X3 45-1)x51 -)x3 188.446 2464.153+ 03. 125 =4556.224 df d bku within 1aUP (3) -) S-) 220 1 4356.224 MS ニ 19.021

54.93 F: 19. 02L 2 38 2 dfd 229 Pvalue is Sinee, P-Value >0.05) o.056 20, We-faltorejelr ktou hypoth)esis Ctto)