Employees of a certain state university system can choose from among four differ

Question

Employees of a certain state university system can choose from among four different health plans. Each plan differs somewhat from the others in terms of hospitalization coverage. Four samples of recently hospitalized individuals were selected, each sample consisting of people covered by a different health plan. The length of the hospital stay (number of days) was determined for each individual selected. (Use Table 6 in Appendix A.) (a) If each sample consisted of six individuals and the value of the ANOVA F statistic was F = 3.27, what conclusion would be appropriate for a test with a = .01? reject H_0 fail to reject H_0 (b) Answer the question posed in Part (a) if the F value given there resulted from sample sizes n_1 = 7, n_2 = 6, n_3 = 6, and n_4 = 5. The conclusion is the following. reject H_0 fail to reject H_0

Explanation / Answer

(a) since p-value for the given F-stat > alpha (0.01);so we cant reject H0

finding out p-value in excel: =FDIST(3.27,3,20) = 0.04

df for numerator= k-1 =4-1=3

df for denominator= n-k= 6*4-4=20

(b) here also, finding out p-value in excel: =FDIST(3.27,3,20) = 0.04

since,

df for numerator= k-1 =4-1=3

df for denominator= n-k= (7+6+6+5)-4=20

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