Use the following analysis of variance (ANOVA) table to answer the next two ques

Question

Use the following analysis of variance (ANOVA) table to answer the next two questions. Calculate the value of the mean squared error (MSE). (a) 76.587 (b) 1.740 (c) 1.915 (d) 19.147 Which one of the following gives the rejection region for performing the F-test that all five population means are equal when alpha = 0.05? (a) Reject H_0 if F greaterthanorequalto 5.72. (b) Reject H_0 if F lessthanorequalto 5.72. (c) Reject H_0 if F greaterthanorequalto 2.61. (d) Reject H_0 if F greaterthanorequalto 1.65.

Explanation / Answer

17. MSE = SSE / DF = 76.587 / 40 = 1.915

Option C is correct.

18. For 4 numerator df, 40 denominator df and 0.05 level of significance,

Critical F = 2.61

Hence,

Reject Ho if F > 2.61

Option C is correct.

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