A manager is interested in testing whether three populations of interest have equal population means. Simple random samples of size 10 were selected from each population. The following ANOVA table and related statistics were computed: Conduct the appropriate test of the null hypothesis assuming that the populations have equal variances and the populations are normally distributed. Use a 0.05 level of significance. A) Using the F test approach, because F = 3.354 critical F = 3.35, we do not reject the null hypothesis and conclude that the population means are all equal.

Question

A manager is interested in testing whether three populations of interest have equal population means. Simple random samples of size 10 were selected from each population. The following ANOVA table and related statistics were computed: Conduct the appropriate test of the null hypothesis assuming that the populations have equal variances and the populations are normally distributed. Use a 0.05 level of significance. A) Using the F test approach, because F = 3.354 < critical F = 9.84, we reject the null hypothesis and conclude that the population means are not all equal. B) Using the F test approach, because F = 3.354 < critical F = 9.84, we do not reject the null hypothesis and conclude that the population means are all equal. C) Using the F test approach, because F = 9.84 > critical F = 3.35, we reject the null hypothesis and conclude that the population means are not all equal. D) Using the F test approach, because F = 9.84 > critical F = 3.35, we do not reject the null hypothesis and conclude that the population means are all equal.

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The Answer of A manager is interested in testing whether three populations of interest have equal population means. Simple random samples of size 10 were selected from each population. The following ANOVA table and related statistics were computed: Conduct the appropriate test of the null hypothesis assuming that the populations have equal variances and the populations are normally distributed. Use a 0.05 level of significance. A) Using the F test approach, because F = 3.354 < critical F = 9.84, we reject the null hypothesis and conclude that the population means are not all equal. B) Using the F test approach, because F = 3.354 < critical F = 9.84, we do not reject the null hypothesis and conclude that the population means are all equal. C) Using the F test approach, because F = 9.84 > critical F = 3.35, we reject the null hypothesis and conclude that the population means are not all equal. D) Using the F test approach, because F = 9.84 > critical F = 3.35, we do not reject the null hypothesis and conclude that the population means are all equal.

A Manager Is Interested in Testing Whether Three Populations of Interest