If we are testing for the equality of three population means, we should use the

A) test statistic t.
B) test statistic z.
C) test statistic F.
D) test statistic χ².

Question

If we are testing for the equality of three population means, we should use the​A)  ​test statistic t.B)  ​test statistic z.C)  ​test statistic F.D)  ​test statistic χ 2 .

Bridget Turner · Accepted Answer

Final Answer : C, Explanation :  When testing for the equality of three or more population means, we should use the F-test which is based on the F-distribution. The F-test is used to compare the variances of the populations and determine if they are equal or not. If the variances are equal, we can use the F-test to compare the means of the populations. On the other hand, if the variances are not equal, we can use a modified version of the F-test known as the Welch's test or the ANOVA with unequal variances. The t-test and the z-test are used for testing the equality of two population means. The χ 2  is not a valid test statistic for any hypothesis test.

If we are testing for the equality of three population means, we should use the

A) test statistic t.
B) test statistic z.
C) test statistic F.
D) test statistic χ².

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Learning Objectives

Learning Objectives

Related questions

If we are testing for the equality of three population means, we should use the​A) ​test statistic t.B) ​test statistic z.C) ​test statistic F.D) ​test statistic χ2.

Definitions

Learning Objectives

Learning Objectives

Related questions

If we are testing for the equality of three population means, we should use the

A) test statistic t.
B) test statistic z.
C) test statistic F.
D) test statistic χ².