Assume you have a research problem appropriate for an ANOVA with the following i

Question

Assume you have a research problem appropriate for an ANOVA with the following information: MSw=9.92, MSB=26.67, dfW=26, dfB=3, .05 level of significance. Calculate the F ratio, identify the critical value, and state whether you would accept or reject the null hypothesis. Write your findings (i.e., F ratio, critical value, and acceptance or rejection of the null) below Assume you have a research problem appropriate for an ANOVA with the following information: MSw=9.92, MSB=26.67, dfW=26, dfB=3, .05 level of significance. Calculate the F ratio, identify the critical value, and state whether you would accept or reject the null hypothesis. Write your findings (i.e., F ratio, critical value, and acceptance or rejection of the null) below

Explanation / Answer

Solution:

We are given

MSW = 9.92

MSB = 26.67

dfW = 26

dfB = 3

= 0.05

The test statistic formula for ANOVA test is given as below:

F = MSB / MSW

F = 26.67/9.92

F = 2.688508

We have

df1 = 3, df2 = 26, = 0.05

So by using F-table, critical value is given as below:

Critical F = 2.975154

Test statistic F < Critical F

So, we do not reject the null hypothesis

Also,

P-value = 0.067122 (by using F-table)

= 0.05

P-value >

So, we do not reject the null hypothesis

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