sufficent, insufficent Consider the hypothesis statement shown below. H_0: sigma
ID: 3295939 • Letter: S
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sufficent, insufficent
Consider the hypothesis statement shown below. H_0: sigma^2_1 = sigma^2_2 H_1: sigma^2_1 notequalto sigma^2_2 State your conclusion given that s_1 = 35, s_2 = 28, n_1 = 20, n_2 = 28, and alpha = 0.05. Click here to view a table of critical F-scores with 0.05 in the right tail of the distribution. Click here to view a table of critical F-scores with 0.025 in the right tail of the distribution. Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) the null hypothesis. There is evidence that the population variances are different.Explanation / Answer
The test statistic is, F = s12 / s22 = 352 / 282 = 1.5625
The critical values are = F(1-/2,n1-1,n2-1) and F(/2,n1-1,n2-1)= F(0.975,19,27) and F(0.025,19,27) = 0.41 and 2.27
Reject H0 if F < 0.41 or F > 2.27
So, do not reject the null hypothesis. There is sufficient evidence that the population variances are diffferent
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