Question

Given the following information:

n1=21

, s21=65.396, n2=16, s22=50.452, Ha: σ21≠σ22, α=0.05

Step 1 of 2 :

Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places.

step 2 of 2: Make a decision. A. reject null hypothesis B. Fail to reject null hypothesis

Answer 1

given data are:-

hypothesis:-

test statistic be:-

df numerator = (n₁-1) = (21-1) = 20

df deniminator = (n₂-1) = (16-1) = 15

a).the critical values be:-

	critical values	excel function
	0.3886	=F.INV.RT(0.975,20,15)
	2.7559	=F.INV.RT(0.025,20,15)

the critical value(s) of the test statistic = 0.3886 , 2.7559

b).decision:-

so, we fail to reject the null hypothesis.

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