Question

In: Statistics and Probability

Consider the following hypothesis test. H0: σ12 = σ22 Ha: σ12 ≠ σ22 (a) What is...

Consider the following hypothesis test.

H0: σ12 = σ22

Ha: σ12 ≠ σ22

(a)

What is your conclusion if

n1 = 21, s12 = 8.2, n2 = 26, and s22 = 4.0?

Use α = 0.05 and the p-value approach.

Find the value of the test statistic.

Find the p-value. (Round your answer to four decimal places.)

State your conclusion.

(b)

Repeat the test using the critical value approach.

Find the value of the test statistic.

State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.)

test statistic≤ ______

test statistic≥ ______

State your conclusion.

Solutions

Expert Solution

b)

a) F = 2.05, df1 = 20, df2 = 25

value of test statistic is 2.05

Right-tail p-value is

2*0.04518

0.090

P values greater than 0.05 so we can not reject null hypothesis.

R command: pf(2.05, 20, 25, lower.tail=FALSE) or 1-pf(2.05, 20, 25)

please like ??


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