Question
The accounting department analyzes the variance of the weekly unit costs reported by two production departments....
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.6 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use α = 0.10.
State the null and alternative hypotheses.
H0: σ12 = σ22
Ha: σ12 ≠ σ22
H0: σ12 > σ22
Ha: σ12 ≤ σ22
H0: σ12 ≠ σ22
Ha: σ12 = σ22
H0: σ12 ≤ σ22
Ha: σ12 > σ22
Find the value of the test statistic. (Round your answer to two decimal places.)
=
Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.))
p-value =
State your conclusion.
Do not reject H0. We can conclude that there is a difference between the population variances.
Do not reject H0. We cannot conclude that there is a difference between the population variances.
Reject H0. We can conclude that there is a difference between the population variances.
Reject H0. We cannot conclude that there is a difference between the population variances.
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