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 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use ? = 0.10. State the null and alternative hypotheses. -H0: ?12 > ?22 Ha: ?12 ≤ ?22 -H0: ?12 ≠ ?22 Ha: ?12 = ?22 -H0: ?12 ≤ ?22 Ha: ?12 > ?22 -H0: ?12 = ?22 Ha: ?12 ≠ ?22 Find the value of the test statistic. (Round your answer to two decimal places.) statistic=?? 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. -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. -Do not 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use

? = 0.10.

State the null and alternative hypotheses.

-H₀: ?₁² > ?₂²

H_a: ?₁² ≤ ?₂²

-H₀: ?₁² ≠ ?₂²

H_a: ?₁² = ?₂²

-H₀: ?₁² ≤ ?₂²

H_a: ?₁² > ?₂²

-H₀: ?₁² = ?₂²

H_a: ?₁² ≠ ?₂²

Find the value of the test statistic. (Round your answer to two decimal places.)

statistic=??

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.

-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.

-Do not 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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