**Title: Analysis of Variance in 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 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use α = .10.**a. State the null and alternative hypotheses.**- Null Hypothesis (\(H_0\)): \(\sigma_1^2\) is equal to \(\sigma_2^2\)- Alternative Hypothesis (\(H_a\)): \(\sigma_1^2\) is not equal to \(\sigma_2^2\)(Check marks indicate these selections are correct.)**b. Calculate the value of the test statistic (to 2 decimals).**- Input box for the test statistic value (Incorrect entry shown by an error icon).**c. The p-value is:**- Between .10 and .20 (Check mark indicates this selection is correct).**d. What is your conclusion?**- Cannot conclude that the departments differ in terms of unit cost variance (Check mark indicates this selection is correct).

Given data: Variances are ; S12 = 2.3 and S22 = 5.4 Significance level = 0.10 To calculate : the…

Answered: The accounting department analyzes the…

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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A teacher is interested in assessing whether or not there is the same amount of variance in the scores of a particular type of test between male and female students. She believes that the variance for girls is higher than it is for boys. After grading the test she measures the following: In her class, 15 boys had a variance of 460 and 13 girls had a variance of 1,400. Set up hypotheses to test if the teacher’s assumption that the girls’ variance of scores on the test is higher than the boys’ variance. Perform the appropriate test and fully state your results.
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 2.4 and 5.6, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use a = 0.10. You may need to use the appropriate technology to answer this question. State the null and alternative hypotheses. 2. Ho: a H: 01 Ho 2 2 +02. = 2 02, Ha: 01 >『っ 2 Ho: 01 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 Ho. We can conclude that there is a difference between the population variances. Do not reject Hg. We cannot conclude that there is a difference…
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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…

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