Deshaun is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of the company: Unlimited and Traditional. Deshaun wants to determine, for workers in the tech industry, if the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan. Deshaun surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 16 workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. For the workers with an Unlimited plan, the sample mean is 17.6 with a sample variance of 44.6. For the workers with a Traditional plan, the sample mean is 15.9 with a sample variance of 9.7. Assume that the two populations of vacation days taken are approximately normally distributed. Can Deshaun conclude, at the 0.10 level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than the population mean of the yearly number of vacation days taken by workers with a Traditional plan?
Deshaun is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of the company: Unlimited and Traditional. Deshaun wants to determine, for workers in the tech industry, if the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan. Deshaun surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 16 workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. For the workers with an Unlimited plan, the sample mean is 17.6 with a sample variance of 44.6. For the workers with a Traditional plan, the sample mean is 15.9 with a sample variance of 9.7. Assume that the two populations of vacation days taken are approximately normally distributed. Can Deshaun conclude, at the 0.10 level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than the population mean of the yearly number of vacation days taken by workers with a Traditional plan?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
CDE
Transcribed Image Text:### Statistical Analysis Exercise
#### Questions:
(c) **Find the value of the test statistic.**
- Task: Round your answer to three or more decimal places.
- Input Box Provided.
(d) **Find the critical value.**
- Note: Round your answer to three or more decimal places.
- Input Box Provided.
- Reference to "critical value" is hyperlinked.
(e) **Hypothesis Testing:**
At the 0.10 level of significance, can Deshaun conclude that the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan?
- Options:
- ○ Yes
- ○ No
This exercise involves evaluating statistical significance using hypothesis testing to compare the means of two different vacation plans at a specified significance level.
Transcribed Image Text:**Transcription for Educational Website:**
Deshaun is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of the company: Unlimited and Traditional. Deshaun wants to determine, for workers in the tech industry, if the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan.
Deshaun surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 16 workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. For the workers with an Unlimited plan, the sample mean is 17.6 with a sample variance of 44.6. For the workers with a Traditional plan, the sample mean is 15.9 with a sample variance of 9.7.
Assume that the two populations of vacation days taken are approximately normally distributed. Can Deshaun conclude, at the 0.10 level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than the population mean of the yearly number of vacation days taken by workers with a Traditional plan?
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