Omar 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. Omar 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. Omar 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. These data are shown in the table. Vacation days taken Unlimited 21 , 20 , 29 , 29 , 20 , 7 , 19 , 11 , 23 , 9 , 19 , 8 , 13 , 19 , 22 , 20 , 12 Traditional 15 , 17 , 17 , 14 , 16 , 13 , 9 , 12 , 17 , 12 , 16 , 15 , 13 , 13 , 16 , 13 Send data to calculator Send data to Excel Assume that the two populations of vacation days taken are approximately normally distributed. Can Omar conclude, at the 0.01 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? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternate hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, can Omar 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? Yes No

Omar 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. Omar 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. Omar 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. These data are shown in the table. Vacation days taken Unlimited 21 , 20 , 29 , 29 , 20 , 7 , 19 , 11 , 23 , 9 , 19 , 8 , 13 , 19 , 22 , 20 , 12 Traditional 15 , 17 , 17 , 14 , 16 , 13 , 9 , 12 , 17 , 12 , 16 , 15 , 13 , 13 , 16 , 13 Send data to calculator Send data to Excel Assume that the two populations of vacation days taken are approximately normally distributed. Can Omar conclude, at the 0.01 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? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternate hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, can Omar 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? Yes No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Omar surveys a random sample of

workers who have the Unlimited plan and a random sample of

workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. These data are shown in the table.

	Vacation days taken
Unlimited	21 , 20 , 29 , 29 , 20 , 7 , 19 , 11 , 23 , 9 , 19 , 8 , 13 , 19 , 22 , 20 , 12
Traditional	15 , 17 , 17 , 14 , 16 , 13 , 9 , 12 , 17 , 12 , 16 , 15 , 13 , 13 , 16 , 13

Send data to calculator

Send data to Excel

Assume that the two populations of vacation days taken are approximately normally distributed. Can Omar conclude, at the

0.01

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?

Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

(a)	State the null hypothesis H0 and the alternate hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the critical value. (Round to three or more decimal places.)

(e)	At the 0.01 level of significance, can Omar 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?
Yes No

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step by step

Solved in 7 steps with 2 images

SEE SOLUTION Check out a sample Q&A here