Answered: b) Calculate the value of the test…

Name: A hotel chain wants to determine whether there is a difference in the
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Description: A hotel chain wants to determine whether there is a difference in the length of stays at two of its different brands of hotels. A simple random sample of 100 stay lengths was taken for each hotel brand. These data are shown below. Assume that the var

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 hotel chain wants to determine whether there is a difference in the length of stays at two of its different brands of hotels. A simple random sample of 100 stay lengths was taken for each hotel brand. These data are shown below. Assume that the variances are not equal.

a) State the appropriate null and alternative hypotheses.

b) Based on these sample data and a 0.01 level of significance, what conclusion should be made about the average length of stay at these two hotel chains?

Click the icon for sample data on the length of stays at these hotel chains.

a) State the appropriate null and alternative hypotheses. Let μ1 be the population mean length of stay at hotel brand 1, and let μ2 be the population mean length of stay at hotel brand 2.

A. H0: μ1−μ2=0

HA: μ1−μ2≠0

Your answer is correct.

b) Calculate the value of the test statistic.

The test statistic is

(Round to two decimal places as needed.)

(The space separates the column values) Hotel_Brand_1_Stay_Length Hotel_Brand_2_Stay_Length

4 6
1 2
3 1
1 3
1 12
4 3
7 7
1 3
6 3
2 4
5 1
1 7
2 4
1 3
3 3
4 2
2 6
4 4
2 5
9 1
5 2
1 1
4 3
2 2
3 2
9 3
2 1
4 3
5 2
5 11
1 5
7 5
2 7
2 6
9 9
6 4
1 1
9 1
3 5
5 13
6 1
4 10
3 1
5 1
2 3
4 1
2 8
2 8
3 2
2 3
1 3
6 1
6 2
5 6
2 2
2 2
2 3
2 2
2 8
3 3
1 8
2 3
1 2
1 1
2 5
2 4
2 3
3 2
3 3
2 8
4 2
3 2
5 5
3 2
2 3
1 3
4 1
3 6
1 4
3 3
5 3
3 5
4 4
4 4
3 4
3 1
5 5
1 3
2 8
3 3
3 4
4 4
6 2
8 4
3 2
2 6
3 2
3 4
7 6
3 3

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