You are the owner of three local sandwich shops. Recently you’ve received complaints from customers that their “footlong” sub sandwiches were less than 12 inches long. As a measure of quality assurance, data was collected on all footlong sub sandwiches made over the period of an hour at each store. Determined which, if any, of your stores are making sub sandwiches that are significantly shorter than 12 inches. You will conduct three t-tests, one for each store. You want to be 95% confident in your results. (Note. This case is inspired by reality. Search the internet for ‘claims over footlong sub’ for a historical perspective and how a company used statistics to insure consistent quality.) Sandwich Measurements Store 1 Store 2 Store 3 8.8 9.1 9.0 11.4 11.6 12.5 13.4 13.4 15.1 11.3 11.4 14.3 10.1 10.3 10.8 12.4 12.4 13.8 10.4 10.6 11.2 8.9 9.2 9.1 10.4 11.1 11.8 14.0 12.8 14.3 9.3 8.7 12.6 13.7 11.7 12.9 11.8 13.0 9.7 10.2 12.6 14.1 8.6 8.6 14.6 11.0 Statistics Store 1 Store 2 Store 3 Sample Size Mean (length) Variance Standard Deviation Hypothesized Mean (M) Difference in Means (x̄ - M) Standard Error T-Statistic Degrees of Freedom P-value P(T=t) two-tail* *Remember that the T.DIST.2T() function requires the t-statistic argument to be an absolute value, not a negative value, or an error will occur. 1. What is the null hypothesis for these tests? 2. What is the alternative hypothesis for these tests? 3. Given the desired confidence level, what alpha should be used? 4. Can you say with 95% confidence that Store 1 is producing sub sandwiches with an average length that is less than 12 inches? 5. Can you say with 95% confidence that Store 2 is producing sub sandwiches with an average length that is less than 12 inches? 6. Can you say with 95% confidence that Store 3 is producing sub sandwiches with an average length that is less than 12 inches?

You are the owner of three local sandwich shops. Recently you’ve received complaints from customers that their “footlong” sub sandwiches were less than 12 inches long. As a measure of quality assurance, data was collected on all footlong sub sandwiches made over the period of an hour at each store. Determined which, if any, of your stores are making sub sandwiches that are significantly shorter than 12 inches. You will conduct three t-tests, one for each store. You want to be 95% confident in your results. (Note. This case is inspired by reality. Search the internet for ‘claims over footlong sub’ for a historical perspective and how a company used statistics to insure consistent quality.) Sandwich Measurements Store 1 Store 2 Store 3 8.8 9.1 9.0 11.4 11.6 12.5 13.4 13.4 15.1 11.3 11.4 14.3 10.1 10.3 10.8 12.4 12.4 13.8 10.4 10.6 11.2 8.9 9.2 9.1 10.4 11.1 11.8 14.0 12.8 14.3 9.3 8.7 12.6 13.7 11.7 12.9 11.8 13.0 9.7 10.2 12.6 14.1 8.6 8.6 14.6 11.0 Statistics Store 1 Store 2 Store 3 Sample Size Mean (length) Variance Standard Deviation Hypothesized Mean (M) Difference in Means (x̄ - M) Standard Error T-Statistic Degrees of Freedom P-value P(T=t) two-tail* *Remember that the T.DIST.2T() function requires the t-statistic argument to be an absolute value, not a negative value, or an error will occur. 1. What is the null hypothesis for these tests? 2. What is the alternative hypothesis for these tests? 3. Given the desired confidence level, what alpha should be used? 4. Can you say with 95% confidence that Store 1 is producing sub sandwiches with an average length that is less than 12 inches? 5. Can you say with 95% confidence that Store 2 is producing sub sandwiches with an average length that is less than 12 inches? 6. Can you say with 95% confidence that Store 3 is producing sub sandwiches with an average length that is less than 12 inches?

Name: You are the owner of three local sandwich shops. Recently you’ve recei
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Description: You are the owner of three local sandwich shops. Recently you’ve received complaints from customers that their “footlong” sub sandwiches were less than 12 inches long. As a measure of quality assurance, data was collected on all footlong sub sandwich

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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Sandwich Measurements
Store 1	Store 2	Store 3
8.8	9.1	9.0
11.4	11.6	12.5
13.4	13.4	15.1
11.3	11.4	14.3
10.1	10.3	10.8
12.4	12.4	13.8
10.4	10.6	11.2
8.9	9.2	9.1
10.4		11.1
11.8		14.0
12.8		14.3
9.3		8.7
12.6		13.7
11.7		12.9
11.8		13.0
9.7		10.2
12.6		14.1
8.6		8.6
		14.6
		11.0

Statistics
	Store 1	Store 2	Store 3
Sample Size
Mean (length)
Variance
Standard Deviation

Hypothesized Mean (M)
Difference in Means (x̄ - M)
Standard Error
T-Statistic
Degrees of Freedom

P-value P(T=t) two-tail*
*Remember that the T.DIST.2T() function requires the t-statistic argument to be an absolute value, not a negative value, or an error will occur.

1. What is the null hypothesis for these tests?

2. What is the alternative hypothesis for these tests?

3. Given the desired confidence level, what alpha should be used?

4. Can you say with 95% confidence that Store 1 is producing sub sandwiches with an average length that is less than 12 inches?

5. Can you say with 95% confidence that Store 2 is producing sub sandwiches with an average length that is less than 12 inches?

6. Can you say with 95% confidence that Store 3 is producing sub sandwiches with an average length that is less than 12 inches?

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