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10 1 Sandwich Measurements 12 Store 1 Store 2 Store 3 13 8.8 9.1 9.0 14 11.4 11.6 12.5 15 13.4 13.4 15.1 11.3 11.4 14.3 10.1 10.3 10.8 12.4 13.8 10.6 11.2 9.2 с F 1 Problem: Customers are complaining about sandwich length 2 You are the owner of three local sandwich shops. Recently you've received complaints from customers 3 that their "footlong" sub sandwiches were less than 12 inches long. As a measure of quality assurance, 4 data was collected on all footlong sub sandwiches made over the period of an hour at each store. 5 Determined which, if any, of your stores are making sub sandwiches that are significantly shorter than 12 6 inches. You will conduct three t-tests, one for each store. You want to be 95% confident in your results. 7 (Note. This case is inspired by reality. Search the internet for 'claims over footlong sub' for a historical 8 perspective and how a company used statistics to insure consistent quality.) 19 16 17 18 19 20 21 22 12.4 10.4 8.9 10.4 11.8 12.8 9.3 25 12.6 26 11.7 27 11.8 28 9.7 23 24 29 30 31 32 12.6 8.6 9.1 11.1 14.0 14.3 8.7 E 13.7 12.9 13.0 10.2 14.1 8.6 14.6 11.0 Sample Size Mean (length) Variance Standard Deviation Statistics Hypothesized Mean (M) Difference in Means (X-M) Standard Error T-Statistic Degrees of Freedom H Store 1 Store 2 Store 3 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. Interpret the Results 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?

10 1 Sandwich Measurements 12 Store 1 Store 2 Store 3 13 8.8 9.1 9.0 14 11.4 11.6 12.5 15 13.4 13.4 15.1 11.3 11.4 14.3 10.1 10.3 10.8 12.4 13.8 10.6 11.2 9.2 с F 1 Problem: Customers are complaining about sandwich length 2 You are the owner of three local sandwich shops. Recently you've received complaints from customers 3 that their "footlong" sub sandwiches were less than 12 inches long. As a measure of quality assurance, 4 data was collected on all footlong sub sandwiches made over the period of an hour at each store. 5 Determined which, if any, of your stores are making sub sandwiches that are significantly shorter than 12 6 inches. You will conduct three t-tests, one for each store. You want to be 95% confident in your results. 7 (Note. This case is inspired by reality. Search the internet for 'claims over footlong sub' for a historical 8 perspective and how a company used statistics to insure consistent quality.) 19 16 17 18 19 20 21 22 12.4 10.4 8.9 10.4 11.8 12.8 9.3 25 12.6 26 11.7 27 11.8 28 9.7 23 24 29 30 31 32 12.6 8.6 9.1 11.1 14.0 14.3 8.7 E 13.7 12.9 13.0 10.2 14.1 8.6 14.6 11.0 Sample Size Mean (length) Variance Standard Deviation Statistics Hypothesized Mean (M) Difference in Means (X-M) Standard Error T-Statistic Degrees of Freedom H Store 1 Store 2 Store 3 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. Interpret the Results 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?

MATLAB: An Introduction with Applications
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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Hello. can someone let me know what formulas I would use for the tan part of the spreadsheet?

 Write formulas for each tan colored cell in the “statistics” table

 

# Problem: Customers are complaining about sandwich length 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. Determine 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 ensure consistent quality.) ## Data ### Sandwich Measurements | | Store 1 | Store 2 | Store 3 | |------|--------|--------|--------| | 1 | 8.8 | 9.1 | 9.0 | | 2 | 11.4 | 11.6 | 12.5 | | 3 | 13.4 | 14.5 | 11.1 | | 4 | 11.3 | 11.4 | 14.3 | | 5 | 11.1 | 13.0 | 10.8 | | 6 | 12.4 | 12.3 | 8.9 | | 7 | 10.6 | 11.2 | 11.2 | | 8 | 8.9 | 9.2 | 11.5 | | 9 | 10.4 | 11.1 | 13.1 | | 10 | 11.4 | 11.4 | 12.2 | | 11 | 12.8 | 13.3 | 10.2 | | 12 | 13.2 | | 8.3 | | 13 | 12.6 | | 5.7 | | 14 | 11.7 | | 11.0 | ### Statistics | Statistic |
Transcribed Image Text:# Problem: Customers are complaining about sandwich length 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. Determine 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 ensure consistent quality.) ## Data ### Sandwich Measurements | | Store 1 | Store 2 | Store 3 | |------|--------|--------|--------| | 1 | 8.8 | 9.1 | 9.0 | | 2 | 11.4 | 11.6 | 12.5 | | 3 | 13.4 | 14.5 | 11.1 | | 4 | 11.3 | 11.4 | 14.3 | | 5 | 11.1 | 13.0 | 10.8 | | 6 | 12.4 | 12.3 | 8.9 | | 7 | 10.6 | 11.2 | 11.2 | | 8 | 8.9 | 9.2 | 11.5 | | 9 | 10.4 | 11.1 | 13.1 | | 10 | 11.4 | 11.4 | 12.2 | | 11 | 12.8 | 13.3 | 10.2 | | 12 | 13.2 | | 8.3 | | 13 | 12.6 | | 5.7 | | 14 | 11.7 | | 11.0 | ### Statistics | Statistic |
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