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Calculate Statistics for store one, two, and three** Sample size: Mean (length): Variance: Standard deviation: Hypothesized mean (M)

Calculate Statistics for store one, two, and three** Sample size: Mean (length): Variance: Standard deviation: Hypothesized mean (M)

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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**Calculate Statistics for store one, two, and three** Sample size: Mean (length): Variance: Standard deviation: Hypothesized mean (M):
Problem: Customers are complaining about sandwich length 2 You are the owner of three local sandwich shops. Recently you've received complaints from 3 customers that their "footlong" sub sandwiches were less than 12 inches long. As a measure of 4 quality assurance, data was collected on all footlong sub sandwiches made over the period of an 5 hour at each store. Determined which, if any, of your stores are making sub sandwiches that are 6 significantly shorter than 12 inches. You will conduct three t-tests, one for each store. You want to 7 be 95% confident in your results. (Note. This case is inspired by reality. Search the internet for 8 'claims over footlong sub' for a historical perspective and how a company used statistics to insure 9 consistent quality.) 10 11 Sandwich Measurements Statistics 12 Store 1 Store 2 Store 3 Store 1 Store 2 Store 3 13 8.8 9.1 9.0 Sample Size Mean (length) 14 11.4 11.6 12.5 15 13.4 13.4 15.1 Variance 16 11.3 11.4 14.3 Standard Deviation 17 10.1 10.3 10.8 18 12.4 12.4 13.8 Hypothesized Mean (M) Difference in Means (x - M) 19 10.4 10.6 11.2 20 8.9 9.2 9.1 Standard Error 21 10.4 11.1 T-Statistic 22 11.8 14.0 Degrees of Freedom 23 12.8 14.3 24 9.3 8.7 P-value P(T=t) two-tail* 25 12.6 13.7 *Remember that the T.DIST.2T() function reguires the t-statistic 26 11.7 argument to be an absolute value, not a negative value, or an error 12.9 27 11.8 will occur. 13.0 28 9.7 10.2 29 12.6 14.1 30 8.6 8.6 31 14.6 32 11.0 33 34 日。
Transcribed Image Text:Problem: Customers are complaining about sandwich length 2 You are the owner of three local sandwich shops. Recently you've received complaints from 3 customers that their "footlong" sub sandwiches were less than 12 inches long. As a measure of 4 quality assurance, data was collected on all footlong sub sandwiches made over the period of an 5 hour at each store. Determined which, if any, of your stores are making sub sandwiches that are 6 significantly shorter than 12 inches. You will conduct three t-tests, one for each store. You want to 7 be 95% confident in your results. (Note. This case is inspired by reality. Search the internet for 8 'claims over footlong sub' for a historical perspective and how a company used statistics to insure 9 consistent quality.) 10 11 Sandwich Measurements Statistics 12 Store 1 Store 2 Store 3 Store 1 Store 2 Store 3 13 8.8 9.1 9.0 Sample Size Mean (length) 14 11.4 11.6 12.5 15 13.4 13.4 15.1 Variance 16 11.3 11.4 14.3 Standard Deviation 17 10.1 10.3 10.8 18 12.4 12.4 13.8 Hypothesized Mean (M) Difference in Means (x - M) 19 10.4 10.6 11.2 20 8.9 9.2 9.1 Standard Error 21 10.4 11.1 T-Statistic 22 11.8 14.0 Degrees of Freedom 23 12.8 14.3 24 9.3 8.7 P-value P(T=t) two-tail* 25 12.6 13.7 *Remember that the T.DIST.2T() function reguires the t-statistic 26 11.7 argument to be an absolute value, not a negative value, or an error 12.9 27 11.8 will occur. 13.0 28 9.7 10.2 29 12.6 14.1 30 8.6 8.6 31 14.6 32 11.0 33 34 日。
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