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Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint. Complete parts (a) through (d). E Click the icon to view the data table. a. The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 40 days. At the 0.05 level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 40)? State the null and alternative hypotheses. Họ: H = 40 H:p * 40 Data Table Determine the test statistic. The test statistic is 0.6409'. Days between receipt and resolution of complaint 6 51 60 35 134 37 23 145 2 119 (Round to four decimal places as needed.) 75 70 25 21 12 121 106 110 19 95 81 33 27 20 1 11 8 166 36 36 Find the p-value. 27 27 20 10 10 12 18 13 13 13 23 51 37 22 37 21 26 23 30 67 p-value = (Round to four decimal places as needed.) Print Done

Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint. Complete parts (a) through (d). E Click the icon to view the data table. a. The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 40 days. At the 0.05 level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 40)? State the null and alternative hypotheses. Họ: H = 40 H:p * 40 Data Table Determine the test statistic. The test statistic is 0.6409'. Days between receipt and resolution of complaint 6 51 60 35 134 37 23 145 2 119 (Round to four decimal places as needed.) 75 70 25 21 12 121 106 110 19 95 81 33 27 20 1 11 8 166 36 36 Find the p-value. 27 27 20 10 10 12 18 13 13 13 23 51 37 22 37 21 26 23 30 67 p-value = (Round to four decimal places as needed.) Print Done

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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### Statistical Analysis of Complaint Resolution Times #### Background Last year, a company received 50 complaints regarding carpet installation. The data provided represents the number of days between the receipt of each complaint and its resolution. #### Hypothesis Testing The supervisor claims that the mean time for resolving a complaint is 40 days. Our goal is to test this claim at the 0.05 level of significance to determine if there is evidence that the actual mean time differs from 40 days. **Null and Alternative Hypotheses:** - \( H_0: \mu = 40 \) - \( H_1: \mu \neq 40 \) #### Data Table A detailed table presents the number of days for complaint resolution: | Days between receipt and resolution of complaint | |--------------------------------------------------| | 51 60 6 35 134 37 23 145 2 119 | | 75 70 25 21 12 121 106 110 19 95 | | 81 33 27 20 11 8 166 36 37 106 | | 27 27 20 10 10 12 18 13 13 13 | | 23 51 37 22 37 21 26 23 30 67 | #### Statistical Calculations - **Test Statistic:** \( 0.6409 \) (Rounded to four decimal places) - **p-value:** The p-value needs to be calculated and rounded to four decimal places. By examining the test statistic and p-value, one can determine whether the null hypothesis should be rejected, thereby assessing the validity of the supervisor's claim regarding the complaint resolution times.
Transcribed Image Text:### Statistical Analysis of Complaint Resolution Times #### Background Last year, a company received 50 complaints regarding carpet installation. The data provided represents the number of days between the receipt of each complaint and its resolution. #### Hypothesis Testing The supervisor claims that the mean time for resolving a complaint is 40 days. Our goal is to test this claim at the 0.05 level of significance to determine if there is evidence that the actual mean time differs from 40 days. **Null and Alternative Hypotheses:** - \( H_0: \mu = 40 \) - \( H_1: \mu \neq 40 \) #### Data Table A detailed table presents the number of days for complaint resolution: | Days between receipt and resolution of complaint | |--------------------------------------------------| | 51 60 6 35 134 37 23 145 2 119 | | 75 70 25 21 12 121 106 110 19 95 | | 81 33 27 20 11 8 166 36 37 106 | | 27 27 20 10 10 12 18 13 13 13 | | 23 51 37 22 37 21 26 23 30 67 | #### Statistical Calculations - **Test Statistic:** \( 0.6409 \) (Rounded to four decimal places) - **p-value:** The p-value needs to be calculated and rounded to four decimal places. By examining the test statistic and p-value, one can determine whether the null hypothesis should be rejected, thereby assessing the validity of the supervisor's claim regarding the complaint resolution times.
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