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Over the years, the mean customer satisfaction rating at a local restaurant has been 80. The restaurant was recently remodeled, and now the management claims the mean customer rating, H, is not equal to 80. In a sample of 24 customers chosen at random, the mean customer rating is 75.4. Assume that the population standard deviation of customer ratings is 21.2 Is there enough evidence to support the claim that the mean customer rating is different from 807 Perform a hypothesis test, using the 0.05 level of significance.

Over the years, the mean customer satisfaction rating at a local restaurant has been 80. The restaurant was recently remodeled, and now the management claims the mean customer rating, H, is not equal to 80. In a sample of 24 customers chosen at random, the mean customer rating is 75.4. Assume that the population standard deviation of customer ratings is 21.2 Is there enough evidence to support the claim that the mean customer rating is different from 807 Perform a hypothesis test, using the 0.05 level of significance.

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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Over the years, the mean customer satisfaction rating at a local restaurant has been 80. The restaurant was recently remodeled, and now the management claims the mean customer rating, H, is not equal to 80. In a sample of 24 customers chosen at random, the mean customer rating is 75.4. Assume that the population standard deviation of customer ratings is 21.2 Is there enough evidence to support the claim that the mean customer rating is different from 807 Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis A. H: 0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select oe-lailed or twa-lailed. O One-tailed O Tmo tailed Step 2: Enter the tst statisti. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-valu. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the management. O since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal to 80. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is nat rejected. So, there is not enough evidence to support the daim that the mean customer rating is not equal to 80. O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal to 80. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean customer rating is not equal to 80.
Transcribed Image Text:Over the years, the mean customer satisfaction rating at a local restaurant has been 80. The restaurant was recently remodeled, and now the management claims the mean customer rating, H, is not equal to 80. In a sample of 24 customers chosen at random, the mean customer rating is 75.4. Assume that the population standard deviation of customer ratings is 21.2 Is there enough evidence to support the claim that the mean customer rating is different from 807 Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis A. H: 0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select oe-lailed or twa-lailed. O One-tailed O Tmo tailed Step 2: Enter the tst statisti. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-valu. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the management. O since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal to 80. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is nat rejected. So, there is not enough evidence to support the daim that the mean customer rating is not equal to 80. O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean customer rating is not equal to 80. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean customer rating is not equal to 80.
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