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Over the years, the mean customer satisfaction rating at a local restaurant has been so. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to so. In a sample of 54 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 so? Perform a hypothesis test, using the 0.0s level of significance. (a) State the null hypothesis H, and the alternative hypothesis H. OSO O20 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. Normal Distribution Step 1: Select one-tailed or two-tailed O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 deci (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (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 so. ? O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the

Over the years, the mean customer satisfaction rating at a local restaurant has been so. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to so. In a sample of 54 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 so? Perform a hypothesis test, using the 0.0s level of significance. (a) State the null hypothesis H, and the alternative hypothesis H. OSO O20 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. Normal Distribution Step 1: Select one-tailed or two-tailed O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 deci (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (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 so. ? O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the

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 s0. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to so. In a sample of 54 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 so? Perform a hypothesis test, using the 0.0s level of significance. (a) State the null hypothesis , and the alternative hypothesis OSO H: D (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. Normal Distribution Step 1: Select one-tailed or two-tailed O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) (Round to 3 decimel Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (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 so. O Since the p-value is less than (or equal to) 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 so. O ince 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 so.
Transcribed Image Text:Over the years, the mean customer satisfaction rating at a local restaurant has been s0. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to so. In a sample of 54 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 so? Perform a hypothesis test, using the 0.0s level of significance. (a) State the null hypothesis , and the alternative hypothesis OSO H: D (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. Normal Distribution Step 1: Select one-tailed or two-tailed O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) (Round to 3 decimel Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (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 so. O Since the p-value is less than (or equal to) 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 so. O ince 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 so.
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