Over the years, th e mean customer satisfaction rating at a local restaurant has been 75. The restaurant was recently Es remodeled, and now the management claims the mean customer rating, µ, is not equal to 75. In a sample of 37 customers chosen at random, the mean customer rating is 76.6 . Assume that the population standard deviation of customer ratings is 15.6. Is there enough evidence to support the claim that the mean customer rating is different from 75? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H1. Ho: u = 75 OSO H: µ # 75 D=0 ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x-H The value of the test statistic is given by ". The p-value is two times the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed 0.3- O Two-tailed Step 2: Enter the test statistic. 0.2 (Round to 3 decimal places.) 0.1 Step 3: Shade the area represented by the p- value. (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the management. 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 75. 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 75. 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 75.
Over the years, th e mean customer satisfaction rating at a local restaurant has been 75. The restaurant was recently Es remodeled, and now the management claims the mean customer rating, µ, is not equal to 75. In a sample of 37 customers chosen at random, the mean customer rating is 76.6 . Assume that the population standard deviation of customer ratings is 15.6. Is there enough evidence to support the claim that the mean customer rating is different from 75? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H1. Ho: u = 75 OSO H: µ # 75 D=0 ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x-H The value of the test statistic is given by ". The p-value is two times the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed 0.3- O Two-tailed Step 2: Enter the test statistic. 0.2 (Round to 3 decimal places.) 0.1 Step 3: Shade the area represented by the p- value. (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the management. 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 75. 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 75. 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 75.
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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Please help!
This is the part 'c' since it got cut off in the picture:
(c)Based on your answer to part (b), choose what can be concluded, at the
level of significance, about the claim made by the management.
0.10
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
75
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
75
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
75
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
75
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