Over the years, the mean customer satisfaction rating at a local restaurant has been 85. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 85. In a sample of 42 customers chosen at random, the mean customer rating is 83.1. Assume that the population standard deviation of customer ratings is 5.3. Is there enough evidence to support the claim that the mean customer rating is different from 85? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. OSO H: I D=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

MATLAB: An Introduction with Applications
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Over the years, the mean customer satisfaction rating at a local restaurant has been 85. The restaurant was recently remodeled, and now the management
claims the mean customer rating, u, is not equal to 85. In a sample of 42 customers chosen at random, the mean customer rating is 83.1. Assume that the
population standard deviation of customer ratings is 5.3.
Is there enough evidence to support the claim that the mean customer rating is different from 85? Perform a hypothesis test, using the 0.05 level of
significance.
(a) State the null hypothesis H, and the alternative hypothesis H,.
H,: I
O<O
D>O
H: 0
D=D0
(b) Perform a Z-test and find the p-value.
Here is somne information to help you with your Z-test.
• The value of the test statistic is given by
Transcribed Image Text:Over the years, the mean customer satisfaction rating at a local restaurant has been 85. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 85. In a sample of 42 customers chosen at random, the mean customer rating is 83.1. Assume that the population standard deviation of customer ratings is 5.3. Is there enough evidence to support the claim that the mean customer rating is different from 85? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. H,: I O<O D>O H: 0 D=D0 (b) Perform a Z-test and find the p-value. Here is somne information to help you with your Z-test. • The value of the test statistic is given by
Standard Normal Distribution
0.4
Step 1: Select one-tailed or two-tailed.
One-tailed
O Two-tailed
0.3+
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
0.2+
Step 3: Shade the area represented by
the p-value.
Step 4: Enter the p-value.
(Round to 3 decimal places.)
2.
Transcribed Image Text:Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 2.
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