Over the years, the mean customer satisfaction rating at a local restaurant has been 79. The restaurant was recently remodeled, and now the management claims the mean customer rating, µ, is not equal to 79. In a sample of 51 customers chosen at random, the mean customer rating is 81.2. Assume that the population standard deviation of customer ratings is 7.5. Is there enough evidence to support the claim that the mean customer rating is different from 79? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H,. Ho: 0 H1: 0 ロ<ロ OSO ロ>ロ ロ=ロ ロロ (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. の

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Please help with a,b,c 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.Is it less than or greater than the level of significance. Is there enough evidence to support? Is is equal or not equal to 79?
Over the years, the mean customer satisfaction rating at a local restaurant has been 79. The restaurant was recently remodeled,
and now the management claims the mean customer rating, µ, is not equal to 79. In a sample of 51 customers chosen at random,
the mean customer rating is 81.2. Assume that the population standard deviation of customer ratings is 7.5.
Is there enough evidence to support the claim that the mean customer rating is different from 79? Perform a hypothesis test, using
the 0.10 level of significance.
(a) State the null hypothesis H and the alternative hypothesis H,.
Ho: 0
O<O
OSO
H: 0
D=0
(b) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
呂
Transcribed Image Text:Over the years, the mean customer satisfaction rating at a local restaurant has been 79. The restaurant was recently remodeled, and now the management claims the mean customer rating, µ, is not equal to 79. In a sample of 51 customers chosen at random, the mean customer rating is 81.2. Assume that the population standard deviation of customer ratings is 7.5. Is there enough evidence to support the claim that the mean customer rating is different from 79? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 O<O OSO H: 0 D=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. 呂
Standard Normal Distribution
0.4
Step 1: Select one-tailed or two-tailed.
O 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.
0.1+
Step 4: Enter the p-value.
(Round to 3 decimal places.)
Transcribed Image Text:Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. O 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. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.)
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