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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 is not equal to 80 In a sample of 54 customers chosen at random the mean customer rating is 73 6 Assume that the population standard deviation of customer ratings is 21 1 Is there enough evidence to support the claim that the mean customer rating is different from so Perform a hypothesis test using the 0 05 level of significance a State the null hypothesis H and the alternative hypothesis H H O 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 Standard 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 Step 3 Shade the area represented by the p value x 0 n Step 4 Enter the p value Round to 3 decimal places 102 The p value is two times the area under the curve to the left of the value of the test statistic 03 02 0 1 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 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 80 HX 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 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 O O OSO 0 O 020 0 0 00 X 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 4 S X X

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