restaurant has been 79 The restaurant was recently remodeled and now the management claims the...
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restaurant has been 79 The restaurant was recently remodeled and now the management claims the mean customer rating is not equal to 79 In a sample of 51 customers chosen at random the mean customer rating is 81 4 Assume that the population standard deviation of customer ratings is 7 6 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 O H 0 given by 23 b Perform a hypothesis test The test statistic has a normal distribution so the test is a z test Here is some other information to help you with your test x G n Standard Normal Distribution Step 1 Select one tailed or two tailed O One tailed O Two tailed Step 2 Enter the critical value s Round to 3 decimal places 70 05 is the value that cuts off an area of 0 0s in the right tail The test statistic has a normal distribution and the value is Step 3 Enter the test statistic Round to 3 decimal places 03 02 01 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean customer rating is not equal 79 Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean customer rating is not equal 79 O O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean customer rating is not equal 79 020 Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean customer rating is not equal 79 X X 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 OSO O O X 0 0 S
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