Grace Floral Shop claims that their average daily earnings is $497. An auditor wants to determine whether this claim is true. The auditor randomly selected a sample of 100 days and found that the sample mean earnings was $495 with a sample standard deviation of 9.75.
a) Calculate the 97% confidence interval for the population mean daily earning.Assist the auditor in conducting a hypothesis test, at the 3% level of significance, to determinewhether the claim about their average daily earnings was overstated.b) State the null and the alternative hypothesis for this test.c) Using the p-value approach, state the decision rule for this test.d) Calculate the value of the test statistic for this test.e) Calculate the p-value for this test?f) State the conclusion of this test. Give reason for your answer.
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