You have set up a hypothesis test to determine if the plywood sheets being produced by your mill meet company standards. For each large batch of sheets, you select a sample of six sheets and count the number of surface flaws in each. You then compute the average number of flaws in the sample and use the sample result to test the following hypotheses: H0: μ < 3.5 (The average number of flaws in the large batch of plywood sheets is 3.5 or less.) Ha: μ > 3.5 (The average number of flaws in the batch of plywood sheets is greater than 3.5.) Suppose a particular sample of six sheets yields the following data:
Use a significance level of .05. Assume that the population distribution of flaws in a sheet is normal. Determine the p value for the sample mean here and use it to decide whether you can reject the null hypothesis. (If you are using Excel, use the statistical function T. DIST. RT.)
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