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K The dean of a university estimates that the mean number of classroom hours per week for full time faculty is 11 0 As a member of the student council you want to test this claim A random sample of the number of classroom hours for eight full time faculty for one week is shown in the table below At a 0 05 can you reject the dean s claim Complete parts a through d below Assume the population is normally distributed 12 7 8 3 12 7 6 7 a Write the claim mathematically and identify Ho and H Which of the following correctly states Ho and H OA Ho 11 0 H 11 0 OD Ho 2 11 0 H p 11 0 b Use technology to find the P value P Round to three decimal places as needed c Decide whether to reject or fail to reject the null hypothesis Which of the following is correct OB Ho 11 0 H us11 0 OE Ho p 11 0 H 211 0 OA Reject Ho because the P value is greater than the significance level OB Fail to reject Ho because the P value is less than the significance level OC Fall to reject Ho because the P value is greater than the significance level OD Reject Ho because the P value is less than the significance level d Interpret the decision in the context of the original claim O A At the 5 level of significance there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full time faculty is 11 0 OC At the 5 level of significance there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full time faculty is 11 0 7 7 11 3 OC Ho 11 0 H p 11 0 OF Ho H 11 0 H 11 0 13 2 8 4 O B At the 5 level of significance there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full time faculty is greater than 11 0 OD At the 5 level of significance there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full time faculty is less than 11 0

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