Question 19 The dean of a University estimates that the mean number of classroom

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Question 19 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 for a number of classroom hours for eight full time faculty for one week provided a mean of 10.05 hours and a standard deviation of 2.485 hours. Test the claim that the number of faculty classroom hours per week is equal to 11 at an alpha level of .01. Choose the best possible answer

a. Accept the claim since t calculated of -1.081 is between the critical t values of -1.895 and 1.895

b. Accept the claim since t calculated of -1.081 is between the critical t values of -3.499 and 3.499

c. Reject the claim since t calculated of -1.081 is less the critical t values of -0.896

d. Reject the claim since t calculated of -1.081 does not fall between the critical t values

e. None of the above

Question 20 A microwave oven repairer says that the mean repair cost for damaged microwave ovens is less than $100. You work for the repairer and want to test the claim. You find that a random sample of 5 microwave ovens has a mean repair cost of $75 and a standard deviation of $12.50. You want to test the claim at a alpha level of .01. Choose the result that provides the result of this claim

a. Accept Ho (the claim that repair cost is less than or equal to $100), since t calculated of 4.472 is greater than critical t of 3.747

b. Reject Ho (the claim that repair cost is less than or equal to $100) since t calculated of -4.472 is less than a critical t value of -3.747

c. Accept Ho (the claim that repair cost is less than or equal to $100) since t calculated of -4.472 is less than a critical t value of 3.747

d. Reject Ho (the claim that repair cost is less than or equal to $100) since t calculated of 2.132 is less than a critical t of 3.747

Explanation / Answer

19 ans )

the claim is mu = 11.0

The claim is the null hypothesis. The alternate hypothesis is mu =/= 11.0, so we have a two tailed test. x

x^=

Now compute the test statistic:

t = (xbar - mu)/(s/sqrt(n))

   = ( 10- 11 ) ( 2.485 / sqrt(11))

=-1.081

c. Reject the claim since t calculated of -1.081 is less the critical t values of -0.896

20 answer)   Reject Ho (the claim that repair cost is less than or equal to $100) since t calculated of -4.472 is less than a critical t value of -3.747

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