1. An advisor at the Duckworth College of Business states that from years of experience she is certain that the students enrolled in the College take at least 5 years to graduate with a BBA. The Dean of the College collects a sample of data from 80 random students. The mean time to graduate of this sample was found to be 4.85 years with a standard deviation of 1.68 years. At the .05 level of significance is there enough evidence from the sample to conclude that the advisor is wrong? Use the p value decision rule. Hint: if she is wrong then H1 says that µ is ____________.
1. An advisor at the Duckworth College of Business states that from years of experience she is certain that the students enrolled in the College take at least 5 years to graduate with a BBA. The Dean of the College collects a sample of data from 80 random students. The mean time to graduate of this sample was found to be 4.85 years with a standard deviation of 1.68 years. At the .05 level of significance is there enough evidence from the sample to conclude that the advisor is wrong? Use the p value decision rule. Hint: if she is wrong then H1 says that µ is ____________.
2. Suppose that the manager of a paint store wants to estimate the actual amount of paint contained in all 1- gallon cans of Acme Paint. She takes a random sample of 50 cans from the stockroom and finds the average amount of paint per can is .995 g with a S.D. of .02 g. Construct a 95%
3. The homebuilder’s association reports that 75% of home buyers would like a fireplace in their new home. A local builder finds that 20 out of 30 of his customers wanted a fireplace. Using the p value decision rule determine at the 5% level of significance is there is enough evidence from the sample to conclude that the homebuilders report is too high? Note: if P is too high in Ho…then what should it be in H1? Also construct a (1-α)% interval estimate for the true proportion P. Make sure to state the meaning of P first…and completely interpret the CI for P.
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