Please note that this question consists of seven parts. Use the MINITAB outputs provided to you to answer the question. Show all your work/explanation. Just giving the answer without adequate explanation work may result in zero for the question.
A company that manufactures a homeopathic drug claims that it can reduce the time takes to overcome jet lag from long distance flights. A researcher is interested in testing this claim.
He takes a random sample of 50 passengers making a trip from Las Vegas to Melbourne, Australia. He randomly assigns half of his sample to take the placebo and the remaining half to take the actual drug.
Then he collected the data on the number of days it took for them to recover from the jet lag from the trip.
Part of the data with some summary statistics is displayed below. Please note that some information may or may not be relevant.
Placebo | Drug | Diff | |
4 | 5 | -1 | |
7 | 3 | 4 | |
6 | 8 | -2 | |
. | . | . | |
. | . | . | |
9 | 7 | 2 | |
4 | 1 | 3 | |
Mean | 5.52 | 4.36 | 1.16 |
SD | 1.917 | 1.823 | 2.511 |
- Are the two samples: Placebo and Drug, independent or dependent? Explain your answer
- From the provided plots: (A), (B) and (C), clearly state which plot/plots you would use to check any assumptions.
- Do you see any serious violations of those assumptions? Explain your answer without simply saying yes or no.
- Researcher is interested in testing the claim made by the company manufacturing the drug. To answer this question, which output: output 1 or output 2 would you use?
Output 1 Output 2 - Explain the reason for your choice of output in part 4.
- What is the p value for the test ? Write the probability statement for the p value for this test, and copy the numerical value of the p value from your choice of output.
- Using the p value you derived in part 6, what would be your conclusion to the researchers question at 5% significance level (write the conclusion in the context of the problem).
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