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5. A researcher wishes to test whether excercise level (0-none, 1-light, 2 -mode

ID: 3061151 • Letter: 5

Question

5. A researcher wishes to test whether excercise level (0-none, 1-light, 2 -moderate, 3- heavy) has an effect on systolic blood pressure. So the researcher collects some data and produces Minitab Output #1 which is given on page 9 of this test. Test the hypothesis that H0 : 140-43 vs HA : 1403 using = .05. (a) Reject H0 since 0 is in the interval from-18.18 to 3.52. (b) Reject Ho since the p-value is equal to.005, which is less than.05 (c) Do not reject Ho since 0 is in the interval from-18.18 to 3.52. (d) Reject Ho since 0 is not in the interval from -23.92 to -2.22. (e) Do not reject Ho since 0 is not in the interval from -23.92 to -2.22

Explanation / Answer

The correct option is (d) Reject H0 since 0 is not in the interval -23.92 to -2.22.

The 95% CI of difference in systolic BP for exercise 0 - exercise 3 based on the data is (-2.22, -23.92) which doesn't contain 0 implying that the difference is not significantly zero which is why zero is not present in the calculated CI and since the difference between exercise level 0 and exercise level 3 is not significantly zero we reject H0.

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