Jamal suspects that his diastolic blood pressure is higher when he is at work than his diastolic blood pressure when he is not at work. He is going to test this statement based on blood pressure readings at randomly selected times in the above two situations.
Here are the data (units in mmHg)
at work 84 84 86 86 87 87 87 88 90 97 99 not at work 77 78 79 79 80 83 84 85 85 89
a) Why should we not use the two sample t-test in this case?
b) Use the Wilcoxon Rank Sum test with normal approximation to test if the BP readings at work are higher than the readings when not at work. Write the P_value and your conclusion at 5% level of significance
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