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Hypothesis Testing for Job Stress Claims

A local newspaper alleges that workers at my brother's café have an extremely stressful job. Stresses come from a combination of physical and social sources such as incessant time pressure, unruly customers like Indiana Jones, and bad salads.

It gets so bad that Médecins Sans Frontières decides to step in and investigate as a human rights violation issue. A volunteer randomly selects 41 workers out of the brigade of workers there, and takes the diastolic blood pressure, in millimeters of mercury (mm Hg), of these 41 workers. The results are shown in the following table.

95 58 99 81 85 81 84
77 79 100 83 89 73 79
80 70 90 74 79 76 65
91 88 83 90 93 69 89
95 80 70 66 90 94 93
77 81 75 95 73 63

At the 10% significance level, do the data provide sufficient evidence to conclude that the mean diastolic blood pressure of my brother's employees exceeds the normal diastolic blood pressure of 80 mm Hg?
As a consequence of this investigation, should my brother be hauled to The Hague to stand trial?
Yes, I will have all the free food when he is gone.......
The sample mean and sample standard deviation of the given data, 81.76 mm Hg and 10.32 mm Hg, respectively.

Solution Preview

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A local newspaper alleges that workers at my brother's café have an extremely stressful job. Stresses come from a combination of physical and social sources such as incessant time pressure, unruly customers like Indiana Jones, and bad salads.

It gets so bad that Médecins Sans Frontières decides to step in and investigate as a human rights violation issue. A volunteer randomly selects 41 workers out of the brigade of workers there, and takes the diastolic blood pressure, in millimeters of mercury (mm Hg), of these 41 workers. The results are shown in the following table.

95 58 99 81 85 81 84 77 79 100 83 89 73 79 80 70 90 74 ...

Solution Summary

Diastolic blood pressure is analyzed by using hypothesis testing. 1% significance level is used.

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