Question: We are interested in knowing if Epidemiology graduate students ages 20-35 currently enrolled in a statistics course have increased systolic blood pressure compared to Epidemiology graduate students ages 20-35 not enrolled in a statistics course. We randomly sample 45 epidemiology graduate students currently enrolled in a statistics course and obtain a sample mean for systolic blood pressure of 130 mm/hg and sample standard deviation of 15 mm/hg. We additionally sample 36 Epidemiology graduate students not taking a statistics course and obtain a sample mean for systolic blood pressure of 120 mm/hg and a sample standard deviation of 20 mg/hg. We test for the significance of the findings at a 0.05 level of significance. Assume the true variances are equal in both populations.

o State the null and alternate hypotheses

o Compute the appropriate test statistic

o State your conclusion

o Compute the upper and lower 95% confidence bounds for the mean SBP of epidemiology grad students taking statistics.

o Compute the sample size that would be needed to detect a difference of 5 mm/hg with a two-tailed test at the 0.05 level and 90% power

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