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1. A woman in a nursing home is on medication for high blood pressure. Her blood pressure is taken daily. A sample of 20 blood pressure readings (mmHg) appears below.
150
148
136
120
142
144
130
140
138
166
152
a. Calculate the sample mean and standard deviation.
b. Determine a 95% confidence interval for µ, her mean systolic blood pressure. Show your calculations. How is this different than when we know the population standard deviation, sigma?
c. Is the underlying assumption that these data come from a normal distribution reasonably satisfied? Explain.
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