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10. According to the National Health and Nutrition Examination Survey and the Epidemiologic Follow-up Study the...

10. According to the National Health and Nutrition Examination Survey and the Epidemiologic Follow-up Study the mean systolic blood pressure for individuals aged 25 to 59 is 127.3 with a standard deviation of 20.2. A sample measurement of systolic blood pressure from 15 Statistics students is taken to learn whether students have blood pressure that differs from the national average.

(a) Perform a one sample Z test on these data to learn whether a difference in blood pressure exists:

• present calculated Z test value, and

• write a brief conclusion about your finding. Use α = .05 for hypothesis testing.

(b) Construct a 95% confidence interval about the sample mean for these data.

Sample Systolic Blood Pressure

143 176 131 95 139
145 169 139 181 161
151 195 132 175 143

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