10. According to the National Health and Nutrition ExaminationSurvey and the Epidemiologic Follow-up Study the mean systolicblood pressure for individuals aged 25 to 59 is 127.3 with astandard deviation of 20.2. A sample measurement of systolic bloodpressure from 15 EDUR 8131 Statistics students is taken to learnwhether EDUR 8131 students have blood pressure that differs fromthe national average.
(a) Perform a one sample Z test on these data to learn whether adifference in blood pressure exists:
• present calculated Z test value, and
• write a brief conclusion about your finding. Use α = .05 forhypothesis testing.
(b) Construct a 95% confidence interval about the sample meanfor these data. Sample Systolic Blood Pressure: 143 176 131 95 139145 169 139 181 161 151 195 132 175 143