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 Statistics students is taken to learn whetherstudents have blood pressure that differs from the nationalaverage.
(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 ? = .05 forhypothesis testing.
(b) Construct a 95% confidence interval about the sample meanfor these data.
Sample Systolic Blood Pressure
| 143 | 176 | 131 | 95 | 139 |
| 145 | 169 | 139 | 181 | 161 |
| 151 | 195 | 132 | 175 | 143 |
