An exercise science major wants to try to use body weight topredict how much someone can bench press. He collects the datashown below on 30 male students. Both quantities are measured inpounds.
| Body Weight | Bench Press |
| 147 | 134 |
| 134 | 131 |
| 141 | 125 |
| 129 | 135 |
| 152 | 147 |
| 176 | 142 |
| 196 | 171 |
| 200 | 158 |
| 132 | 134 |
| 176 | 153 |
| 204 | 153 |
| 194 | 156 |
| 211 | 164 |
| 145 | 129 |
| 180 | 141 |
| 201 | 162 |
| 124 | 118 |
| 145 | 151 |
| 172 | 143 |
| 145 | 137 |
| 137 | 121 |
| 153 | 143 |
| 191 | 170 |
| 177 | 160 |
| 150 | 138 |
| 202 | 157 |
| 144 | 135 |
| 151 | 153 |
| 202 | 157 |
| 216 | 169 |
a) What type of association does there appear to be betweenthese two variables?
Solved Answer: positive association
b) Compute a 95% confidence interval for the average bench pressof 150 pound males. What is the lower limit? Give your answer totwo decimal places.
c) Compute a 95% confidence interval for the average bench pressof 150 pound males. What is the upper limit? Give your answer totwo decimal places.
d) Compute a 95% prediction interval for the bench press of a150 pound male. What is the lower limit? Give your answer to twodecimal places.
e) Compute a 95% prediction interval for the bench press of a150 pound male. What is the upper limit? Give your answer to twodecimal places.
Please provide formulas used for the confidence intervals andprediction intervals and standard error. Thank you!
