Question

The weights (in pounds) of 30 participants are recorded before and after a 6 week exercise program.

Before and After Weights Before and After Weights Before and After Weights After Before After Before After Before 240 245 184 185 207 210 276 287 135 134 176 174 201 200 155 157 148 150 184 186 242 245 130 124 308 310 247 255 220 165 167 150 148 280 287 185 190 165 170 168 175 215 220 210 215 170 173 270 275 300 309 255 264 225 230 234 250 247

A. Calculate the difference between the before weight and after weight of all 30 participants, where a negative value represents losing weight. Then, find the mean difference of weights. (Round your answer to the nearest hundredth)

B. Next, find the sample standard deviation for the difference of weights. (Round your answer to the nearest hundredth)

C. The goal is to find the 90% confidence interval for the difference in weight. Find the t-critical value. (Round your answer to the nearest thousandth)

t_.9 = ____

D. Find the error, E, for the 90% confidence interval. (Round your answer to the nearest hundredth)

E = ____

E. Find the 90% confidence interval for the difference in weights. (Round all answers to the nearest hundredth)

Answer 1

dli 3 냐 15D 6 (20 4280 1.75 ー168 チ3 | 。 3 8 81 c264 3 lo 41 50 11 185184 15王ㄧㄧㄧㄧ˙ -155 3 15...-ass-1-024 64 ー」6-148-1-150 | 170 | 165 05

81 80300 85 LY 186 | 18나 , 3,0 | 308 04 1665 05 0 190 183 8, 215 3 30 1x 953.1667 30 amd atan oc 3-1667

n- rn 30 30-1 T 616677 1.699 Com 3.1667+ 1.639 x e 1.699x . 3.8 3 3. 1663士 3.1667士6.5642 30

166+880 exao ~ 1.18 g E), 90 oi tenameen 9 twrght

Answer 2

1. -3.17 (find the difference, then find the mean of the differences, incorrect in the above answer)

2. 3.83 (find the sample standard deviation of the differences) (correct in the above answer)

3. t = 1.699 (correct in the above answer)

4. E = 1.19 (correct in the above answer)

5. -4.36 < d < -1.98 (incorrect in the above answer)

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