The weights (in pounds) of 30 participants are recorded before and after a 6 week exercise program. The mean is -3.17 and the standard deviation is 3.83.  Before After 210 207 174 176 150 148 124 130 222 220 287 280 175 168 173 170 264 255 247 250 Before and After Weights Before After 185 184 134 135 157 155 245 242 255 247 148 150 170 165 215 210 309 300 234 230 Before After 245 240 287 276 200 201 186 184 310 308 167 165 190 185 220 215 275 270 225 222 (a) 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) (b)Find the error, E, for the 90% confidence interval. (Round your answer to the nearest hundredth) (c)Find the 90% confidence interval for the difference in weights. (Round all answers to the nearest hundredth) (i.e. _____

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The weights (in pounds) of 30 participants are recorded before and after a 6 week exercise program. The mean is -3.17 and the standard deviation is 3.83. 

Before After
210 207
174 176
150 148
124 130
222 220
287 280
175 168
173 170
264 255
247 250

Before and After Weights

Before After
185 184
134 135
157 155
245 242
255 247
148 150
170 165
215 210
309 300
234 230
Before After
245 240
287 276
200 201
186 184
310 308
167 165
190 185
220 215
275 270
225 222

(a) 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)

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

(c)Find the 90% confidence interval for the difference in weights. (Round all answers to the nearest hundredth) (i.e. _____<d<_______)

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