A physical education director claims by taking a special vitamin, a weight lifter can increase his strength. Ten athletes are selected and given a test of strength, using the standard bench press. After 2 weeks of regular training, supplemented with the vitamin, they are tested again. Test the effectiveness of the vitamin regimen at a = 0.05. Each value in these data represents the maximum number of pounds the athlete can bench-press. Assume that the variable is approximately normally distributed.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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A physical education director claims by taking a special vitamin, a weight lifter can increase his
strength. Ten athletes are selected and given a test of strength, using the standard bench press.
After 2 weeks of regular training, supplemented with the vitamin, they are tested again. Test
the effectiveness of the vitamin regimen at a = 0.05. Each value in these data represents the
maximum number of pounds the athlete can bench-press. Assume that the variable is
approximately normally distributed.
Athlete
1
2
4
5
6
7
8
10
Before (X1)
216
219
253
262
205
182
230
210
195
200
After (X2)
216
222
250
270
204
179
236
219
190
205
Transcribed Image Text:A physical education director claims by taking a special vitamin, a weight lifter can increase his strength. Ten athletes are selected and given a test of strength, using the standard bench press. After 2 weeks of regular training, supplemented with the vitamin, they are tested again. Test the effectiveness of the vitamin regimen at a = 0.05. Each value in these data represents the maximum number of pounds the athlete can bench-press. Assume that the variable is approximately normally distributed. Athlete 1 2 4 5 6 7 8 10 Before (X1) 216 219 253 262 205 182 230 210 195 200 After (X2) 216 222 250 270 204 179 236 219 190 205
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