In a test of the effectiveness of garlic for lowering cholesterol, 44 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before - after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.4 and a standard deviation of 15.6. Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about

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In a test of the effectiveness of garlic for lowering cholesterol, 44 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured
before and after the treatment. The changes (before - after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.4 and a standard deviation of 15.6.
Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about
the effectiveness of garlic in reducing LDL cholesterol?
Transcribed Image Text:In a test of the effectiveness of garlic for lowering cholesterol, 44 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before - after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.4 and a standard deviation of 15.6. Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?
t Distribution: Critical t Values
Area in One Tail
0.005
0.01
0.025
0.05
0.10
Degrees of
Area in Two Tails
Degrees of
Freedom
0.01
0.02
0.05
0.10
0.20
Freedom
63.657
31.821
12.706
6.314
3.078
1
2
9.925
6.965
4.303
2.920
1.886
2
3
5.841
4.541
3.182
2.353
1.638
4
4.604
3.747
2.776
2.132
1.533
4
4.032
3.365
2.571
2.015
1.476
6
3.707
3.143
2.447
1.943
1.440
6
7
3.499
2.998
2.365
1.895
1.415
7
8.
3.355
2.896
2.306
1.860
1.397
3.250
2.821
2.262
1.833
1.383
10
3.169
2.764
2.228
1.812
1.372
10
11
3.106
2.718
2.201
1.796
1.363
11
12
3.055
2.681
2.179
1.782
1.356
12
13
3.012
2.650
2.160
1.771
1.350
13
14
2.977
2.624
2.145
1.761
1.345
14
Transcribed Image Text:t Distribution: Critical t Values Area in One Tail 0.005 0.01 0.025 0.05 0.10 Degrees of Area in Two Tails Degrees of Freedom 0.01 0.02 0.05 0.10 0.20 Freedom 63.657 31.821 12.706 6.314 3.078 1 2 9.925 6.965 4.303 2.920 1.886 2 3 5.841 4.541 3.182 2.353 1.638 4 4.604 3.747 2.776 2.132 1.533 4 4.032 3.365 2.571 2.015 1.476 6 3.707 3.143 2.447 1.943 1.440 6 7 3.499 2.998 2.365 1.895 1.415 7 8. 3.355 2.896 2.306 1.860 1.397 3.250 2.821 2.262 1.833 1.383 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2.145 1.761 1.345 14
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