MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:8
Critical t values
a
Left tail
Critical t value
(negative)
Right tail
Degrees of
Freedom
1
2
3
4
5
6
7
8
20
9
.
10
11
12
13
14
15
16
17
t Distribution: Critical t Values
0.005
0.01
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3:200
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
0.01
0.02
31.821
6.965
4.541
3.747
3.365
3.143
2.998
2:350
2:090
2.896
2.821
LIVE!
2.764
2.704
2.718
2.110
2.681
2.650
2.624
2.602
2.583
2.567
Area in One Tail
0.025
Area in Two Tails
0.05
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.309
2.306
2.262
2.228
2.201
2.179
2.119
2.160
2.145
2.131
2.120
2.110
0.05
0.10
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.782
1.771
1.761
1.753
1.746
1.740
CAL
0.10
0.20
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.350
1.345
1.341
1.337
1.333
Degrees of
Freedom
1
2
14
15
16
17
10
11
12
13
-
5
6
7
7
.
8
3
4
9
- X
the treatment. The
an net change in
Question Viewer
Transcribed Image Text:In a test of the effectiveness of garlic for lowering cholesterol, 47 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 3.7 and a standard deviation of 18.8. Construct a 99% 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?
Click here to view a t distribution table.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean μ?
mg/dL. <μ< mg/dL
(Round to two decimal places as needed.).
What does the confidence interval suggest about the effectiveness of the treatment?
...
OA. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.
OB. The confidence interval limits do not contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.
OC. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.
OD. The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.
Expert Solution
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Step 1
Given:
Sample size n = 47
Sample mean = 3.7
Standard deviation sd = 18.8
Confidence level = 99%
Formula Used:
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