In a test of the effectiveness of garlic for lowering cholesterol, 43 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 3.3 and a standard deviation of 17.5. 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? Click here to view at 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 u? mg/dL <µ< mg/dL (Round to two decimal places as needed)
In a test of the effectiveness of garlic for lowering cholesterol, 43 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 3.3 and a standard deviation of 17.5. 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? Click here to view at 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 u? mg/dL <µ< mg/dL (Round to two decimal places as needed)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Transcribed Image Text:In a test of the effectiveness of garlic for lowering cholesterol, 43 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 3.3 and a standard deviation of 17.5. 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?
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.)
Transcribed Image Text:Critical t values
https://xlitemprod.pearsoom g.com/layer/Hayer.aspx ?oultureld=&the...
t Distribution: Critical t Values
Left tail
Area in One Tall
0.025
0.006
0.01
0.05
0.10
Degrees of
Area In Two Talls
Degrees or
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
6.905
4.303
2.920
1.886
2
3
5.841
4.541
3.182
2.353
1.638
3
4
4.604
3.747
2.776
2.132
1.533
4
4.032
3.365
2.571
2.015
1.476
5
3.707
3.143
2.447
1.943
1.440
6
3.499
2.998
2.365
1.895
1.415
8
3.355
2.896
2.306
1.860
1.397
8
Critical t value
9.
3.250
2.821
2.262
1.833
1.383
9
(negat ive)
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
2.050
2.160
1.771
1.350
13
2 145
1 761
14
2.977
2.077
2.624
2.145
1.761
1.345
14
Right tail
2 047
2 002
1 753
15
2.947
2.602
2.131
1.753
1.341
15
2 921
2 593
2.120
1.746
1 746
1.337
16
16
2.921
2.583
17
2.898
2.567
2.110
1.740
1.333
17
18
2.878
2.552
2.101
1.734
1.330
18
19
2.861
2.539
2.093
1.729
1.328
19
20
2.845
2.528
2.086
1.725
1.325
20
21
2.831
2.518
2.080
1.721
1.323
21
22
2.819
2.508
2.074
1.717
1.321
22
23
2.807
2.500
2.069
1.714
1.319
23
24
2.797
2.492
2.064
1.711
1.318
24
25
2.787
2.485
2.060
1.708
1.316
25
2.056
2 052
26
2.779
2.479
1.706
1.315
26
Critical tvalue
(positive)
2 771
2 473
2.771
2 763
27
2.473
2.052
1.708
1.314
27
2.763
1 701
1.701
28
2.467
2.048
1.212
1.313
28
2 756
2 482
1 699
1 311
29
2.756
2.462
2.045
1.699
1.311
29
2 750
2 457
2 042
1. 807
1 310
30
2.750
2.457
2.042
1.697
1.310
30
31
2.744
2.453
2.040
1.696
1.309
31
2.435
1.030
32
2.738
2.449
2.037
1.604
1.300
32
33
2.733
2.445
2.035
1.602
1.308
33
1.082
34
2.728
2.441
2.032
1.001
1.307
34
Two tails
35
2.724
2.438
2 439
2.030
1.000
1.306
35
36
2.719
2.434
2.028
1.688
1.306
36
37
2.715
2.431
2.026
1.687
1.305
37
38
2.712
2.429
2.024
1.686
1.304
38
39
2.708
2.426
2.023
1.685
1.304
39
40
2.704
2.423
2.021
1.684
1.303
40
45
2.690
2.412
2.014
1.679
1.301
45
50
2.678
2.403
2.009
1.676
1.299
50
2.660
2.390
2.000
1.6/1
1.296
60
70
2.648
2.381
1.994
1.867
1.294
70
80
2.639
2.374
1.990
1.064
1.292
80
90
2.632
2.368
1.987
1.862
1.291
90
Critical t value
(negative)
Critical tvalue
(positive)
100
2.626
2.364
1.984
1.060
1.290
100
200
2.601
2.345
1.972
1.653
1.286
200
300
2.592
2.339
1.968
1.050
1.284
300
400
2.588
2.336
1.966
1.649
1.284
400
500
2.586
2.334
1.965
1.648
1.283
500
1000
2.581
2.330
1.962
1.646
1.282
1000
2000
2.578
2.328
1.961
1.646
1.282
2000
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4/20/21, 11:56 FM
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