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)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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: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.)
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
2 of 3
4/20/21, 11:56 FM
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 2 of 3 4/20/21, 11:56 FM
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