In a test of the effectiveness of garlic for lowering cholesterol, 50 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 3.2 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 µ? mg/dL <μ

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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In a test of the effectiveness of garlic for lowering cholesterol, 50 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 3.2 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.
C
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?
O A. The confidence interval limits do not contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.
O B. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.
O C. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.
O D. The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.
Transcribed Image Text:In a test of the effectiveness of garlic for lowering cholesterol, 50 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 3.2 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. C 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? O A. The confidence interval limits do not contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels. O B. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels. O C. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels. O D. The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.
2
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.3
0.9
1.0
1.1
12
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
23
24
25
2.6
2.7
2.8
2.9
3.0
31
3.2
3.3
3.4
3.50 and up
2
00
5000
5398
5793
6179
6554
6815
7257
7580
7881
8159
8413
8643
8849
9002
9192
9332
9452
9641
9713
9772
9621
9661
9063
9918
9608
9065
9061
9667
9006
9000
Cumulative Area from the LEFT
.01
5040
5832
6217
.7291
7611
7910
8186
9049
9207
9345
9463
9564
9649
9719
9778
9826
9964
9920
9940
.9955
39906
9975
3982
9987
2221
9993
.02
5000
5478
5871
6255
6628
6985
7324
7642
7939
8212
3461
8686
1880
9004
9357
5474
9573
9656
9726
9783
9630
9668
5098
9622
9941
9967
9676
9001
0004
9006
POSITIVE z Scores
.00
01
NOTE: For of above 3.49, use 0.9999 for the area
03
5120
5617
5910
7019
7357
7673
7967
8485
8708
20
9062
9370
9434
9664
9732
9788
9834
9901
9925
9943
9957
9960
9977
2991
9994
9997
03
04
5100
5557
5948
6331
6700
7054
.7389
7704
7995
8264
8508
8729
8025
8382
5495.
9091
9671
9738
9793
9438
3875
9904
9927
9945
9959
9909
3984
9988
9002
9667
04
05
5199
6368
6736
7068
7734
18023
8749
9115
9394
9505
9678
3744
9796
9929
9946
9970
9978
9989
9002
9994
9997
05
06
5239
6025
6406
6772
7123
.7454
7764
3051
8315
3554
8770
2012
9131
3279
9406
9515
9909
9931
9948
9971
9979
9989
3902
1996
9686 9693
3750
9756
9803
9608
9846
3881
8
07
5279
5675
.06
6443
6806
7157
3486
7794
B078
8340
8537
8790
9147
9418
9625
9884
9911
9949
9962
9972
9979
9985
9996
07
08
5319
5714
8103
6480
7190
7517
7823
4106
8365
8810
2017
9142
9429
9535
9625
6696
9812
3887
9913
9934
9951
39973
9980
3935
9990
3903
9995
9996
08
09
5359
5753
6141
6617
6879
7224
3549
7852
8133
8389
8621
8830
9015
9177
5019
9441
9645
9706
STET
1617
9800
9916
9006
9662
9064
9961
9998
09
Common Critical Values
2
0.0
0.1
0.2
04
0.5
06
07
08
0.9
1.0
1.1
1.2
1.4
1.5
1.6
17
1.8
1.9
20
21
22
2.3
24
25
26
27
2.8
29
3.0
3.1
32
33
3.4
3.50 and up
2
Transcribed Image Text:2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.3 0.9 1.0 1.1 12 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 23 24 25 2.6 2.7 2.8 2.9 3.0 31 3.2 3.3 3.4 3.50 and up 2 00 5000 5398 5793 6179 6554 6815 7257 7580 7881 8159 8413 8643 8849 9002 9192 9332 9452 9641 9713 9772 9621 9661 9063 9918 9608 9065 9061 9667 9006 9000 Cumulative Area from the LEFT .01 5040 5832 6217 .7291 7611 7910 8186 9049 9207 9345 9463 9564 9649 9719 9778 9826 9964 9920 9940 .9955 39906 9975 3982 9987 2221 9993 .02 5000 5478 5871 6255 6628 6985 7324 7642 7939 8212 3461 8686 1880 9004 9357 5474 9573 9656 9726 9783 9630 9668 5098 9622 9941 9967 9676 9001 0004 9006 POSITIVE z Scores .00 01 NOTE: For of above 3.49, use 0.9999 for the area 03 5120 5617 5910 7019 7357 7673 7967 8485 8708 20 9062 9370 9434 9664 9732 9788 9834 9901 9925 9943 9957 9960 9977 2991 9994 9997 03 04 5100 5557 5948 6331 6700 7054 .7389 7704 7995 8264 8508 8729 8025 8382 5495. 9091 9671 9738 9793 9438 3875 9904 9927 9945 9959 9909 3984 9988 9002 9667 04 05 5199 6368 6736 7068 7734 18023 8749 9115 9394 9505 9678 3744 9796 9929 9946 9970 9978 9989 9002 9994 9997 05 06 5239 6025 6406 6772 7123 .7454 7764 3051 8315 3554 8770 2012 9131 3279 9406 9515 9909 9931 9948 9971 9979 9989 3902 1996 9686 9693 3750 9756 9803 9608 9846 3881 8 07 5279 5675 .06 6443 6806 7157 3486 7794 B078 8340 8537 8790 9147 9418 9625 9884 9911 9949 9962 9972 9979 9985 9996 07 08 5319 5714 8103 6480 7190 7517 7823 4106 8365 8810 2017 9142 9429 9535 9625 6696 9812 3887 9913 9934 9951 39973 9980 3935 9990 3903 9995 9996 08 09 5359 5753 6141 6617 6879 7224 3549 7852 8133 8389 8621 8830 9015 9177 5019 9441 9645 9706 STET 1617 9800 9916 9006 9662 9064 9961 9998 09 Common Critical Values 2 0.0 0.1 0.2 04 0.5 06 07 08 0.9 1.0 1.1 1.2 1.4 1.5 1.6 17 1.8 1.9 20 21 22 2.3 24 25 26 27 2.8 29 3.0 3.1 32 33 3.4 3.50 and up 2
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