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
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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Question
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd31814c-b74b-4f1d-846f-9635baf02446%2Fd7231a0e-a382-4db1-bbe5-09580ee7557b%2Fznbkv_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd31814c-b74b-4f1d-846f-9635baf02446%2Fd7231a0e-a382-4db1-bbe5-09580ee7557b%2F8z8vyp_processed.png&w=3840&q=75)
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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