In a test of the effectiveness of garlic for lowering cholesterol, 49 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 5.5 and a standard deviation of 177. 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 mg/dL

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Critical t values
Cumulative area to the left of negative z scores
Cumulative area to the left of positive z scores
NEGATIVE z Scores
POSITIVE z Scores
/Distribution: Crilical /Values
Left tal
Ars in n Tai
Dagr of
Fren
Ae in Te TadN
0.
010
20
1.421
12.700
Standard Normal (z) Distribution: Cumulative Area from the LEFT
Cumulative Area from the LEFT
41
4.541
DO
01
02
03
04
05
06
07
00
01
02
03
04
05
06
07
09
4.804
1.747
2.774
0.0
5000
8040
5080
5120
5160
3109
6230
8279
6319
5350
-3.50 nd
kower
4.432
1345
14%
-3.50 and
0.0
140
0001
lower
0.1
5438
.5478
國17
5457
5630
5675
5714
8753
0.1
140
LA0
105
-3.4
0003
0003
0003
0003
0003
0003
0003
0003
0003
0002
-3.4
5832
3048
SO87
6020
0.2
5871
5910
BO04
8103
6141
0.2
-33
0005
DO05
0005
0004
0004
0004
.0004
0004
0004
D003
-3.3
0.3
8217
8255
6293
6364
6400
局17
A250
6179
331
8400
8443
0.1
Critical I valu
negativel
10
128
-32
.0007
0007
0006
0006
DO06
0006
J0006
0005
0005
D005
-3.2
0.4
8554
6591
0620
6604
6700
6730
0772
6808
.6844
6879
0.4
1718
-3.1
0010
0009
0009
0009
0008
0008
0008
0008
0007
D007
-3.1
0.5
6915
6950
0985
7019
7054
7088
7123
7157
7100
7224
0.5
12
-3.0
0013
D013
0013
0012
0012
J0011
0011
0011
D010
0010
-3.0
0.8
7257
7291
7324
7357
,7422
7454
7480
7517
7549
0.6
2012
14
45
-20
0019
DO18
0018
D017
0016
0016
.0015
0015
D014
D014
-2.9
0.7
7580
7611
J642
7673
7704
7734
7764
7704
7823
7852
0.7
2347
-28
0026
D025
0024
0023
0023
0022
o021
0021
0020
-2.8
PO3D
7967
8023
B078
Right tal
0019
0.8
7881
7910
7905
8051
8106
8133
0.8
18
2.421
-27
0035
0034
0013
0032
0030
0029
0028
0027
0026
-2.7
0.0
81 50
4186
8212
8238
8204
4280
8315
8340
8365
389
0.0
1141
-2.6
0047
0045
0044
0043
0041
0040
0039
0038
0037
0036
-2.6
1.0
413
1430
8461
8485
OSOB
8531
8554
A577
8500
21
1.0
18
-25
0062
DO60
0059
0057
0055
0054
.0052
0051
0049
0048
-2.5
1.1
B65
nea6
1708
8729
A749
1770
8790
BS10
B830
1.1
-2.4
0082
DOBO
0078
D075
0073
0071
0069
0068
0066
DO64
=24
12
M40
907
0925
044
8962
8907
D015
1.2
21
27
-23
0107
0104
0102
D099
0096
JO094
O089
DO84
508
1.00
0091
0087
-23
13
8032
9049
BO06
D082
DO09
9115
0131
9147
0162
0177
1.3
22
0139
0136
0132
0129
L0125
0122
0116
0113
D110
-22
1.4
9102
9207
0222
0236
1251
9265
0270
0292
0306
0319
1.4
24
1.707
-21
0179
0174
0170
0106
0162
0158
0154
0150
0146
0143
-2.1
1.5
0032
9345
0357
0370
T04
9400
0410
0420
0441
1.5
2770
-20
0228
0222
0217
0212
0207
0202
0197
0192
0188
0183
-2.0
1.8
0452
9463
D474
0484
0405
9605
0515
0525
0535
0545
1.0
271
1471
-1.0
0287
0281
0274
0268
0262
0256
0250
0244
0230
0233
L7
54
0664
D573
0501
9600
D610
9625
0033
1.7
Cntical f value
(positive)
-1.0
0359
0351
0344
0336
0329
0322
0014
0307
0301
0294
1.8
41
0640
0604
D071
SM178
0680
0509
0706
1.8
1049
2.750
200
-1.7
0446
0436
0427
0418
0409
0401
J0392
0384
0375
0367
-1.7
1.9
9713
9719
0726
0732
0738
9744
9750
0758
0701
0767
1.9
P040
=16
0548
0537
0526
0516
0505
0495
0485
0475
0465
0455
-16
2.0
9772
0770
0783
0788
0703
9708
9003
0800
0812
017
2.0
2.449
-1.5
0668
0655
D643
0630
0618
0606
JOS04
OS82
0571
0559
-1.5
2.1
9821
9820
0834
9838
9042
9040
0650
0854
0057
2.1
2733
1446
14
-1.4
OBO
0793
D778
0764
0749
0735
0721
0708
0694
D681
22
9861
9864
OB60
0871
0875
G178
981
0884
0807
22
724
-1.3
0968
0951
0934
0918
0901
O853
0823
-13
2.3
9803
9090
0890
D901
904
9008
000
001
0913
0016
2.3
2.719
Two tails
-1.2
1151
1131
1112
1093
1075
1056
1038
1020
1003
0985
-12
2.4
18
9020
0022
0925
0327
9031
0932
0934
0936
24
2401
1712
-11
1357
1335
1314
1292
1271
1251
1230
1210
1190
1170
-1.1
2.5
9940
0941
9943
9945
0046
9943
9940
0961
3952
25
-10
1587
1562
1539
1515
1492
1469
1446
1423
1401
1379
-1.0
2.6
9953
9055
9956
0957
0969
0000
9061
9962
0963
0964
2.0
704
1841
1814
1788
1762
1736
1711
1685
1660
1635
1611
-0.9
2.7
9965
9088
9967
0968
9909
070
9971
0972
0973
9974
2.7
2.000
2412
2.678
2119
2090
2061
2033
2005
1977
1949
1922
1894
1867
-0.8
2.8
9974
9075
0976
0977
0977
9978
0970
9980
2.8
2000
-0.7
2420
2389
2358
2327
2296
2266
2236
2206
2177
2148
-0.7
2.9
81
9082
9982
9983
984
0964
9085
0985
D906
986
20
2641
0/2
a/2
2743
2709
2676
2643
2611
2578
2546
2514
2483
2451
-0.6
3.0
9087
0987
0988
9080
.0900
3.0
2074
-0.5
3065
3050
3015
2981
2946
2912
2877
2843
2810
2776
-0.5
11
9990
9991
0991
0991
9902
092
9092
9992
9993
D993
11
100
2.364
-0.4
3446
3409
3372
3336
3300
3264
3228
3192
3156
3121
-0.4
3.2
9903
9993
9994
9994
9994
0994
9094
0995
.9995
.0905
3.2
00
2501
2.343
-0.3
3821
3783
3745
3707
3669
3632
3594
3557
3520
3483
-03
33
9995
9995
9995
9996
0906
9996
9096
0996
0990
.0997
33
Critical t valu
inegative)
Critical I value
positive)
00
2.50
2.30
-02
4207
4168
4129
4090
4052
A013
3974
3836
3897
3859
-0.2
3.4
9997
9997
9997
S9997
0907
997
9097
9997
9997
9998
14
2500
2334
-01
4602
4562
4522
4483
4443
4404
4364
4325
4286
4247
-0.1
3.50 and up
9999
3.50 and up
200
2.328
2.001
-0.0
5000
4960
4920
4880
4840
4801
4761
4721
4681
A641
-00
00
01
02
03
04
DS
06
07
00
09
2678
Lange
257
2.320
00
01
02
.00
04
05
06
07
08
.09
NOTE For values of z above 3.49, I 0.9999 for the arna.
Common Critical Values
Ara in O Tail
NOTE: For values of z below -3.49, use 0.0001 or the area
Confidence
Lavel
0.01
Critical
Aa in Two Taiu
Degre of
Frendam
Value
0.01
002
110
"Use these comman values that result from interpolation
"Use these comman values that reult from interpolation.
0.00
1.645
z Score
Area
2 Score
Area
0.95
1.96
-1.645
0.0500
1.645
0.9500
0.99
2.575
2.575
0.9950
-2.575
0.0050
Transcribed Image Text:Critical t values Cumulative area to the left of negative z scores Cumulative area to the left of positive z scores NEGATIVE z Scores POSITIVE z Scores /Distribution: Crilical /Values Left tal Ars in n Tai Dagr of Fren Ae in Te TadN 0. 010 20 1.421 12.700 Standard Normal (z) Distribution: Cumulative Area from the LEFT Cumulative Area from the LEFT 41 4.541 DO 01 02 03 04 05 06 07 00 01 02 03 04 05 06 07 09 4.804 1.747 2.774 0.0 5000 8040 5080 5120 5160 3109 6230 8279 6319 5350 -3.50 nd kower 4.432 1345 14% -3.50 and 0.0 140 0001 lower 0.1 5438 .5478 國17 5457 5630 5675 5714 8753 0.1 140 LA0 105 -3.4 0003 0003 0003 0003 0003 0003 0003 0003 0003 0002 -3.4 5832 3048 SO87 6020 0.2 5871 5910 BO04 8103 6141 0.2 -33 0005 DO05 0005 0004 0004 0004 .0004 0004 0004 D003 -3.3 0.3 8217 8255 6293 6364 6400 局17 A250 6179 331 8400 8443 0.1 Critical I valu negativel 10 128 -32 .0007 0007 0006 0006 DO06 0006 J0006 0005 0005 D005 -3.2 0.4 8554 6591 0620 6604 6700 6730 0772 6808 .6844 6879 0.4 1718 -3.1 0010 0009 0009 0009 0008 0008 0008 0008 0007 D007 -3.1 0.5 6915 6950 0985 7019 7054 7088 7123 7157 7100 7224 0.5 12 -3.0 0013 D013 0013 0012 0012 J0011 0011 0011 D010 0010 -3.0 0.8 7257 7291 7324 7357 ,7422 7454 7480 7517 7549 0.6 2012 14 45 -20 0019 DO18 0018 D017 0016 0016 .0015 0015 D014 D014 -2.9 0.7 7580 7611 J642 7673 7704 7734 7764 7704 7823 7852 0.7 2347 -28 0026 D025 0024 0023 0023 0022 o021 0021 0020 -2.8 PO3D 7967 8023 B078 Right tal 0019 0.8 7881 7910 7905 8051 8106 8133 0.8 18 2.421 -27 0035 0034 0013 0032 0030 0029 0028 0027 0026 -2.7 0.0 81 50 4186 8212 8238 8204 4280 8315 8340 8365 389 0.0 1141 -2.6 0047 0045 0044 0043 0041 0040 0039 0038 0037 0036 -2.6 1.0 413 1430 8461 8485 OSOB 8531 8554 A577 8500 21 1.0 18 -25 0062 DO60 0059 0057 0055 0054 .0052 0051 0049 0048 -2.5 1.1 B65 nea6 1708 8729 A749 1770 8790 BS10 B830 1.1 -2.4 0082 DOBO 0078 D075 0073 0071 0069 0068 0066 DO64 =24 12 M40 907 0925 044 8962 8907 D015 1.2 21 27 -23 0107 0104 0102 D099 0096 JO094 O089 DO84 508 1.00 0091 0087 -23 13 8032 9049 BO06 D082 DO09 9115 0131 9147 0162 0177 1.3 22 0139 0136 0132 0129 L0125 0122 0116 0113 D110 -22 1.4 9102 9207 0222 0236 1251 9265 0270 0292 0306 0319 1.4 24 1.707 -21 0179 0174 0170 0106 0162 0158 0154 0150 0146 0143 -2.1 1.5 0032 9345 0357 0370 T04 9400 0410 0420 0441 1.5 2770 -20 0228 0222 0217 0212 0207 0202 0197 0192 0188 0183 -2.0 1.8 0452 9463 D474 0484 0405 9605 0515 0525 0535 0545 1.0 271 1471 -1.0 0287 0281 0274 0268 0262 0256 0250 0244 0230 0233 L7 54 0664 D573 0501 9600 D610 9625 0033 1.7 Cntical f value (positive) -1.0 0359 0351 0344 0336 0329 0322 0014 0307 0301 0294 1.8 41 0640 0604 D071 SM178 0680 0509 0706 1.8 1049 2.750 200 -1.7 0446 0436 0427 0418 0409 0401 J0392 0384 0375 0367 -1.7 1.9 9713 9719 0726 0732 0738 9744 9750 0758 0701 0767 1.9 P040 =16 0548 0537 0526 0516 0505 0495 0485 0475 0465 0455 -16 2.0 9772 0770 0783 0788 0703 9708 9003 0800 0812 017 2.0 2.449 -1.5 0668 0655 D643 0630 0618 0606 JOS04 OS82 0571 0559 -1.5 2.1 9821 9820 0834 9838 9042 9040 0650 0854 0057 2.1 2733 1446 14 -1.4 OBO 0793 D778 0764 0749 0735 0721 0708 0694 D681 22 9861 9864 OB60 0871 0875 G178 981 0884 0807 22 724 -1.3 0968 0951 0934 0918 0901 O853 0823 -13 2.3 9803 9090 0890 D901 904 9008 000 001 0913 0016 2.3 2.719 Two tails -1.2 1151 1131 1112 1093 1075 1056 1038 1020 1003 0985 -12 2.4 18 9020 0022 0925 0327 9031 0932 0934 0936 24 2401 1712 -11 1357 1335 1314 1292 1271 1251 1230 1210 1190 1170 -1.1 2.5 9940 0941 9943 9945 0046 9943 9940 0961 3952 25 -10 1587 1562 1539 1515 1492 1469 1446 1423 1401 1379 -1.0 2.6 9953 9055 9956 0957 0969 0000 9061 9962 0963 0964 2.0 704 1841 1814 1788 1762 1736 1711 1685 1660 1635 1611 -0.9 2.7 9965 9088 9967 0968 9909 070 9971 0972 0973 9974 2.7 2.000 2412 2.678 2119 2090 2061 2033 2005 1977 1949 1922 1894 1867 -0.8 2.8 9974 9075 0976 0977 0977 9978 0970 9980 2.8 2000 -0.7 2420 2389 2358 2327 2296 2266 2236 2206 2177 2148 -0.7 2.9 81 9082 9982 9983 984 0964 9085 0985 D906 986 20 2641 0/2 a/2 2743 2709 2676 2643 2611 2578 2546 2514 2483 2451 -0.6 3.0 9087 0987 0988 9080 .0900 3.0 2074 -0.5 3065 3050 3015 2981 2946 2912 2877 2843 2810 2776 -0.5 11 9990 9991 0991 0991 9902 092 9092 9992 9993 D993 11 100 2.364 -0.4 3446 3409 3372 3336 3300 3264 3228 3192 3156 3121 -0.4 3.2 9903 9993 9994 9994 9994 0994 9094 0995 .9995 .0905 3.2 00 2501 2.343 -0.3 3821 3783 3745 3707 3669 3632 3594 3557 3520 3483 -03 33 9995 9995 9995 9996 0906 9996 9096 0996 0990 .0997 33 Critical t valu inegative) Critical I value positive) 00 2.50 2.30 -02 4207 4168 4129 4090 4052 A013 3974 3836 3897 3859 -0.2 3.4 9997 9997 9997 S9997 0907 997 9097 9997 9997 9998 14 2500 2334 -01 4602 4562 4522 4483 4443 4404 4364 4325 4286 4247 -0.1 3.50 and up 9999 3.50 and up 200 2.328 2.001 -0.0 5000 4960 4920 4880 4840 4801 4761 4721 4681 A641 -00 00 01 02 03 04 DS 06 07 00 09 2678 Lange 257 2.320 00 01 02 .00 04 05 06 07 08 .09 NOTE For values of z above 3.49, I 0.9999 for the arna. Common Critical Values Ara in O Tail NOTE: For values of z below -3.49, use 0.0001 or the area Confidence Lavel 0.01 Critical Aa in Two Taiu Degre of Frendam Value 0.01 002 110 "Use these comman values that result from interpolation "Use these comman values that reult from interpolation. 0.00 1.645 z Score Area 2 Score Area 0.95 1.96 -1.645 0.0500 1.645 0.9500 0.99 2.575 2.575 0.9950 -2.575 0.0050
Ina test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with garlic in a processed tablet form. Cholesterol levels
vere measured before and after the treatment. The changes (before- after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.5 and
s sandard deviation of 17.7.Construct a 95% confidence interval estimate of the mean net change in LDLcholesterol 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 vew page.1.of the standand 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?
(Round to two decimal places as needed.)
What does the confidence interval suggest about the effectiveness of the treatment?
OA The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.
OB. The confidence intervallimits 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.
D. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.
Transcribed Image Text:Ina test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with garlic in a processed tablet form. Cholesterol levels vere measured before and after the treatment. The changes (before- after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.5 and s sandard deviation of 17.7.Construct a 95% confidence interval estimate of the mean net change in LDLcholesterol 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 vew page.1.of the standand 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? (Round to two decimal places as needed.) What does the confidence interval suggest about the effectiveness of the treatment? OA The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels. OB. The confidence intervallimits 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. D. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.
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