For a random sample of size n =100 from a normally distributed population has a sample 1. mean of = 20.85 and a sample standard deviation ofs = 13.41. Find a: %3D a) 95% confidence interval for the population mean u Table II Normal Curve Areas .03 .02 .04 .05 .00 .01 .06 .07 .09 .08 Z 0160 0557 .0948 1331 .1700 2054 0080 0478 .0871 .0120 0s17 0910 .0199 0596 0987 .1368 .1736 2088 0000 0398 0793 0239 .0636 .1026 .0040 0438 0832 .0279 67వ .1064 0319 .0714 .1103 .1480 .1844 2190 0359 0753 .1141 .1406 .1772 2123 1293 1664 2019 .1443 .1808 2157 1179 1554 .1915 .1217 1591 .1950 .1255 1628 .1985 .1517 .1879 2224 2486 2517 2823 3106 3365 3599 2257 2580 2881 3159 3413 2549 .2852 3133 3389 3621 2324 2642 2939 3212 3461 2291 2389 2704 2995 3264 .3508 2422 2734 3023 3289 3531 2454 2357 2673 2967 3238 3485 2794 3078 .3340 3577 .2764 3051 3315 3554 2611 2910 3186 3438 bh LO 3830 3790 3980 4147 4292 4418 3810 3749 3944 4115 4265 4394 .3708 3907 4082 4236 A370 .3770 3686 3729 3665 3643 3849 4032 A192 4332 L.1 4015 4177 4319 4441 3997 4162 4306 4429 3925 4099 4251 4382 3962 4131 3888 4066 4222 4357 .3869 .4049 4207 4345 1.2 1.3 L4 4279 4406 1.5 4545 .4633 4706 4767 4535 4625 4699 4761 4812 4505 A599 4678 4744 4525 4616 4693 4495 4591 4671 .4738 4793 4515 4484 4474 4452 4554 4641 A713 4772 4463 1.6 4608 A686 4573 4656 4726 4783 4582 4664 4732 4788 4564 4649 4719 4778 L.7 1.8 4750 4756 19 4817 4803 .4808 4798 2.0 4857 4850 4884 4854 4842 4846 4881 4909 4931 4948 4838 4875 4904 4927 4945 4834 4830 4868 4898 4922 4941 4826 4864 4896 4920 4940 4821 2.1 4890 4916 4936 4952 4887 4913 4934 4951 A878 4906 4929 4946 4871 4901 4925 4943 4861 4893 4918 4938 2.2 2.3 2.4 2.5 .4911 .4932 .4949 4964 .4961 4971 .4979 4985 .4989 4962 4972 .4979 .4985 .4989 4963 4973 4980 4986 4990 4960 .4959 4969 4977 4984 4988 4957 4968 4977 4983 4988 4956 .4955 4966 4975 4982 .4987 .4953 4965 4974 A4981 4987 2.6 4974 .4981 4986 4990 4970 4978 4984 4989 4967 4976 4982 4987 27 28 2.9 3.0 tistical Tables and Formulas (New York: Wiley), 1952. Source: Abridged from Table I of A. Hald,

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1. For a random sample of size n = 100 from a normally distributed population has a sample mean of x ̅   = 20.85 and a sample standard deviation of s = 13.41.

Find:

a. 95% confidence interval for the population mean μ 

 

For a random sample of size n =100 from a normally distributed population has a sample
1.
mean of
= 20.85 and a sample standard deviation ofs = 13.41. Find a:
%3D
a) 95% confidence interval for the population mean u
Transcribed Image Text:For a random sample of size n =100 from a normally distributed population has a sample 1. mean of = 20.85 and a sample standard deviation ofs = 13.41. Find a: %3D a) 95% confidence interval for the population mean u
Table II
Normal Curve Areas
.03
.02
.04
.05
.00
.01
.06
.07
.09
.08
Z
0160
0557
.0948
1331
.1700
2054
0080
0478
.0871
.0120
0s17
0910
.0199
0596
0987
.1368
.1736
2088
0000
0398
0793
0239
.0636
.1026
.0040
0438
0832
.0279
67వ
.1064
0319
.0714
.1103
.1480
.1844
2190
0359
0753
.1141
.1406
.1772
2123
1293
1664
2019
.1443
.1808
2157
1179
1554
.1915
.1217
1591
.1950
.1255
1628
.1985
.1517
.1879
2224
2486
2517
2823
3106
3365
3599
2257
2580
2881
3159
3413
2549
.2852
3133
3389
3621
2324
2642
2939
3212
3461
2291
2389
2704
2995
3264
.3508
2422
2734
3023
3289
3531
2454
2357
2673
2967
3238
3485
2794
3078
.3340
3577
.2764
3051
3315
3554
2611
2910
3186
3438
bh
LO
3830
3790
3980
4147
4292
4418
3810
3749
3944
4115
4265
4394
.3708
3907
4082
4236
A370
.3770
3686
3729
3665
3643
3849
4032
A192
4332
L.1
4015
4177
4319
4441
3997
4162
4306
4429
3925
4099
4251
4382
3962
4131
3888
4066
4222
4357
.3869
.4049
4207
4345
1.2
1.3
L4
4279
4406
1.5
4545
.4633
4706
4767
4535
4625
4699
4761
4812
4505
A599
4678
4744
4525
4616
4693
4495
4591
4671
.4738
4793
4515
4484
4474
4452
4554
4641
A713
4772
4463
1.6
4608
A686
4573
4656
4726
4783
4582
4664
4732
4788
4564
4649
4719
4778
L.7
1.8
4750
4756
19
4817
4803
.4808
4798
2.0
4857
4850
4884
4854
4842
4846
4881
4909
4931
4948
4838
4875
4904
4927
4945
4834
4830
4868
4898
4922
4941
4826
4864
4896
4920
4940
4821
2.1
4890
4916
4936
4952
4887
4913
4934
4951
A878
4906
4929
4946
4871
4901
4925
4943
4861
4893
4918
4938
2.2
2.3
2.4
2.5
.4911
.4932
.4949
4964
.4961
4971
.4979
4985
.4989
4962
4972
.4979
.4985
.4989
4963
4973
4980
4986
4990
4960
.4959
4969
4977
4984
4988
4957
4968
4977
4983
4988
4956
.4955
4966
4975
4982
.4987
.4953
4965
4974
A4981
4987
2.6
4974
.4981
4986
4990
4970
4978
4984
4989
4967
4976
4982
4987
27
28
2.9
3.0
tistical Tables and Formulas (New York: Wiley), 1952.
Source: Abridged from Table I of A. Hald,
Transcribed Image Text:Table II Normal Curve Areas .03 .02 .04 .05 .00 .01 .06 .07 .09 .08 Z 0160 0557 .0948 1331 .1700 2054 0080 0478 .0871 .0120 0s17 0910 .0199 0596 0987 .1368 .1736 2088 0000 0398 0793 0239 .0636 .1026 .0040 0438 0832 .0279 67వ .1064 0319 .0714 .1103 .1480 .1844 2190 0359 0753 .1141 .1406 .1772 2123 1293 1664 2019 .1443 .1808 2157 1179 1554 .1915 .1217 1591 .1950 .1255 1628 .1985 .1517 .1879 2224 2486 2517 2823 3106 3365 3599 2257 2580 2881 3159 3413 2549 .2852 3133 3389 3621 2324 2642 2939 3212 3461 2291 2389 2704 2995 3264 .3508 2422 2734 3023 3289 3531 2454 2357 2673 2967 3238 3485 2794 3078 .3340 3577 .2764 3051 3315 3554 2611 2910 3186 3438 bh LO 3830 3790 3980 4147 4292 4418 3810 3749 3944 4115 4265 4394 .3708 3907 4082 4236 A370 .3770 3686 3729 3665 3643 3849 4032 A192 4332 L.1 4015 4177 4319 4441 3997 4162 4306 4429 3925 4099 4251 4382 3962 4131 3888 4066 4222 4357 .3869 .4049 4207 4345 1.2 1.3 L4 4279 4406 1.5 4545 .4633 4706 4767 4535 4625 4699 4761 4812 4505 A599 4678 4744 4525 4616 4693 4495 4591 4671 .4738 4793 4515 4484 4474 4452 4554 4641 A713 4772 4463 1.6 4608 A686 4573 4656 4726 4783 4582 4664 4732 4788 4564 4649 4719 4778 L.7 1.8 4750 4756 19 4817 4803 .4808 4798 2.0 4857 4850 4884 4854 4842 4846 4881 4909 4931 4948 4838 4875 4904 4927 4945 4834 4830 4868 4898 4922 4941 4826 4864 4896 4920 4940 4821 2.1 4890 4916 4936 4952 4887 4913 4934 4951 A878 4906 4929 4946 4871 4901 4925 4943 4861 4893 4918 4938 2.2 2.3 2.4 2.5 .4911 .4932 .4949 4964 .4961 4971 .4979 4985 .4989 4962 4972 .4979 .4985 .4989 4963 4973 4980 4986 4990 4960 .4959 4969 4977 4984 4988 4957 4968 4977 4983 4988 4956 .4955 4966 4975 4982 .4987 .4953 4965 4974 A4981 4987 2.6 4974 .4981 4986 4990 4970 4978 4984 4989 4967 4976 4982 4987 27 28 2.9 3.0 tistical Tables and Formulas (New York: Wiley), 1952. Source: Abridged from Table I of A. Hald,
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