a. Test the null hypothesis that µ = .397 against the alternative hypothesis that µ<0.397, using α = .10. b.Test the null hypothesis that µ = .397 against the alternative hypothesis that µ ≠0.397, using α = .10. Interpret the result.(Using Table II and Formula:image2)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A random sample of 64 observations produced the following summary
statistics: x = .36 and s2 = .034.
a. Test the null hypothesis that µ = .397 against the alternative hypothesis that µ<0.397, using α = .10.
b.Test the null hypothesis that µ = .397 against the alternative hypothesis that µ ≠0.397, using α = .10.
Interpret the result.(Using Table II and Formula:image2)

Table 8.2
Rejection Regions for Common Values of a, Large n
Alternative Hypotheses
Lower-Tailed
Upper-Tailed
Two-Tailed
a = .10
a = .05
a = .01
z > 1.28
z > 1.645
z > 2.33
z< -1.645 or z > 1.645
z< -1.96 or z > 1.96
z< -2.575 or z > 2.575
z< -1.28
z<-1.645
z< -2.33
Table II
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0120
.0517
0000
„0040
0080
.0239
.0279
0319
.0359
0160
.0557
.0199
.0398
0793
.0438
0832
0478
.0871
.0636
.1026
.0596
0675
0714
.1103
.0753
.1141
.2
0910
0948
.0987
.1064
.1255
.1628
.1331
.1700
.3
.1179
.1217
.1406
.1293
.1664
2019
.1368
.1443
.1808
2157
.1480
.1517
.1591
.1950
4
.1554
.1736
.1844
.1772
2123
.1879
.5
.1915
.1985
.2054
.2088
2190
2224
2454
2764
2486
2794
2257
2291
2611
2324
2642
.6
2357
2389
2422
2517
2549
2580
2881
3159
.7
2673
2704
2734
2823
2852
2910
3186
3106
3365
3599
.8
2939
2967
2995
3023
3051
3078
3133
3315
3554
.9
3212
3238
3264
3289
3340
3389
1.0
3413
3438
3461
3485
3508
3531
3577
3621
3729
3925
1.1
3643
3849
4032
3665
3686
3708
3749
3770
3790
3810
3830
1.2
3869
3888
3907
3962
3980
3997
3944
.4115
4015
4082
4236
4370
1.3
4049
4066
4099
4131
4147
4162
4177
4222
4357
4192
.4265
4279
1.4
1.5
4207
4251
4292
4306
4319
4332
.4345
4382
4394
4406
4418
4429
4441
4474
4573
4656
4726
.4783
4484
4582
4664
4495
4591
4671
4738
4793
4452
4554
.4641
.4505
4599
4678
4515
4608
4686
A535
4625
4525
4545
4633
4706
1.6
4463
4564
4649
1.7
4616
4693
4756
1.8
4699
4719
4778
4744
4750
4803
4713
4767
4732
4788
1.9
4761
2.0
4772
.4798
4808
4812
4817
4821
4861
4830
4868
4834
4871
4838
4875
.4904
2.1
4826
4842
4846
4850
4854
4857
4878
4906
2.2
4881
4884
.4911
4864
4887
4890
2.3
4893
4896
4898
4901
4909
4913
4916
2.4
4918
4920
4922
4925
4927
4929
4931
4932
4949
4934
4936
2.5
4938
4940
4941
4943
4945
4946
4948
4951
4952
2.6
4953
4965
4974
4957
4968
4963
4973
4955
4956
4959
4960
.4961
4962
4964
4970
4978
2.7
4966
4967
4969
4971
4972
4974
2.8
4975
4976
4977
4981
4977
4984
.4979
4979
4980
2.9
3.0
4982
4987
4982
4987
4983
4988
4981
4984
4985
4985
4989
4986
4986
4987
4988
4989
4989
4990
4990
Transcribed Image Text:Table 8.2 Rejection Regions for Common Values of a, Large n Alternative Hypotheses Lower-Tailed Upper-Tailed Two-Tailed a = .10 a = .05 a = .01 z > 1.28 z > 1.645 z > 2.33 z< -1.645 or z > 1.645 z< -1.96 or z > 1.96 z< -2.575 or z > 2.575 z< -1.28 z<-1.645 z< -2.33 Table II .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0120 .0517 0000 „0040 0080 .0239 .0279 0319 .0359 0160 .0557 .0199 .0398 0793 .0438 0832 0478 .0871 .0636 .1026 .0596 0675 0714 .1103 .0753 .1141 .2 0910 0948 .0987 .1064 .1255 .1628 .1331 .1700 .3 .1179 .1217 .1406 .1293 .1664 2019 .1368 .1443 .1808 2157 .1480 .1517 .1591 .1950 4 .1554 .1736 .1844 .1772 2123 .1879 .5 .1915 .1985 .2054 .2088 2190 2224 2454 2764 2486 2794 2257 2291 2611 2324 2642 .6 2357 2389 2422 2517 2549 2580 2881 3159 .7 2673 2704 2734 2823 2852 2910 3186 3106 3365 3599 .8 2939 2967 2995 3023 3051 3078 3133 3315 3554 .9 3212 3238 3264 3289 3340 3389 1.0 3413 3438 3461 3485 3508 3531 3577 3621 3729 3925 1.1 3643 3849 4032 3665 3686 3708 3749 3770 3790 3810 3830 1.2 3869 3888 3907 3962 3980 3997 3944 .4115 4015 4082 4236 4370 1.3 4049 4066 4099 4131 4147 4162 4177 4222 4357 4192 .4265 4279 1.4 1.5 4207 4251 4292 4306 4319 4332 .4345 4382 4394 4406 4418 4429 4441 4474 4573 4656 4726 .4783 4484 4582 4664 4495 4591 4671 4738 4793 4452 4554 .4641 .4505 4599 4678 4515 4608 4686 A535 4625 4525 4545 4633 4706 1.6 4463 4564 4649 1.7 4616 4693 4756 1.8 4699 4719 4778 4744 4750 4803 4713 4767 4732 4788 1.9 4761 2.0 4772 .4798 4808 4812 4817 4821 4861 4830 4868 4834 4871 4838 4875 .4904 2.1 4826 4842 4846 4850 4854 4857 4878 4906 2.2 4881 4884 .4911 4864 4887 4890 2.3 4893 4896 4898 4901 4909 4913 4916 2.4 4918 4920 4922 4925 4927 4929 4931 4932 4949 4934 4936 2.5 4938 4940 4941 4943 4945 4946 4948 4951 4952 2.6 4953 4965 4974 4957 4968 4963 4973 4955 4956 4959 4960 .4961 4962 4964 4970 4978 2.7 4966 4967 4969 4971 4972 4974 2.8 4975 4976 4977 4981 4977 4984 .4979 4979 4980 2.9 3.0 4982 4987 4982 4987 4983 4988 4981 4984 4985 4985 4989 4986 4986 4987 4988 4989 4989 4990 4990
マー H。
Transcribed Image Text:マー H。
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