Q1. Consider the following hypothesis: Give:​​Ho: µ ≤ 28 H1: µ > 28 A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05 Solution:  Calculate zx̅ = Find zα= Compare zx̅ and zα Your conclusion:       Q2.Consider the following hypothesis: Give:​​Ho: µ ≤ 28 H1: µ > 28 A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05 Solution:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q1. Consider the following hypothesis:

Give:​​Ho: µ ≤ 28

H1: µ > 28

A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05

Solution: 

Calculate zx̅ =

Find zα=
Compare zx̅ and zα

Your conclusion:

 

 

 

Q2.Consider the following hypothesis:

Give:​​Ho: µ ≤ 28

H1: µ > 28

A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05

Solution: 

Calculate zx̅ =

Calculate p-value:

Compare p-value with α:

Your conclusion:

 

 

 

Q3. Consider the following hypothesis:

Give:​​Ho: µ ≤ 28

H1: µ > 28

A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05

Solution: 

Calculate zx̅ =
Find p-value using Excel:

Compare p-value with α:

Your conclusion:

Table-5: t-Table One Tale
12.30
4:30
6.96
22.328
10214
7.173
2.57
1365
244
3-14.
5208
2.36
2.998
2.30
2.896
3355
4,501
2.202
325 129
2.22
2.704
2.20
3.93
2.97
2.845
2.831
3-52
2.81g
350
348
34b
3435
Table-5: t-Table Two Tail
A-0.2
3.707
2365
2.998
3-499
2306
2.896 3355
2.20a 2.821
1.761 2.145 2.624 2.97
3.787
1746
2.12
3.686
3.61
E74 2.101
2.093
2.539 2.861
1725 2.086
2.528 2.845
3-554
2.08
2.518 2 831
3-527
2 7ו17
2.508 2.80
1.714 2.06g
25 2.80
2.06
2-78
170
2.056
3435
2.05
是目
有 。
著 著
哥
34 56ト 9 = ゴ s aa a 8& 品 。
Transcribed Image Text:Table-5: t-Table One Tale 12.30 4:30 6.96 22.328 10214 7.173 2.57 1365 244 3-14. 5208 2.36 2.998 2.30 2.896 3355 4,501 2.202 325 129 2.22 2.704 2.20 3.93 2.97 2.845 2.831 3-52 2.81g 350 348 34b 3435 Table-5: t-Table Two Tail A-0.2 3.707 2365 2.998 3-499 2306 2.896 3355 2.20a 2.821 1.761 2.145 2.624 2.97 3.787 1746 2.12 3.686 3.61 E74 2.101 2.093 2.539 2.861 1725 2.086 2.528 2.845 3-554 2.08 2.518 2 831 3-527 2 7ו17 2.508 2.80 1.714 2.06g 25 2.80 2.06 2-78 170 2.056 3435 2.05 是目 有 。 著 著 哥 34 56ト 9 = ゴ s aa a 8& 品 。
Table-1: Positive z-table
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.5120
5199
.5000
.5398
.5080
.5478
5871
0.0
.5040
.5160
.5239
.5279
.5319
.5359
.5596
5987
0.1
.5714
.5753
.5438
5832
.6217
.5517
.5557
.5636
.5675
.6064
.6443
.5910
.5948
.6026
.6103
.6480
.6141
.6517
0.2
5793
0.3
.6179
.6554
.6915
.7257
.6255
.6293
.6331
.6368
.6406
.6591
.6628
.6664
.7019
7357
.6700
7054
7389
.6736
.6772
.6808
.6844
.6879
0.4
0.5
0.6
.6950
.7291
.6985
.7324
7088
7422
7734
7123
.7157
.7190
7224
.7454
.7764
7486
7794
7517
.7823
7549
7852
0.7
.7580
.7611
.7910
.8186
.8438
.7642
7673
7704
7967
.8238
.8485
.8708
0.8
.7881
.7939
7995
8023
8051
.8078
.8106
.8133
.8389
0.9
1.0
1.1
.8159
.8413
.8212
.8461
.8686
.8264
.8289
.8315
8340
.8365
.8508
.8729
.8531
.8749
.8554
8770
.8962
.8577
.8790
.8599
.8810
.8621
.8643
.8665
.8830
1.2
.8849
.8869
.8888
.8907
8925
.8944
.8980
.8997
.9015
.9032
.9192
.9332
.9452
.9554
.9066
.9082
9115
.9147 .9162
.9292
.9306
.9177
.9319
1.3
9049
.9099
.9131
1.4
9207
.9222
.9236
.9251
.9382
.9495
.9591
.9265
.9279
1.5
1.6
1.7
.9345
.9357
.9370
.9394
.9406
.9418
.9429
.9441
.9463
.9564
.9474
.9573
.9656
9484
.9582
.9505
.9599
.9678
.9515
.9608
.9686
.9525
.9535
.9616
.9693
.9625
.9699
.9545
9633
.9706
1.8
.9641
.9713
.9649
.9664
.9732
9788
.9671
.9719
9744
9798
.9842
.9878
1.9
.9726
.9738
.9750
.9756
.9761
.9767
9778
.9826
9803
.9808
.9812
9817
2.0
2.1
2.2
2.3
.9772
.9821
9861
.9783
.9830
.9868
9793
.9834
9871
.9838
.9875
.9904
.9927
.9846
.9850
.9884
.9911
9932
.9949
.9854
.9887
.9913
.9934
.9951
.9857
.9881
.9864
.9896
.9920
.9901
.9925
.9890
9916
9906
.9909
.9931
.9893
.9898
.9922
.9936
.9952
2.4
.9918
.9929
2.5
.9938
.9940
.9941
.9943
.9945
.9946
.9948
2.6
2.7
2.8
.9953
.9955
.9956
.9967
.9976
.9957
.9968
.9977
.9959
.9960
.9961
.9962
.9963
.9964
.9965
.9974
.9966
.9975
.9969
.9977
.9970
.9978
.9984
.9971
.9979
9985
.9972
.9973
.9974
.9979
9985
.9980
.9986
.9981
2.9
.9981
.9982
.9982
.9983
.9984
.9986
3.0
.9987
.9987
.9987
.9988
.9988
.9989
.9989
.9989
.9990
.9990
.9992
3.1
3.2
.9990
9993
.9991
.9991
.9991
.9992
.9992
.9992
.9993
.9993
.9993
.9994
.9994
.9994
.9994
.9994
.9995
.9995
9995
.9995
3.3
3.4
.9995
.9995
.9997 .9997
9996
.9997
.9996
.9996
.9996
9996
.9996
.9997
.9997
.9997
.9997
9997
.9997
.9997
.9998
Table-3: Negative z-table
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
-0
50000
49601
49202
48803
48405
48006
47608
47210
46812
46414
-0.1
46017
45620
45224
44828
44433
44034
43640
43251
428S8
42465
-0.2
42074
41683
41294
40905
40517
40129
39743
39358
38974
38591
-0.3
38209
37828
37448
37070
36693
36317
35942
35569
35197
34827
-0.4
34458
34090
33724
33360
32997
32636
32276
31918
31561
31207
-0.5
30854
30503
30153
29806
29460
29116
28774
28434
28096
27760
-0.6
27425
27093
26763
26435
26109
25785
25463
25143
24825
24510
21476
18673
-0.7
24196
23885
23576
23270
22965
22663
22363
22065
21770
-0.8
21186
20897
20611
20327
20045
.19766
.19489
.19215
18943
-0.9
18406
18141
17879
.17619
17361
17106
.16853
.16602
16354
.16109
-1
15866
15625
.15386
.15151
14917
.14686
.14457
14231
14007
13786
-1.1
-1.2
.13567
13350
13136
12924
12714
12507
12302
12100
11900
11702
11507
.11314
123
10935
10749
10565
10383
10204
10027
.09853
-1.3
09680
.09510
.09342
09176
.09012
08851
.08692
08534
08379
08226
-1.4
08076
07927
07780
07636
07493
07353
.07215
07078
06944
.06811
-1.5
06681
06552
06426
06301
06178
06057
05938
O5821
05705
05592
-1.6
05480
05370
05262
05155
.05050
04947
04846
04746
04648
04551
-1.7
04457
04363
04272
04182
04093
04006
03920
03836
03754
03673
-1.8
03593
03515
03438
03362
03288
03216
03144
03074
03005
02938
-1.9
02872
02807
02743
026B0
02619
02559
02500
02442
02385
02330
-2
02275
02222
02169
02118
02068
02018
.01970
01923
01876
01831
-2.1
01786
01700
01618
01463
01426
01743
01659
01578
01539
01500
-2.2
01390
01355
01321
01287
01255
01222
01191
01160
01130
01101
-2.3
01072
01044
0OBB9
00842
01017
00990
00964
00939
00914
00866
-2.4
00820
00798
00776
00755
00734
00714
00695
00676
00657
00639
-2.5
00621
00604
00587
00570
.00554
00539
00523
00508
00494
00480
-2.6
00466
.00453
00440
00427
00415
00402
00391
00379
.00368
00357
-2.7
00347
.00336
.00326
00317
.00307
00298
.00289
00280
.00272
00264
.00193
.00144 00139
-2.8
00256
00248
00240
00233
00226
00219
00212
00205
00199
-2.9
00187
.00181
00175
00169
00164
00159
.00154
00149
-3
00135
00131
.00126
00122
00118
00114
00111
00107
00104
00100
-3.1
00097
00094
.00090
00087
.00084
000B2
00079
00076
00074
00071
-3.2
00069
.00066
00064
00062
00060
00058
00056
00054
00052
00050
-3.3
00048
.00047
00045
00043
O0042
00040
00039 00038
00036
00035
-3.4
00034
00032
00031
00030
O0029
00028
00027
00026
00025
D0024
-3.5
00023
00022
.00022
00021
00020
00019
.00019
00018
00017
00017
-3.6
00016
00015
00015
00014
O0014
00013
00013
00012
00012
.00011
-3.7
.00011
00010
00010
00010
00009
00009
00008
00008
0000B
00008
-3.8
00007
00007
00007
00006
.00006
00006
.00006
00005
00005
00005
-3.9
00005
.00005
00004
00004
00004
00004
00004
00004
00003
00003
-4
00003
00003
.00003
00003
00003
00003
00002
00002
00002
.00002
Transcribed Image Text:Table-1: Positive z-table .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5120 5199 .5000 .5398 .5080 .5478 5871 0.0 .5040 .5160 .5239 .5279 .5319 .5359 .5596 5987 0.1 .5714 .5753 .5438 5832 .6217 .5517 .5557 .5636 .5675 .6064 .6443 .5910 .5948 .6026 .6103 .6480 .6141 .6517 0.2 5793 0.3 .6179 .6554 .6915 .7257 .6255 .6293 .6331 .6368 .6406 .6591 .6628 .6664 .7019 7357 .6700 7054 7389 .6736 .6772 .6808 .6844 .6879 0.4 0.5 0.6 .6950 .7291 .6985 .7324 7088 7422 7734 7123 .7157 .7190 7224 .7454 .7764 7486 7794 7517 .7823 7549 7852 0.7 .7580 .7611 .7910 .8186 .8438 .7642 7673 7704 7967 .8238 .8485 .8708 0.8 .7881 .7939 7995 8023 8051 .8078 .8106 .8133 .8389 0.9 1.0 1.1 .8159 .8413 .8212 .8461 .8686 .8264 .8289 .8315 8340 .8365 .8508 .8729 .8531 .8749 .8554 8770 .8962 .8577 .8790 .8599 .8810 .8621 .8643 .8665 .8830 1.2 .8849 .8869 .8888 .8907 8925 .8944 .8980 .8997 .9015 .9032 .9192 .9332 .9452 .9554 .9066 .9082 9115 .9147 .9162 .9292 .9306 .9177 .9319 1.3 9049 .9099 .9131 1.4 9207 .9222 .9236 .9251 .9382 .9495 .9591 .9265 .9279 1.5 1.6 1.7 .9345 .9357 .9370 .9394 .9406 .9418 .9429 .9441 .9463 .9564 .9474 .9573 .9656 9484 .9582 .9505 .9599 .9678 .9515 .9608 .9686 .9525 .9535 .9616 .9693 .9625 .9699 .9545 9633 .9706 1.8 .9641 .9713 .9649 .9664 .9732 9788 .9671 .9719 9744 9798 .9842 .9878 1.9 .9726 .9738 .9750 .9756 .9761 .9767 9778 .9826 9803 .9808 .9812 9817 2.0 2.1 2.2 2.3 .9772 .9821 9861 .9783 .9830 .9868 9793 .9834 9871 .9838 .9875 .9904 .9927 .9846 .9850 .9884 .9911 9932 .9949 .9854 .9887 .9913 .9934 .9951 .9857 .9881 .9864 .9896 .9920 .9901 .9925 .9890 9916 9906 .9909 .9931 .9893 .9898 .9922 .9936 .9952 2.4 .9918 .9929 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 2.6 2.7 2.8 .9953 .9955 .9956 .9967 .9976 .9957 .9968 .9977 .9959 .9960 .9961 .9962 .9963 .9964 .9965 .9974 .9966 .9975 .9969 .9977 .9970 .9978 .9984 .9971 .9979 9985 .9972 .9973 .9974 .9979 9985 .9980 .9986 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 .9992 3.1 3.2 .9990 9993 .9991 .9991 .9991 .9992 .9992 .9992 .9993 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 9995 .9995 3.3 3.4 .9995 .9995 .9997 .9997 9996 .9997 .9996 .9996 .9996 9996 .9996 .9997 .9997 .9997 .9997 9997 .9997 .9997 .9998 Table-3: Negative z-table 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -0 50000 49601 49202 48803 48405 48006 47608 47210 46812 46414 -0.1 46017 45620 45224 44828 44433 44034 43640 43251 428S8 42465 -0.2 42074 41683 41294 40905 40517 40129 39743 39358 38974 38591 -0.3 38209 37828 37448 37070 36693 36317 35942 35569 35197 34827 -0.4 34458 34090 33724 33360 32997 32636 32276 31918 31561 31207 -0.5 30854 30503 30153 29806 29460 29116 28774 28434 28096 27760 -0.6 27425 27093 26763 26435 26109 25785 25463 25143 24825 24510 21476 18673 -0.7 24196 23885 23576 23270 22965 22663 22363 22065 21770 -0.8 21186 20897 20611 20327 20045 .19766 .19489 .19215 18943 -0.9 18406 18141 17879 .17619 17361 17106 .16853 .16602 16354 .16109 -1 15866 15625 .15386 .15151 14917 .14686 .14457 14231 14007 13786 -1.1 -1.2 .13567 13350 13136 12924 12714 12507 12302 12100 11900 11702 11507 .11314 123 10935 10749 10565 10383 10204 10027 .09853 -1.3 09680 .09510 .09342 09176 .09012 08851 .08692 08534 08379 08226 -1.4 08076 07927 07780 07636 07493 07353 .07215 07078 06944 .06811 -1.5 06681 06552 06426 06301 06178 06057 05938 O5821 05705 05592 -1.6 05480 05370 05262 05155 .05050 04947 04846 04746 04648 04551 -1.7 04457 04363 04272 04182 04093 04006 03920 03836 03754 03673 -1.8 03593 03515 03438 03362 03288 03216 03144 03074 03005 02938 -1.9 02872 02807 02743 026B0 02619 02559 02500 02442 02385 02330 -2 02275 02222 02169 02118 02068 02018 .01970 01923 01876 01831 -2.1 01786 01700 01618 01463 01426 01743 01659 01578 01539 01500 -2.2 01390 01355 01321 01287 01255 01222 01191 01160 01130 01101 -2.3 01072 01044 0OBB9 00842 01017 00990 00964 00939 00914 00866 -2.4 00820 00798 00776 00755 00734 00714 00695 00676 00657 00639 -2.5 00621 00604 00587 00570 .00554 00539 00523 00508 00494 00480 -2.6 00466 .00453 00440 00427 00415 00402 00391 00379 .00368 00357 -2.7 00347 .00336 .00326 00317 .00307 00298 .00289 00280 .00272 00264 .00193 .00144 00139 -2.8 00256 00248 00240 00233 00226 00219 00212 00205 00199 -2.9 00187 .00181 00175 00169 00164 00159 .00154 00149 -3 00135 00131 .00126 00122 00118 00114 00111 00107 00104 00100 -3.1 00097 00094 .00090 00087 .00084 000B2 00079 00076 00074 00071 -3.2 00069 .00066 00064 00062 00060 00058 00056 00054 00052 00050 -3.3 00048 .00047 00045 00043 O0042 00040 00039 00038 00036 00035 -3.4 00034 00032 00031 00030 O0029 00028 00027 00026 00025 D0024 -3.5 00023 00022 .00022 00021 00020 00019 .00019 00018 00017 00017 -3.6 00016 00015 00015 00014 O0014 00013 00013 00012 00012 .00011 -3.7 .00011 00010 00010 00010 00009 00009 00008 00008 0000B 00008 -3.8 00007 00007 00007 00006 .00006 00006 .00006 00005 00005 00005 -3.9 00005 .00005 00004 00004 00004 00004 00004 00004 00003 00003 -4 00003 00003 .00003 00003 00003 00003 00002 00002 00002 .00002
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