To test Ho: u = 20 versus H,: µ< 20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.4 and s = 4.3, compute the test statistic. t= (Round to two decimal places as needed.)

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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1-Distribution
Area in Right Tail
df
1.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0,0025
0,001
0.0005
df
1.376
1.061
0.978
0.941
0.920
6314
2.920
2.353
2.132
12.706
4.303
3.182
2.776
318.309
22.327
10.215
7.173
5.893
1.963
1.386
3.078
1.886
15.894
4.849
342
2.999
31.821
6.965
4.541
3.747
63.657
9.925
5.841
4.604
127.321
14.089
636.619
31.599
1.000
0.816
0.765
0.741
in
1.250
1.190
L156
1638
1.533
7453
5.598
4.773
12.924
8.610
0.727
1476
2015
2571
2.757
3.365
4.032
6.809
0.718
7.
0.711
0.706
1.440
1415
1.397
2.447
2.365
2.306
2.262
3.707
3.499
3.355
3.250
5.208
4.785
4.501
4.297
4.144
0.906
1.134
L119
1.108
L.100
1093
1.943
2612
2517
2449
2398
2.359
3.143
2.998
2.N96
2.821
2.764
4317
4.029
3833
3.690
5.959
0.896
1.895
1.860
1.833
5.408
5.041
7
0.703
0.700
1.383
1372
0.883
4.781
10
0.879
1.812
2.228
3.169
3.581
4.587
10
1.363
1356
1.O88
11
12
13
2.328
2.303
2.282
2.264
2249
2.718
2.681
2.650
3.106
3.055
3.012
2.977
2.947
0.697
0.876
1.796
1.782
1.771
1.761
1.753
2.201
3.497
4.025
3.930
3.852
4.437
2179
2.160
0.695
0.694
0.692
0.691
0.873
0.870
3.428
3.372
3.326
3.286
4318
4.221
12
13
1.350
1.345
1.341
1079
14
15
LO76
1074
2.145
2.131
2.624
2.602
3,787
3.733
4.140
14
15
0.866
4.073
1.337
1.333
1.330
2.120
2110
2.101
2.093
2.086
2235
2224
2214
2.205
2.197
0.865
0.863
1.746
1.740
2.583
2.567
3.252
3.222
3.197
3.174
3.153
16
17
3.686
3.646
0,690
2.921
2.898
2.878
4.015
3.965
3.922
3.S83
3.850
16
17
0.689
1069
18
19
0.688
0.688
0.862
0.861
0,860
3.610
3.579
1.067
1.734
1.729
2.552
18
1.328
1.325
2539
2528
2.861
2.845
1.066
19
20
0.687
L064
1.725
3.552
20
21
22
0.686
0.686
0.859
0,858
1.063
1061
1060
1.323
1.321
1.721
1.717
1.714
1.711
2.080
2.074
2.069
2.064
3.135
3.119
2.189
2.183
2518
2508
2.831
2.819
3.527
3.505
3819
3.792
3.768
3.745
21
22
23
24
O858
0857
1.319
1.318
1.316
2.177
2.172
2.167
2500
2492
2.807
2.797
3.104
3.091
348S
3.467
3.450
23
24
0.685
1059
LOS8
0.684
0856
1.708
2.060
2.787
2.779
2.771
2.763
2.756
2.750
25
2485
3078
3.725
25
0.684
0.684
0.683
26
3.707
0856
0855
1.058
1O57
1.O56
1.055
1OS5
1.315
1.706
1.703
1.701
2.056
2.052
2.048
2.045
2042
2.162
2.158
2.154
2479
2473
2467
2462
2457
3.067
3435
3421
26
1.314
1.313
1311
1310
27
28
3.057
3.047
3.690
3.674
3.659
3.646
27
28
29
30
0.683
0683
ORSS
0.854
0.854
1.699
L697
2.150
2.147
3.038
3.030
3.408
3.396
3.385
29
30
0.682
0.682
0.682
1.054
LO54
1.053
1.052
1O52
3.375
3.365
3.356
2.453
3.633
3.622
3.611
3.601
3.591
31
0.853
1.309
1.696
2.040
2144
2.744
3.022
31
0.853
0.853
0.852
0.852
1.309
1.308
1.307
2.037
2.035
2.032
2.030
2.738
2.733
2.728
2.724
32
33
1.694
1.692
3.015
3.008
2141
2138
2136
2133
2449
32
33
34
35
0.682
0.682
1.691
1.690
2.445
2441
2438
3.002
2.996
3.348
3.340
34
35
1306
L052
1.O51
2.719
2.715
2.712
2.708
2.704
36
0.681
0.681
0.852
1.306
1688
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2123
2434
2431
2429
2.426
2.423
2.990
3.333
3.582
3.574
3.566
3.558
3.551
36
37
38
39
40
0.681
0.681
0.681
O8SI
0.851
0.851
0.851
1.305
1.304
1.304
1.303
1.687
1.686
1.685
1.684
2.985
2.980
2.976
2971
3.326
3.319
3.313
3.307
37
38
39
40
1.050
LO50
0679
0.679
1.047
1.045
1.299
1296
1.676
1.671
2.109
2.099
2.678
2.660
2.937
2.915
2.899
2.887
2.878
3.496
3.460
50
0.849
2.009
2.000
2.403
2.390
3.261
50
0.848
3.232
60
0.678
0.678
0.847
0.846
1.294
1.292
1291
1667
1.664
2093
2.088
2.084
2.381
2.374
2.368
70
L044
1043
1042
1.994
1.990
1.987
2.648
2.639
2.632
3,211
3.195
3.183
3.435
3.416
3.402
70
90
0.677
0.846
L662
90
1.290
1.282
1282
0.677
0.845
1042
L037
1036
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2871
2813
2.807
3.174
3.390
3.300 1000
3.291:
100
1.660
1.646
1645
100
0.675
0.674
3.098
3.090
1000
0.842
0.842
df
0.25
0.20
0.15
0.10
0.025
0.02
0.01
0.N25
1.0005
df
Transcribed Image Text:1-Distribution Area in Right Tail df 1.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0,0025 0,001 0.0005 df 1.376 1.061 0.978 0.941 0.920 6314 2.920 2.353 2.132 12.706 4.303 3.182 2.776 318.309 22.327 10.215 7.173 5.893 1.963 1.386 3.078 1.886 15.894 4.849 342 2.999 31.821 6.965 4.541 3.747 63.657 9.925 5.841 4.604 127.321 14.089 636.619 31.599 1.000 0.816 0.765 0.741 in 1.250 1.190 L156 1638 1.533 7453 5.598 4.773 12.924 8.610 0.727 1476 2015 2571 2.757 3.365 4.032 6.809 0.718 7. 0.711 0.706 1.440 1415 1.397 2.447 2.365 2.306 2.262 3.707 3.499 3.355 3.250 5.208 4.785 4.501 4.297 4.144 0.906 1.134 L119 1.108 L.100 1093 1.943 2612 2517 2449 2398 2.359 3.143 2.998 2.N96 2.821 2.764 4317 4.029 3833 3.690 5.959 0.896 1.895 1.860 1.833 5.408 5.041 7 0.703 0.700 1.383 1372 0.883 4.781 10 0.879 1.812 2.228 3.169 3.581 4.587 10 1.363 1356 1.O88 11 12 13 2.328 2.303 2.282 2.264 2249 2.718 2.681 2.650 3.106 3.055 3.012 2.977 2.947 0.697 0.876 1.796 1.782 1.771 1.761 1.753 2.201 3.497 4.025 3.930 3.852 4.437 2179 2.160 0.695 0.694 0.692 0.691 0.873 0.870 3.428 3.372 3.326 3.286 4318 4.221 12 13 1.350 1.345 1.341 1079 14 15 LO76 1074 2.145 2.131 2.624 2.602 3,787 3.733 4.140 14 15 0.866 4.073 1.337 1.333 1.330 2.120 2110 2.101 2.093 2.086 2235 2224 2214 2.205 2.197 0.865 0.863 1.746 1.740 2.583 2.567 3.252 3.222 3.197 3.174 3.153 16 17 3.686 3.646 0,690 2.921 2.898 2.878 4.015 3.965 3.922 3.S83 3.850 16 17 0.689 1069 18 19 0.688 0.688 0.862 0.861 0,860 3.610 3.579 1.067 1.734 1.729 2.552 18 1.328 1.325 2539 2528 2.861 2.845 1.066 19 20 0.687 L064 1.725 3.552 20 21 22 0.686 0.686 0.859 0,858 1.063 1061 1060 1.323 1.321 1.721 1.717 1.714 1.711 2.080 2.074 2.069 2.064 3.135 3.119 2.189 2.183 2518 2508 2.831 2.819 3.527 3.505 3819 3.792 3.768 3.745 21 22 23 24 O858 0857 1.319 1.318 1.316 2.177 2.172 2.167 2500 2492 2.807 2.797 3.104 3.091 348S 3.467 3.450 23 24 0.685 1059 LOS8 0.684 0856 1.708 2.060 2.787 2.779 2.771 2.763 2.756 2.750 25 2485 3078 3.725 25 0.684 0.684 0.683 26 3.707 0856 0855 1.058 1O57 1.O56 1.055 1OS5 1.315 1.706 1.703 1.701 2.056 2.052 2.048 2.045 2042 2.162 2.158 2.154 2479 2473 2467 2462 2457 3.067 3435 3421 26 1.314 1.313 1311 1310 27 28 3.057 3.047 3.690 3.674 3.659 3.646 27 28 29 30 0.683 0683 ORSS 0.854 0.854 1.699 L697 2.150 2.147 3.038 3.030 3.408 3.396 3.385 29 30 0.682 0.682 0.682 1.054 LO54 1.053 1.052 1O52 3.375 3.365 3.356 2.453 3.633 3.622 3.611 3.601 3.591 31 0.853 1.309 1.696 2.040 2144 2.744 3.022 31 0.853 0.853 0.852 0.852 1.309 1.308 1.307 2.037 2.035 2.032 2.030 2.738 2.733 2.728 2.724 32 33 1.694 1.692 3.015 3.008 2141 2138 2136 2133 2449 32 33 34 35 0.682 0.682 1.691 1.690 2.445 2441 2438 3.002 2.996 3.348 3.340 34 35 1306 L052 1.O51 2.719 2.715 2.712 2.708 2.704 36 0.681 0.681 0.852 1.306 1688 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2123 2434 2431 2429 2.426 2.423 2.990 3.333 3.582 3.574 3.566 3.558 3.551 36 37 38 39 40 0.681 0.681 0.681 O8SI 0.851 0.851 0.851 1.305 1.304 1.304 1.303 1.687 1.686 1.685 1.684 2.985 2.980 2.976 2971 3.326 3.319 3.313 3.307 37 38 39 40 1.050 LO50 0679 0.679 1.047 1.045 1.299 1296 1.676 1.671 2.109 2.099 2.678 2.660 2.937 2.915 2.899 2.887 2.878 3.496 3.460 50 0.849 2.009 2.000 2.403 2.390 3.261 50 0.848 3.232 60 0.678 0.678 0.847 0.846 1.294 1.292 1291 1667 1.664 2093 2.088 2.084 2.381 2.374 2.368 70 L044 1043 1042 1.994 1.990 1.987 2.648 2.639 2.632 3,211 3.195 3.183 3.435 3.416 3.402 70 90 0.677 0.846 L662 90 1.290 1.282 1282 0.677 0.845 1042 L037 1036 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2871 2813 2.807 3.174 3.390 3.300 1000 3.291: 100 1.660 1.646 1645 100 0.675 0.674 3.098 3.090 1000 0.842 0.842 df 0.25 0.20 0.15 0.10 0.025 0.02 0.01 0.N25 1.0005 df
To test Ho: µ = 20 versus H,: µ<20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
Click here to view the t-Distribution Area in Right Tail.
(a) If x = 18.4 and s = 4.3, compute the test statistic.
%3=
(Round to two decimal places as needed.)
Transcribed Image Text:To test Ho: µ = 20 versus H,: µ<20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.4 and s = 4.3, compute the test statistic. %3= (Round to two decimal places as needed.)
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