Question 1 Answer Part D only!!

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Question 1

Answer Part D only!!

t-Distribution
Arca in Right Tail
df
0.25
0,20
0.15
0.10
0,05
0.025
0.02
0.01
0.005
0.0025
0.001
(0.0005
df
12.706
4.303
3.182
2.776
2571
15.894
4.849
3.482
2.999
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8,610
6.869
1
1.000
1.376
1.963
1.386
1.250
1.190
3.078
6.314
2.920
2.353
2.132
2.015
2
0,816
0.765
0.741
0.727
1.061
0.978
0.941
0.920
1.886
1.638
1.533
1.476
2
3
3
5
1.156
2.757
5
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
0.718
7
0.906
1.134
1.119
1.108
1.100
1.093
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
6.
0.711
8
0.706
0.703
0.700
0.896
0.889
0.883
0.879
4.029
3.833
3.690
3.581
8
9
10
4.587
10
0.697
0,695
0,694
0.692
0.691
0.876
0.873
0,870
0.868
1.363
1.356
1.350
1.345
1.341
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
11
1.088
1.796
4.437
11
12
13
1.083
1.079
1.076
1.782
1.771
1.761
1.753
4.318
4.221
12
13
3.852
3.787
3.733
14
4.140
14
15
0.866
1.074
4.073
15
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
3.252
3.222
3.197
3.174
3.153
0.690
16
17
0,865
0,863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
2.235
2.224
2.214
2.205
2.197
2.921
2.898
2.878
2.861
2.845
3.686
3.646
4.015
3.965
16
17
0.689
0.688
0,688
0.687
18
3.610
3.922
3.883
3.850
18
3.579
3.552
19
19
20
20
0.859
0858
0.858
0,857
0.856
1.323
1.321
1.063
1.061
1.060
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
21
22
0.686
0.686
2.518
2.831
2.819
2,807
2.797
2.787
3.819
3.792
3.768
3.745
3.725
21
22
0.685
0.685
0.684
1.319
1.318
1.316
2.508
2.500
2.492
2.485
23
23
24
1.059
24
25
1.058
25
3.435
3.421
0856
0,855
0855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
2.056
2.052
2.162
2.158
2.154
2.150
2.147
3.067
3.057
3.707
3.690
3.674
3.659
3.646
26
27
0,684
1.706
1.703
1.701
1.699
1.697
26
0.684
0.683
0.683
0.683
27
28
2.048
3.047
3.408
28
29
30
2.045
2.042
3.038
3.030
3.396
3.385
29
30
1.054
1.054
1.053
1.052
1.052
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
31
0.682
0,853
1.309
31
0.682
0.682
0.682
0.682
0.853
0,853
0.852
0.852
1.309
1.308
1.307
1.306
32
32
33
33
34
35
34
35
1.306
1.305
1.304
1.304
1.303
2.131
2.129
2.127
2.125
2.123
2.719
2.715
36
0.681
0.681
0.681
0.681
0.681
0,852
0.851
0.851
0.851
0,851
1.052
1.051
1.051
1.050
1.050
1.688
1.687
1.686
1.685
1.684
2.028
2.026
2.024
2.023
2.021
2.434
2.431
2.429
2.426
2.423
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
36
37
37
38
39
2.712
2.708
2.704
38
39
40
40
0.849
0.848
0.847
0.846
0,846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
1.990
2.678
2.660
2.648
2.639
2.632
2.109
0,679
0.679
0.678
0.678
0.677
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
2.403
50
2.099
2.093
2.088
2.084
2.390
2.381
2.374
2.368
60
60
70
70
80
80
90
1.987
90
1.660
1.646
1.645
3.174
3.098
3.090
100
0.677
0.675
0,674
0,845
0.842
0,842
1.042
1.037
1.290
1.282
1.282
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2,807
3.390 100
3.300 1000
3.291 z
1000
1.036
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
df
Transcribed Image Text:t-Distribution Arca in Right Tail df 0.25 0,20 0.15 0.10 0,05 0.025 0.02 0.01 0.005 0.0025 0.001 (0.0005 df 12.706 4.303 3.182 2.776 2571 15.894 4.849 3.482 2.999 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8,610 6.869 1 1.000 1.376 1.963 1.386 1.250 1.190 3.078 6.314 2.920 2.353 2.132 2.015 2 0,816 0.765 0.741 0.727 1.061 0.978 0.941 0.920 1.886 1.638 1.533 1.476 2 3 3 5 1.156 2.757 5 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 0.718 7 0.906 1.134 1.119 1.108 1.100 1.093 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 6. 0.711 8 0.706 0.703 0.700 0.896 0.889 0.883 0.879 4.029 3.833 3.690 3.581 8 9 10 4.587 10 0.697 0,695 0,694 0.692 0.691 0.876 0.873 0,870 0.868 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 11 1.088 1.796 4.437 11 12 13 1.083 1.079 1.076 1.782 1.771 1.761 1.753 4.318 4.221 12 13 3.852 3.787 3.733 14 4.140 14 15 0.866 1.074 4.073 15 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 0.690 16 17 0,865 0,863 0.862 0.861 0.860 1.071 1.069 1.067 1.066 1.064 2.235 2.224 2.214 2.205 2.197 2.921 2.898 2.878 2.861 2.845 3.686 3.646 4.015 3.965 16 17 0.689 0.688 0,688 0.687 18 3.610 3.922 3.883 3.850 18 3.579 3.552 19 19 20 20 0.859 0858 0.858 0,857 0.856 1.323 1.321 1.063 1.061 1.060 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 21 22 0.686 0.686 2.518 2.831 2.819 2,807 2.797 2.787 3.819 3.792 3.768 3.745 3.725 21 22 0.685 0.685 0.684 1.319 1.318 1.316 2.508 2.500 2.492 2.485 23 23 24 1.059 24 25 1.058 25 3.435 3.421 0856 0,855 0855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 2.056 2.052 2.162 2.158 2.154 2.150 2.147 3.067 3.057 3.707 3.690 3.674 3.659 3.646 26 27 0,684 1.706 1.703 1.701 1.699 1.697 26 0.684 0.683 0.683 0.683 27 28 2.048 3.047 3.408 28 29 30 2.045 2.042 3.038 3.030 3.396 3.385 29 30 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 31 0.682 0,853 1.309 31 0.682 0.682 0.682 0.682 0.853 0,853 0.852 0.852 1.309 1.308 1.307 1.306 32 32 33 33 34 35 34 35 1.306 1.305 1.304 1.304 1.303 2.131 2.129 2.127 2.125 2.123 2.719 2.715 36 0.681 0.681 0.681 0.681 0.681 0,852 0.851 0.851 0.851 0,851 1.052 1.051 1.051 1.050 1.050 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.434 2.431 2.429 2.426 2.423 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 2.712 2.708 2.704 38 39 40 40 0.849 0.848 0.847 0.846 0,846 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 2.678 2.660 2.648 2.639 2.632 2.109 0,679 0.679 0.678 0.678 0.677 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 2.403 50 2.099 2.093 2.088 2.084 2.390 2.381 2.374 2.368 60 60 70 70 80 80 90 1.987 90 1.660 1.646 1.645 3.174 3.098 3.090 100 0.677 0.675 0,674 0,845 0.842 0,842 1.042 1.037 1.290 1.282 1.282 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2,807 3.390 100 3.300 1000 3.291 z 1000 1.036 df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df
To test Ho: µ = 100 versus H,: H# 100, a simple random sample size of n= 20 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 = 105.2 and s = 8.7, compute the test statistic.
t= 2.673 (Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values.
The critical values are - 2.861, 2.861 .
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
(c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution?
(d) Will the researcher reject the null hypothesis?
A. The researcher will reject the null hypothesis since the test statistic is between the critical values.
B. The researcher will reject the null hypothesis since the test statistic is not between the critical values.
C. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.
D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.
Transcribed Image Text:To test Ho: µ = 100 versus H,: H# 100, a simple random sample size of n= 20 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 = 105.2 and s = 8.7, compute the test statistic. t= 2.673 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are - 2.861, 2.861 . (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? (d) Will the researcher reject the null hypothesis? A. The researcher will reject the null hypothesis since the test statistic is between the critical values. B. The researcher will reject the null hypothesis since the test statistic is not between the critical values. C. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values. D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman