To test Ho: u= 100 versus H,:p# 100, a simple random sample size of n= 23 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= 104.4 and s=9.4, compute the test statistic. t3= O (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. (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? OA. OB. Oc. (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is not between the critical values. OC. The researcher will reject the null hypothesis since the test statistic is between the critical values. O D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.
To test Ho: u= 100 versus H,:p# 100, a simple random sample size of n= 23 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= 104.4 and s=9.4, compute the test statistic. t3= O (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. (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? OA. OB. Oc. (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is not between the critical values. OC. The researcher will reject the null hypothesis since the test statistic is between the critical values. O D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
19
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
31.821
6.965
636.619
31.599
1.000
1.376
1.963
3.078
6.314
12.706
4.303
15.894
63.657
9.925
127.321
318.309
22.327
1
1.061
0.978
0.941
0.920
1.386
1.250
1.190
1.156
2.920
2.353
2.132
2.015
4.849
3.482
2.999
2.757
2
0.816
1.886
14.089
2
3
0.765
4
0.741
5
0.727
1.638
1.533
1.476
3.182
2.776
2571
4.541
3.747
5.841
4.604
4.032
7.453
5.598
4.773
10.215
7.173
5,893
12.924
8.610
3
4
3.365
6.869
3.143
2.998
2.896
2.821
2.764
5.959
5.408
5.041
1.134
1.440
1.943
1.895
1.860
1.833
1.812
2.447
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
0.718 0.906
0.711
8 0.706
0.703
0.700
0,896
0.889
0.883
0.879
2.612
2.517
2.449
2.398
2.359
5.208
4.785
4.501
4.297
1.119
1.415
2.365
2.306
2.262
2.228
7
7
1.397
1.100 1.383
1.093
1.108
8
4.781
4.587
9
9
10
1.372
4.144
10
0.697
0.695 0.873
0.694
1.088
1.083
1.079
1.076
4.437
4.318
4.221
4.140
0.876
1.363
1.356
1.350
1.345
1.341
1.796
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.718
2.681
2.650
11
3.106
3.497
4.025
11
1.782
1.771
1.761
1.753
3.055
3.012
2.977
12
13
3.428
3.372
3.930
3.852
12
13
0.870
0.868
0.692
0.691
2.264
2.624
2.602
3.326
3.286
14
3.787
14
15
0.866
1.074
2.249
2.947
3.733
4.073
15
2.583
2.567
2.552
2.539
2528
1.071 1.337
1.746
1.069 1.333 1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.235
2.224
2.214
2.205
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
4.015
3.965
3.922
3.883
3.850
16
17
0.690 0.865
0.863
0.862
0.861
0,860
16
17
18
0.689
0.688
3.610
3.579
3.552
18
1.067 1.330
1.066
1.328
1.325
19
0.688
19
20
0.687
1.064
2.086
2.197
20
0.686
0.686
0.685
0.859
0.858
0.858
0857
1.063 1.323
21
22
23
1.721
1.717
1.714
2.080
2.074
2.069
2.064
2.189
2.183
2.177
2518
2.508
2,500
2.492
2.485
2.831
2.819
2.807
2.797
3.135
3.119
3.104
3.091
3.527
3.505
3.485
3.467
3.819
3.792
3.768
3.745
21
22
23
1.061
1.321
1.060 1.319
1.059
0.685
0,684
1.318
1.316
1.711
1.708
2.172
2.167
24
24
25
0.856
1.058
2.060
2.787
3.078
3.450
3.725
25
2.162
2.158
2.479
2.473
2.467
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
26
0,684
0,684
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.706
1.703
1.701
2.056
2.052
2.048
3435
3.707
3.690
3.674
3,659
3.646
26
27
28
3.421
3.408
27
28
29
30
1.313
1.311
1.310
1.699
1.697
2.045
2.042
2.154
2.150
2.147
2.462
2.457
3.038
3.030
3.396
3.385
29
30
0.853
0,853
1.696
1.694
1.692
1.691
1.690
31
32
33
0.682
0.682
1.054
1.054
1.053
1.309
1.309
1.308
2.040
2.037
2.035
2.144
2.141
2.453
2.449
2.744
2.738
3.022
3.015
3.008
3.375
3.365
3.356
3.633
3.622
3.611
31
32
33
34
35
0.682
0.682
0.682
0.853
0,852
0.852
1.052
1.052
1.307
1.306
2.032
2.030
2.138
2.136
2.133
2.445
2.441
2.438
2.733
2.728
2.724
3.002
2.996
3.348
3.340
3.601
3.591
34
35
0.681
0.681
1.688
2.719
2.715
2.990
2.985
2.980
2.976
36
37
0.852
1.052
1.306
1.051 1.305 1.687
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.434
2.431
2.429
2.426
2.423
3.333
3.326
3.582
3.574
3.566
3.558
3.551
36
37
0.851
0.851
0.851
0,851
1.051 1.304 1.686
1.050 1.304 1.685
1.050 1.303
2.712
2.708
2.704
3.319
3.313
3.307
38
39
0.681
0,681
0.681
38
39
40
40
1.684
2.971
3.496
3.460
3.435
3.416
50
0.679
0.849
1.047 1.299
1.045 1.296 1.671
1.676
2.009
2.000
2.109
2.099
2.403
2.390
2.678
2.660
2.937
3.261
3.232
50
2.915
2,899
2.887
2.878
60
0.679
0.848
0.678 0.847
0.678
60
70
80
1.044 1.294 1.667
1.043 1.292
1.042 1.291
1.664
1.662
1.994
1.990
1.987
2.093
2.088
2.084
2.381
2.374
2.368
2.648
2.639
2.632
3.211
3.195
3.183
70
80
0.846
90
0.677
0,846
3.402
90
0.677
0.675
0.674
0.845
0,842
0,842
1.660
1.646
1.645
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
100
1.042 1.290
1.037
1.036
1.984
1.962
1.960
3.174
3.098
3.090
3.390 100
1.282
1.282
1000
3.300 1000
3.291 z
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:To test Ho: µ = 100 versus H1: µ± 100, a simple random sample size of n = 23 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 = 104.4 and s = 9.4, compute the test statistic.
t=
(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.
(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?
A.
В.
С.
(d) Will the researcher reject the null hypothesis?
O A. There is not sufficient evidence for the researcher to 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. The researcher will reject the null hypothesis since the test statistic is between the critical values.
D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.
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