To test Ho: u = 100 versus H,: u# 100, a simple random sample size of n 25 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 = 104.5 and s = 9.9, 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? O A. O B. 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 between the critical values. C. The researcher will reject the null hypothesis since the test statistic is not 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. Time Remain
To test Ho: u = 100 versus H,: u# 100, a simple random sample size of n 25 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 = 104.5 and s = 9.9, 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? O A. O B. 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 between the critical values. C. The researcher will reject the null hypothesis since the test statistic is not 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. Time Remain
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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Question
Transcribed Image Text:To test Ho: u = 100 versus H,:H# 100, a simple random sample size of n 25 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 = 104.5 and s = 9.9, 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?
OB.
Oc.
OA.
(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 between the critical values.
C. The researcher will reject the null hypothesis since the test statistic is not 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.
Time Remaining
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Transcribed Image Text:-distribution area in right tail
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
JP
1
1.000
1.376
12.706
1.963
1.386
3.078
1.886
6.314
15.894
31.821
6.965
4.541
3.747
3.365
63.657
127.321
318.309
636.619
31.599
12.924
8.610
6,869
1
0.816
1.061
2.920
4.303
4.849
9.925
5.841
4.604
4.032
14.089
22.327
10.215
7.173
5.893
2
3
4
0.765 0.978 1.250
1.638
1.533
3.182
2.776
2571
3
2.353
2.132
2.015
3.482
2.999
2.757
7.453
5.598
4.773
4
0.741 0.941
1.190
1.156
0.727 0.920
1.476
5
0.718
1.440
1.415
1.397
1.383
1.372
6.
0.906 1.134
0.896
0.889
0.883
0,879
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
4.587
0.711
8
6.
7
0.706
0.703
10
1.119
1.108
1.100
1.093
8
2.262
2.228
3.250
3.169
9
0.700
10
11
12
13
14
15
0.697
0.876
0.873
0.870
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
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
3.852
4.437
4.318
4.221
4.140
4,073
11
0,695
0.694
0.692
0.691
12
13
0.868
0.866
3.787
14
2249
3.733
15
16 0.690
17
0.689
0.688
0.688
0.687
0,865
0.863
0.862
1.071
1.069
1.067
1.066
1.064
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
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
4.015
3.965
3.922
3.883
3.850
16
17
18
18
19
0.861
0.860
20
19
3.552
20
21
22
0.686
0.686
0.859
0.858
0.858
0.857
1.063
1.061
1.060
1.323
1.321
1.319
1.318
1.316
1.721
1.717
2.080
2.074
2.069
2.189
2.183
2.177
2.172
2.167
2518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
3.135
3.527
3.505
3.819
3.792
3.768
3.745
3.725
21
3.119
3.104
3.091
3.078
23
24
25
0.685
0.685
0.684
1.714
1.711
1.708
3.485
3.467
3.450
22
23
1.059
2.064
2.060
2.797
0.856
1.058
24
2.787
26
27
28
0.684
0.684
0.856
25
1.058
1.057
1.056
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1.315
1.314
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1.703
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2.056
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2.158
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2.150
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2.479
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3.067
3.435
3.421
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3.396
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2.457
3.057
3.047
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28
29
30
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0.854
1.311
1.310
3.674
3.659
3.646
1.699
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29
30
3.385
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