To test Ho: µ = 103 versus H4: µ# 103 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. B. Yes, because n2 30. C. Yes, because the sample is random. D. No, because the test is two-tailed. (b) If x = 99.8 and s = 5.9, compute the test statistic. The test statistic is to = |. (Round to two decimal places as needed.)
To test Ho: µ = 103 versus H4: µ# 103 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. B. Yes, because n2 30. C. Yes, because the sample is random. D. No, because the test is two-tailed. (b) If x = 99.8 and s = 5.9, compute the test statistic. The test statistic is to = |. (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
Related questions
Question
![To test Ho: µ= 103 versus H,: µ# 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below.
Click here to view the t-Distribution Area in Right Tail.
(a) Does the population have to be normally distributed to test this hypothesis? Why?
A. No, because n2 30.
B. Yes, because n2 30.
C. Yes, because the sample is random.
D. No, because the test is two-tailed.
(b) If x = 99.8 and s = 5.9, compute the test statistic.
The test statistic is to =. (Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2d4d80-cdb0-43d9-af03-99b246cbf538%2Fea7c77b9-6006-4be3-8328-0b88b2af32cc%2Fkw4g3jh_processed.png&w=3840&q=75)
Transcribed Image Text:To test Ho: µ= 103 versus H,: µ# 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below.
Click here to view the t-Distribution Area in Right Tail.
(a) Does the population have to be normally distributed to test this hypothesis? Why?
A. No, because n2 30.
B. Yes, because n2 30.
C. Yes, because the sample is random.
D. No, because the test is two-tailed.
(b) If x = 99.8 and s = 5.9, compute the test statistic.
The test statistic is to =. (Round to two decimal places as needed.)
![t-Distribution Area in Right Tail
t-Distribution
Area 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
15.894
4.849
31.821
6.965
4.541
3.747
63.657
9.925
5.841
4.604
4.032
318.309
1.000
0.816
1.376
1.963
3.078
6.314
127.321
636.619
1
2.920
2.353
2.132
2.015
1.886
4.303
3.182
2.776
2.571
1.061
31.599
1.386
1.250
1.190
14.089
7.453
5.598
22.327
2
0.765
0.741
0.978
0.941
1.638
1.533
1.476
3.482
2.999
2.757
10.215
7.173
5.893
12.924
8.610
3
0.727
0.920
1.156
3.365
4.773
6.869
6.
5.959
5.408
5.041
0.718
1.943
1.895
1.860
1.833
1.812
3.707
4.317
4.029
3.833
5.208
4.785
4.501
4.297
4.144
0.906
1.134
1.119
1.108
1.440
2.447
2.612
3.143
6.
2.517
1.415
1.397
1.383
1.372
2.365
2.306
2.262
0.896
0.889
7
0.711
0.706
2.998
2.896
3.499
3.355
3.250
7
8
2.449
3.690
3.581
0.703
0.883
1.100
2.398
2.359
9.
2.821
4.781
9
10
0.700
0.879
1.093
2.228
2.764
3.169
4.587
10
0.697
0.695
0.694
0.692
4.025
3.930
3.852
0.876
2.201
2.179
2.160
2.145
2.718
2.681
2.650
11
1.088
1.363
1.796
3.497
2.328
2.303
2.282
2.264
2.249
3.106
3.055
3.012
2.977
2.947
4.437
4.318
4.221
4.140
11
12
13
0.873
0.870
0.868
1.083
1.079
1.076
1.356
1.350
1.782
1.771
3.428
3.372
3.326
12
13
1.345
1.341
14
1.761
1.753
2.624
3.787
14
15
15
0.691
0.866
1.074
2.131
2.602
3.286
3.733
4.073
3.252
3.222
0.865
0.863
0.862
0.861
1.071
1.069
1.067
1.337
1.333
2.583
2.567
2.552
2.539
2.528
16
17
0.690
0.689
1.746
1.740
1.734
2.120
2.110
2.235
2.224
2.921
2.898
3.686
3.646
3.610
3.579
4.015
3.965
16
17
1.330
1.328
1.325
2.878
2.861
2.845
18
0.688
2.101
2.214
3.197
3.922
18
3.883
3.850
19
0.688
1.066
1.729
2.093
2.086
2.205
2.197
3.174
19
20
0.687
0.860
1.064
1.725
3.153
3.552
20
1.721
1.717
0.686
0.686
0.685
0.685
0.859
0.858
0.858
1.063
1.061
1.060
1.059
1.058
3.135
3.119
3.104
3.091
2.080
2.074
2.189
2.183
2.518
2.508
2.500
2.831
2.819
2.807
2.797
2.787
3.527
3.505
3.485
3.467
21
22
1.323
1.321
3.819
3.792
21
22
23
1.319
1.714
2.069
2.177
3.768
23
1.711
1.708
2.172
2.167
3.745
3.725
24
0.857
0.856
1.318
2.064
2.492
24
25
0.684
1.316
2.060
2.485
3.078
3.450
25
0.856
0.855
0.855
0.854
3.707
3.690
3.674
0.684
1.315
1.706
1.703
1.701
2.056
2.162
3.067
3.057
3.047
3.038
2030.
26
1.058
2.479
3.435
2.779
2.771
2.763
2.756
26
1.314
1.313
1.311
2.473
2.467
27
0.684
1.057
2.052
2.158
2.154
3.421
27
28
1.056
0.683
0.683
2.048
3.408
28
29
1.055
1.699
2.045
2.150
2 147.
2.462
2 457.
3.396
2. 205
3.659
29
20
0682
1055
1210
1607
2012
2750
2646
20
123](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2d4d80-cdb0-43d9-af03-99b246cbf538%2Fea7c77b9-6006-4be3-8328-0b88b2af32cc%2Filicfrm_processed.png&w=3840&q=75)
Transcribed Image Text:t-Distribution Area in Right Tail
t-Distribution
Area 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
15.894
4.849
31.821
6.965
4.541
3.747
63.657
9.925
5.841
4.604
4.032
318.309
1.000
0.816
1.376
1.963
3.078
6.314
127.321
636.619
1
2.920
2.353
2.132
2.015
1.886
4.303
3.182
2.776
2.571
1.061
31.599
1.386
1.250
1.190
14.089
7.453
5.598
22.327
2
0.765
0.741
0.978
0.941
1.638
1.533
1.476
3.482
2.999
2.757
10.215
7.173
5.893
12.924
8.610
3
0.727
0.920
1.156
3.365
4.773
6.869
6.
5.959
5.408
5.041
0.718
1.943
1.895
1.860
1.833
1.812
3.707
4.317
4.029
3.833
5.208
4.785
4.501
4.297
4.144
0.906
1.134
1.119
1.108
1.440
2.447
2.612
3.143
6.
2.517
1.415
1.397
1.383
1.372
2.365
2.306
2.262
0.896
0.889
7
0.711
0.706
2.998
2.896
3.499
3.355
3.250
7
8
2.449
3.690
3.581
0.703
0.883
1.100
2.398
2.359
9.
2.821
4.781
9
10
0.700
0.879
1.093
2.228
2.764
3.169
4.587
10
0.697
0.695
0.694
0.692
4.025
3.930
3.852
0.876
2.201
2.179
2.160
2.145
2.718
2.681
2.650
11
1.088
1.363
1.796
3.497
2.328
2.303
2.282
2.264
2.249
3.106
3.055
3.012
2.977
2.947
4.437
4.318
4.221
4.140
11
12
13
0.873
0.870
0.868
1.083
1.079
1.076
1.356
1.350
1.782
1.771
3.428
3.372
3.326
12
13
1.345
1.341
14
1.761
1.753
2.624
3.787
14
15
15
0.691
0.866
1.074
2.131
2.602
3.286
3.733
4.073
3.252
3.222
0.865
0.863
0.862
0.861
1.071
1.069
1.067
1.337
1.333
2.583
2.567
2.552
2.539
2.528
16
17
0.690
0.689
1.746
1.740
1.734
2.120
2.110
2.235
2.224
2.921
2.898
3.686
3.646
3.610
3.579
4.015
3.965
16
17
1.330
1.328
1.325
2.878
2.861
2.845
18
0.688
2.101
2.214
3.197
3.922
18
3.883
3.850
19
0.688
1.066
1.729
2.093
2.086
2.205
2.197
3.174
19
20
0.687
0.860
1.064
1.725
3.153
3.552
20
1.721
1.717
0.686
0.686
0.685
0.685
0.859
0.858
0.858
1.063
1.061
1.060
1.059
1.058
3.135
3.119
3.104
3.091
2.080
2.074
2.189
2.183
2.518
2.508
2.500
2.831
2.819
2.807
2.797
2.787
3.527
3.505
3.485
3.467
21
22
1.323
1.321
3.819
3.792
21
22
23
1.319
1.714
2.069
2.177
3.768
23
1.711
1.708
2.172
2.167
3.745
3.725
24
0.857
0.856
1.318
2.064
2.492
24
25
0.684
1.316
2.060
2.485
3.078
3.450
25
0.856
0.855
0.855
0.854
3.707
3.690
3.674
0.684
1.315
1.706
1.703
1.701
2.056
2.162
3.067
3.057
3.047
3.038
2030.
26
1.058
2.479
3.435
2.779
2.771
2.763
2.756
26
1.314
1.313
1.311
2.473
2.467
27
0.684
1.057
2.052
2.158
2.154
3.421
27
28
1.056
0.683
0.683
2.048
3.408
28
29
1.055
1.699
2.045
2.150
2 147.
2.462
2 457.
3.396
2. 205
3.659
29
20
0682
1055
1210
1607
2012
2750
2646
20
123
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