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. Yes, because n ≥ 30. B. Yes, because the sample is random. C. No, because n ≥ 30. OD. No, because the test is two-tailed. (b) If x= 102.0 and s=5.7, compute the test statistic. The test statistic is to = (Round to two decimal places as needed.) ...
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. Yes, because n ≥ 30. B. Yes, because the sample is random. C. No, because n ≥ 30. OD. No, because the test is two-tailed. (b) If x= 102.0 and s=5.7, compute the test statistic. The test statistic is to = (Round to two decimal places as needed.) ...
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
Related questions
Question
![To test Ho = 105 yersus H₁: #105 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. Yes, because n ≥ 30.
B. Yes, because the sample is random.
C. No, because n ≥ 30
OD. No, because the test is two-tailed.
(b) If x= 102.0 and s=5.7, 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%2F484f5395-d9e0-4072-8869-6029c0e5cda0%2F85f01dc5-4fc5-4cd9-bf92-51f6403ea78a%2Fhcd3jlf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:To test Ho = 105 yersus H₁: #105 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. Yes, because n ≥ 30.
B. Yes, because the sample is random.
C. No, because n ≥ 30
OD. No, because the test is two-tailed.
(b) If x= 102.0 and s=5.7, compute the test statistic.
The test statistic is to = (Round to two decimal places as needed.)
...
![t-Distribution Area in Right Tail
0
0.25
0.20 0.15
1.000 1.376 1.963 3.078
2
0.816
1.061 1.386
1.250
3
0.765
0.978
4 0.741
0.941
1.190
5
0.727
1.156
6
0.920
0.718 0.906 1.134 1.440 1.943
0.896 1.119
0.711
1.415 1.895
0.706
0.889
1.108
1.397
1.860
1.100
1.383
1.833
0.879 1.093
1.372 1.812
0.703 0.883
0.700
0.697 0.876
0.695 0.873
0.870
0.692 0.868
0.691
0.866
df
8
9
11
12
13 0.694
14
15
16
17
18
19
20
21
22
0.690 0.865
0.689 0.863
0.688 0.862
0.688 0.861
0.687 0.860
0.686 0.859
0.686
0.858
1.088 1.363 1.796
1.083
1.356
1.782
1.079 1.350
1.771
1.076 1.345
1.761
1.074
1.341
1.753
0.10 0.05
0.025
6.314 12.706
1.886 2.920 - 4.303
3.182
3.482
1.638 2.353
2.132
1.533
2.776 2.999
1.476 2015
2571
2.757
1,071 1.337 1.746
1.333 1.740
1.069
1.067
1.330
1.734
1.066
1.328
1.729
1.064
1.325
1.725
1.063
1.061
1-Distribution
Area in Right Tail
1.323 1.721
1.321
1.717
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2,120
2.110
2.101
2.093
2.086
2.080
2.074
0.02
15.894 31.821
4.849
6.965
4.541
3.747
3.365
2.612
3.143
2.517 2.998
2.449
2.896
2.398 2.821
2.359
2.764
2.328
2.718
2.303 2.681
2.282
2.650
2.264 2.624
2.249
2.602
2.189
2.183
2012
0.005
63.657
9.925
2518
2.508
5.841
4.604
4.032
2.235
2.583
2.921
2.224 2.567 2.898
2.214
2.552 2.878
2.205
2.539
2.861
2.197
2528
2.845
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.831
2.819
0.0025
127.321
14.089
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
0.001
318.309
22.327
10.215
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.505
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.015
3.965
3.922
3,883
3.850
df
3.819
3.792
12345 CDXARMARA BAADA
4.437
4.318
4.221
4.140
4.073 15
8
9
6
10
11
12
13
14
16
17
18
19
20
21
22
I
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F484f5395-d9e0-4072-8869-6029c0e5cda0%2F85f01dc5-4fc5-4cd9-bf92-51f6403ea78a%2F4e1dt1i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:t-Distribution Area in Right Tail
0
0.25
0.20 0.15
1.000 1.376 1.963 3.078
2
0.816
1.061 1.386
1.250
3
0.765
0.978
4 0.741
0.941
1.190
5
0.727
1.156
6
0.920
0.718 0.906 1.134 1.440 1.943
0.896 1.119
0.711
1.415 1.895
0.706
0.889
1.108
1.397
1.860
1.100
1.383
1.833
0.879 1.093
1.372 1.812
0.703 0.883
0.700
0.697 0.876
0.695 0.873
0.870
0.692 0.868
0.691
0.866
df
8
9
11
12
13 0.694
14
15
16
17
18
19
20
21
22
0.690 0.865
0.689 0.863
0.688 0.862
0.688 0.861
0.687 0.860
0.686 0.859
0.686
0.858
1.088 1.363 1.796
1.083
1.356
1.782
1.079 1.350
1.771
1.076 1.345
1.761
1.074
1.341
1.753
0.10 0.05
0.025
6.314 12.706
1.886 2.920 - 4.303
3.182
3.482
1.638 2.353
2.132
1.533
2.776 2.999
1.476 2015
2571
2.757
1,071 1.337 1.746
1.333 1.740
1.069
1.067
1.330
1.734
1.066
1.328
1.729
1.064
1.325
1.725
1.063
1.061
1-Distribution
Area in Right Tail
1.323 1.721
1.321
1.717
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2,120
2.110
2.101
2.093
2.086
2.080
2.074
0.02
15.894 31.821
4.849
6.965
4.541
3.747
3.365
2.612
3.143
2.517 2.998
2.449
2.896
2.398 2.821
2.359
2.764
2.328
2.718
2.303 2.681
2.282
2.650
2.264 2.624
2.249
2.602
2.189
2.183
2012
0.005
63.657
9.925
2518
2.508
5.841
4.604
4.032
2.235
2.583
2.921
2.224 2.567 2.898
2.214
2.552 2.878
2.205
2.539
2.861
2.197
2528
2.845
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.831
2.819
0.0025
127.321
14.089
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
0.001
318.309
22.327
10.215
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.505
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.015
3.965
3.922
3,883
3.850
df
3.819
3.792
12345 CDXARMARA BAADA
4.437
4.318
4.221
4.140
4.073 15
8
9
6
10
11
12
13
14
16
17
18
19
20
21
22
I
1
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