Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10 containers are 9.6, 9.5, 9.3, 10.5, 9.9, 9.5, 9.9, 9.5, 10.2, and 10.1 liters. Use a 0.05 level of significance and assume that the distribution of Click here to view page 1 of the table of critical values of the t-distribution. contents is normal. Click here to view page 2 of the table of critical values of the t-distribution. identify the null and alternative hypotheses. OA. Ho: 10 H₁ =10 D. H₁ = 10 H₁: <10 B. Ho: <10 H₁ =10 E. Ho: H=10 H₁:10 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. Round to two decimal places as needed.) A. 1< -2.26 ort>2.26 OB. t> Oc. t Find the test statistic (Round to two decimal places as needed.) ○ C. Ho: H=10 H₁: >10 OF. Ho: >10 H₁ =10
Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10 containers are 9.6, 9.5, 9.3, 10.5, 9.9, 9.5, 9.9, 9.5, 10.2, and 10.1 liters. Use a 0.05 level of significance and assume that the distribution of Click here to view page 1 of the table of critical values of the t-distribution. contents is normal. Click here to view page 2 of the table of critical values of the t-distribution. identify the null and alternative hypotheses. OA. Ho: 10 H₁ =10 D. H₁ = 10 H₁: <10 B. Ho: <10 H₁ =10 E. Ho: H=10 H₁:10 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. Round to two decimal places as needed.) A. 1< -2.26 ort>2.26 OB. t> Oc. t Find the test statistic (Round to two decimal places as needed.) ○ C. Ho: H=10 H₁: >10 OF. Ho: >10 H₁ =10
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 36E
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I need help with test statistic number please
Transcribed Image Text:Critical Values of the t-Distribution
Critical Values of the t-Distribution
a
a
0.40
0.30
0.20
0.15
0.10
0.05
0.025
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
1
15.894
21.205
31.821
42.433
63.656
127.321
636.578
2
0.289
0.617
1.061
1.386
1.886
2.920
4.303
2
4.849
5.643
6.965
8.073
9.925
14.089
31.600
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
3
3.482
3.896
4.541
5.047
5.841
7.453
12.924
4
0.271
0.569
0.941
1.190
1.533
2.132
2.776
4
2.999
3.298
3.747
4.088
4.604
5.598
8.610
5
0.267
0.559
0.920
1.156
1.476
2.015
2.571
5
2.757
3.003
3.365
3.634
4.032
4.773
6.869
в
0.265
0.553
0.906
1.134
1.440
1.943
2.447
6
2.612
2.829
3.143
3.372
3.707
4.317
5.959
7
0.263
0.549
0.896
1.119
1.415
1.895
2.365
7
2.517
2.715
2.998
3.203
3.499
4.029
5.408
8
0.262
0.546
0.889
1.108
1.397
1.860
2.306
8
2.449
2.634
2.896
3.085
3.355
3.833
5.041
9
0.261
0.543
0.883
1.100
1.383
1.833
2.262
9
2.398
2.574
2.821
2.998
3.250
3.690
4.781
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
10
2.359
2.527
2.764
2.932
3.169
3.581
4.587
11
0.260
0.540
0.876
1.088
1.363
1.796
2.201
11
2.328
2.491
2.718
2.879
3.106
3.497
4.437
12
0.259
0.539
0.873
1.083
1.356
1.782
2.179
12
2.303
2.461
2.681
2.836
3.055
3.428
4.318
13
0.259
0.538
0.870
1.079
1.350
1.771
2.160
13
2.282
2.436
2.650
2.801
3.012
3.372
4.221
14
0.258
0.537
0.868
1.076
1.345
1.761
2.145
14
2.264
2.415
2.624
2.771
2.977
3.326
4.140
15
0.258
0.536
0.866
1.074
1.341
1.753
2.131
15
2.249
2.397
2.602
2.746
2.947
3.286
4.073
16
0.258
0.535
0.865
1.071
1.337
1.746
2.120
16
2.235
2.382
2.583
2.724
2.921
3.252
4.015
17
0.257
0.534
0.863
1.069
1.333
1.740
2.110
17
2.224
2.368
2.567
2.706
2.898
3.222
3.965
18
0.257
0.534
0.862
1.067
1.330
1.734
2.101
18
2.214
2.356
2.552
2.689
2.878
3.197
3.922
19
0.257
0.533
0.861
1.066
1.328
1.729
2.093
2.205
2.346
2.539
2.674
2.861
3.174
3.883
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
20
2.197
2.336
2.528
2.661
2.845
3.153
3.850
21
0.257
0.532
0.859
1.063
1.323
1.721
2.080
21
2.189
2.328
2.518
2.649
2.831
3.135
3.819
22
0.256
0.532
0.858
1.061
1.321
1.717
2.074
22
2.183
2.320
2.508
2.639
2.819
3.119
3.792
23
0.256
0.532
0.858
1.060
1.319
1.714
2.069
23
2.177
2.313
2.500
2.629
2.807
3.104
3.768
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
24
2.172
2.307
2.492
2.620
2.797
3.091
3.745
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
25
2.167
2.301
2.485
2.612
2.787
3.078
3.725
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
27
0.256
0.531
0.855
1.057
1.314
1.703
2.052
28
0.256
0.530
0.855
1.056
1.313
1.701
2.048
-
29
0.256
0.530
0.854
1.055
1.311
1.699
2.045
30
0.256
0.530
0.854
1.055
1.310
1.697
2.042
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
60
0.254
0.527
0.848
1.045
1.296
1.671
2.000
120
0.254
0.526
0.845
1.041
1.289
1.658
1.980
8"
0.253
0.524
0.842
1.036
1.282
1.645
1.960
e
0.40
0.30
0.20
0.15
0.10
- <>
120
888 988
26
2.162
2.296
2.479
2.605
2.779
3.067
3.707
27
2.158
2.291
2.473
2.598
2.771
3.057
3.689
28
2.154
2.286
2.467
2.592
2.763
3.047
3.674
2.150
2.282
2.462
2.586
2.756
3.038
3.660
30
2.147
2.278
2.457
2.581
2.750
3.030
3.646
40
2.123
2.250
2.423
2.542
2.704
2.971
3.551
60
2.099
2.223
2.390
2.504
2.660
2.915
3.460
2.076
2.196
2.358
2.468
2.617
2.860
3.373
2.054
2.170
2.326
2.432
2.576
2.807
3.290
0.05
0.025
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
a
A
a
C
Transcribed Image Text:Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10 containers are 9.6, 9.5, 9.3, 10.5, 9.9, 9.5, 9.9, 9.5, 10.2, and 10.1 liters. Use a 0.05 level of significance and assume that the distribution of
contents is normal.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
Identify the null and alternative hypotheses.
○ A. Ho: μ*10
H₁ =10
○ D. Ho: H=10
B. Ho: <10
H₁ =10
E. Ho: H=10
H₁: <10
H₁:10
Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
A. t< -2.26 ort> 2.26
○ B. t>
○ C. t<
Find the test statistic.
(Round to two decimal places as needed.)
C. H₁: H=10
H₁: >10
○ F. Ho: >10
H₁ =10
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