What is the appropriate conclusion for this test? OA. Reject Ho and conclude that the average content of containers of a particular lubricant is significantly different from 10 ounces. OB. Do not reject Ho and conclude that the average content of containers of a particular lubricant is not significantly different from 10 ounces. OC. Reject Ho and conclude that the average content of containers of a particular lubricant is not significantly different from 10 ounces. OD. Do not reject Ho and conclude that the average content of containers of a particular lubricant is significantly different from 10 ounces.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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: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
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.
○ C. Ho μ=10
H₁μ>10
○ F. Ho: μ>10
H₁ = 10
OA. Ho: 10
H₁ =10
D. Ho μ=10
Η μ < 10
O B. Ho H<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. t -2.26 or t> 2.26
B. t>
O c. t<
Find the test statistic.
- 1.65 (Round to two decimal places as needed.)
What is the appropriate conclusion for this test?
A. Reject Ho and conclude that the average content of containers of a particular lubricant is significantly different from 10 ounces.
B. Do not reject Ho and conclude that the average content of containers of a particular lubricant is not significantly different from 10 ounces.
C. Reject Ho and conclude that the average content of containers of a particular lubricant is not significantly different from 10 ounces.
D. Do not reject Ho and conclude that the average content of containers of a particular lubricant is significantly different from 10 ounces.
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. ○ C. Ho μ=10 H₁μ>10 ○ F. Ho: μ>10 H₁ = 10 OA. Ho: 10 H₁ =10 D. Ho μ=10 Η μ < 10 O B. Ho H<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. t -2.26 or t> 2.26 B. t> O c. t< Find the test statistic. - 1.65 (Round to two decimal places as needed.) What is the appropriate conclusion for this test? A. Reject Ho and conclude that the average content of containers of a particular lubricant is significantly different from 10 ounces. B. Do not reject Ho and conclude that the average content of containers of a particular lubricant is not significantly different from 10 ounces. C. Reject Ho and conclude that the average content of containers of a particular lubricant is not significantly different from 10 ounces. D. Do not reject Ho and conclude that the average content of containers of a particular lubricant is significantly different from 10 ounces.
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