MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
What are the null and altemative hypotheses?
Họ: Pcarpet Pno carpet versus H, Pcarpet Pno carpet
Calculate the test statistic, ty-
6-O (Round to two decimal places as needed.)
Now find the critical value. Select the correct choice below and fil in the answer box within your choloe.
(Round to three decimal places as needed.)
Do carpeted rooms have more bacteria than uncarpeted rooms at the a0.01 level of significance?
OA. Yes, because the test statistic is not in the oritical region.
OB. No, because the test statistic is in the critical region.
OC. No, because the test statistic is not in the critical region.
OD. Yes, because the tost statistic is in the critical region.
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Transcribed Image Text:What are the null and altemative hypotheses? Họ: Pcarpet Pno carpet versus H, Pcarpet Pno carpet Calculate the test statistic, ty- 6-O (Round to two decimal places as needed.) Now find the critical value. Select the correct choice below and fil in the answer box within your choloe. (Round to three decimal places as needed.) Do carpeted rooms have more bacteria than uncarpeted rooms at the a0.01 level of significance? OA. Yes, because the test statistic is not in the oritical region. OB. No, because the test statistic is in the critical region. OC. No, because the test statistic is not in the critical region. OD. Yes, because the tost statistic is in the critical region.
A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal
probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of
significance?
Full data set O
Carpeted
14.3
9.8
10.7 12.2
Uncarpeted
9.5
9.5
10.9
2.1
15
3
15.8
5.4
6.4
15.2
4.3
10.6
- X
Student t-distribution
Area in
right tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
1.000
0.816
0.765
0.741
1.376
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
6.314
2.920
2.353
2.132
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.32 1
14.089
7453
5.598
318.309 636.619
31.599
12.924
8.610
6.869
22.327
10.215
3.
7173
5.893
5
0.727
1.476
2.015
4.773
1.943
1.895
1.860
1.833
1.812
2.612
4.317
5.959
6
7
8
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
2.447
2.365
2.306
2.262
2.228
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
5.408
5.041
4.781
4.587
10
1.372
4.144
11
12
13
14
15
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
0.866
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
2.249
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
3.787
3.733
4.437
4.318
4.221
4.140
4.073
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
0.860
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
2.539
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
3.552
4.015
3.965
3.922
3.883
3.850
21
22
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
26
27
28
0.684
0.684
0.683
0.856
0.855
0.855
1.058
1.057
1.056
1.315
1.314
1.313
1.706
1.703
1.701
2.056
2.052
2.048
2.162
2.158
2.154
2.479
2.473
2.467
2.779
2.771
2.763
3.067
3.057
3.047
3.435
3.421
3.408
3.707
3.690
3.674
expand button
Transcribed Image Text:A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of significance? Full data set O Carpeted 14.3 9.8 10.7 12.2 Uncarpeted 9.5 9.5 10.9 2.1 15 3 15.8 5.4 6.4 15.2 4.3 10.6 - X Student t-distribution Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 6.314 2.920 2.353 2.132 12.706 4.303 3.182 2.776 2.571 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.32 1 14.089 7453 5.598 318.309 636.619 31.599 12.924 8.610 6.869 22.327 10.215 3. 7173 5.893 5 0.727 1.476 2.015 4.773 1.943 1.895 1.860 1.833 1.812 2.612 4.317 5.959 6 7 8 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.383 2.447 2.365 2.306 2.262 2.228 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 5.408 5.041 4.781 4.587 10 1.372 4.144 11 12 13 14 15 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 0.868 0.866 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 2.249 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 3.787 3.733 4.437 4.318 4.221 4.140 4.073 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 0.861 0.860 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 2.539 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 3.552 4.015 3.965 3.922 3.883 3.850 21 22 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 26 27 28 0.684 0.684 0.683 0.856 0.855 0.855 1.058 1.057 1.056 1.315 1.314 1.313 1.706 1.703 1.701 2.056 2.052 2.048 2.162 2.158 2.154 2.479 2.473 2.467 2.779 2.771 2.763 3.067 3.057 3.047 3.435 3.421 3.408 3.707 3.690 3.674
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