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 = 0.05 level of significance? Full data set D Carpeted Uncarpeted 5.9 10.9 8 5.2 7.1 1.2 10.9 10.2 11.4 10 13 6.9 10.9 6.6 6.4 7.7 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: V versus H Calculate the test statistic, to- th = (Round to two decimal places as needed.) Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta O B. w2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test statistic is not in the critical region. O B. Yes, because the test statistic is in the critical region. O C. Yes, because the test statistic is not in the critical region. O D. No, because the test statistic is in the critical region.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
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
1.376
1.963
1.386
1.250
1.190
1.156
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
1
1.000
0.816
0.765
0.741
0.727
3.078
1.886
1.638
1.533
1.476
15.894
4.849
3.482
2.999
2.757
127.321
14.089
7.453
5.598
4.773
318.309 636.619
22.327
10.215
7173
5.893
31.599
1.061
0.978
0.941
0.920
12.924
8.610
6.869
2.776
2.571
4.032
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
0.879
2.447
2.365
2.306
2.262
2.228
5.208
4.785
4.501
4.297
4.144
1.134
1.943
1.895
1.860
1.833
1.812
3.143
2.998
2.896
2.821
2.764
4.317
5.959
5.408
5.041
4.781
4.587
6.
7
1.440
1.415
1.119
1.108
1.100
1.093
1.397
1.383
1.372
2.612
2.517
2.449
2.398
2.359
3.707
3.499
3.355
3.250
4.029
3.833
3.690
3.581
9
10
3.169
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
1.363
1.356
1.350
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
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
1.345
1.341
2.145
1.074
2.131
2.120
2.110
2.101
2.093
2.086
4.015
3.965
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
2.235
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
2.583
2.567
2.552
2.539
2.528
3.252
3.222
3.197
3.174
3.153
0.865
0.863
0.862
0.861
0.860
2.224
2.214
2.205
2.921
2.898
2.878
2.861
2.845
3.686
3.646
3.610
3.579
3.552
3.922
3.883
3.850
2.197
0.686
0.686
0.685
0.685
0.684
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
2.080
2.074
2.069
2.064
2.060
2.518
2.508
2.500
2.492
2.485
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
3.819
21
22
23
24
25
0.859
0.858
0.858
0.857
0.856
1.721
1.717
1.714
1.711
1.708
2.189
2.183
2.177
2.172
2.167
2.831
2.819
2.807
2.797
2.787
3.792
3.768
3.745
3.725
26
27
28
29
0.684
0.684
0.683
0.683
0.856
0.855
0.855
0.854
0954
1.058
1.057
1.056
1.055
1.315
1.314
1.313
1.311
1.706
1.703
1.701
2.056
2.052
2.048
2.045
2.162
2.158
2.154
2.150
2.479
2.473
2.467
2.462
2.779
2.771
2.763
2.756
3.067
3.057
3.047
3.038
3.435
3.421
3.408
3.396
3 385
3.707
3.690
3.674
3.659
1.699
20
0 683
1055
1310
1607
2012
2147
2457
2750
2.030
3646
Transcribed Image Text: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 1.376 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 1 1.000 0.816 0.765 0.741 0.727 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 636.619 22.327 10.215 7173 5.893 31.599 1.061 0.978 0.941 0.920 12.924 8.610 6.869 2.776 2.571 4.032 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 2.447 2.365 2.306 2.262 2.228 5.208 4.785 4.501 4.297 4.144 1.134 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 2.764 4.317 5.959 5.408 5.041 4.781 4.587 6. 7 1.440 1.415 1.119 1.108 1.100 1.093 1.397 1.383 1.372 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 4.029 3.833 3.690 3.581 9 10 3.169 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 1.363 1.356 1.350 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 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 1.345 1.341 2.145 1.074 2.131 2.120 2.110 2.101 2.093 2.086 4.015 3.965 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 2.235 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 0.865 0.863 0.862 0.861 0.860 2.224 2.214 2.205 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 3.922 3.883 3.850 2.197 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 21 22 23 24 25 0.859 0.858 0.858 0.857 0.856 1.721 1.717 1.714 1.711 1.708 2.189 2.183 2.177 2.172 2.167 2.831 2.819 2.807 2.797 2.787 3.792 3.768 3.745 3.725 26 27 28 29 0.684 0.684 0.683 0.683 0.856 0.855 0.855 0.854 0954 1.058 1.057 1.056 1.055 1.315 1.314 1.313 1.311 1.706 1.703 1.701 2.056 2.052 2.048 2.045 2.162 2.158 2.154 2.150 2.479 2.473 2.467 2.462 2.779 2.771 2.763 2.756 3.067 3.057 3.047 3.038 3.435 3.421 3.408 3.396 3 385 3.707 3.690 3.674 3.659 1.699 20 0 683 1055 1310 1607 2012 2147 2457 2750 2.030 3646
Full data set D
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 = 0.05 level of
significance?
Carpeted
11.4
10.2
Uncarpeted
10.9
10.9
5.9
10
13
6.9
10.9
8
5.2
6.6
6.4
7.7
7.1
1.2
Click the icon to view the Student t-distribution table.
What are the null and alternative hypotheses?
Ho:
versus H1:
Calculate the test statistic, to.
to = (Round to two decimal places as needed.)
%D
Now find the critical value. Select the correct choice below and fill in the answer box within your choice.
(Round to three decimal places as needed.)
O A. ta =
B. ta/2=
Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance?
O A. No, because the test statistic is not in the critical region.
B. Yes, because the test statistic is in the critical region.
C. Yes, because the test statistic is not in the critical region.
D. No, because the test statistic is in the critical region.
Transcribed Image Text:Full data set D 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 = 0.05 level of significance? Carpeted 11.4 10.2 Uncarpeted 10.9 10.9 5.9 10 13 6.9 10.9 8 5.2 6.6 6.4 7.7 7.1 1.2 Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: versus H1: Calculate the test statistic, to. to = (Round to two decimal places as needed.) %D Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta = B. ta/2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test statistic is not in the critical region. B. Yes, because the test statistic is in the critical region. C. Yes, because the test statistic is not in the critical region. D. No, because the test statistic is in the critical region.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman