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 x = 0.05 level of significance? Click the icon to view the Student's t-distribution table. Carpeted 9.8 7.7 11.1 14.2 14.5 15 12.3 14.3 Full data set Uncarpeted 11.5 9 12.4 3 11.2 3.5 3.9 12.1
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 x = 0.05 level of significance? Click the icon to view the Student's t-distribution table. Carpeted 9.8 7.7 11.1 14.2 14.5 15 12.3 14.3 Full data set Uncarpeted 11.5 9 12.4 3 11.2 3.5 3.9 12.1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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 x = 0.05 level
of significance?
Click the icon to view the Student's t-distribution table.
What are the null and alternative hypotheses?
versus H₁:
Ho:
Carpeted
9.8 7.7 12.3
11.1
14.2
14.3
14.5
15
Full data set
Uncarpeted
11.5
9
12.4 3
11.2
3.5
3.9
12.1
Transcribed Image Text:Student's t-distribution
□
Degrees of
Freedom
8
9
10
11
12
13
14
15
16
17
18
Area in
right tail
t-Distribution
Area in Right Tail
0.20
0.25
0.15
0.10
0.05 0.025
1.000 1.376 1.963 3.078 6.314 12.706 15.894
0.816 1.061 1.386 1.886 2.920 4.303 4.849
0.765 0.978 1.250 1.638 2.353 3.182 3.482
0.741 0.941 1.190 1.533 2.132 2.776 2.999
0.727 0.920 1.156 1.476 2.015 2.571 2.757
0.718 0.906 1.134 1.440 1.943 2.447 2.612
0.711 0.896 1.119 1.415 1.895 2.365 2.517
0.706 0.889 1.108 1.397 1.860 2.306 2.449
0.703 0.883 1.100 1.383 1.833 2.262 2.398
0.700 0.879 1.093 1.372 1.812 2.228 2.359
0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106
0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055
0.870 1.079 1.350 1.771 2.160
2.282 2.650 3.012
1.345 1.761 2.145 2.264 2.624 2.977
0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947
0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921
0.689
0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898
0.688 0.862 1.067 1.330 1.734 2.101 2.214
0.697
0.695
0.694
0.692 0.868 1.076
0.691
2.552 2.878
0.02
0.01
0.005 0.0025
31.821 63.657 127.321 318.309
6.965 9.925 14.089 22.327
4.541 5.841 7.453 10.215
3.747 4.604 5.598 7173
3.365 4.032 4.773
5.893
4.317
3.143 3.707
2.998 3.499
4.029
2.896 3.355 3.833
3.690
3.581
2.821
3.250
2.764 3.169
0.001 0.0005
636.619
31.599
12.924
5.208
4.785
4.501
4.297
4.144
3.497
4.025
3.428 3.930
3.372 3.852
3.326
3.787
3.286
3.733
3.252 3.686
3.222 3.646
3.197
3.610
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
I
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