A researcher wanted 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 O Uncarpeted 11 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 Carpeted 13.5 6 14.5 11.2 12.8 12.5 12.4 14.1 12.7 14.3 5.3 13.4 7.3 10.2 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Họ: Hcarpet = Pno carpet versus H,: Hcarpet Pno carpet Calculate the test statistic, to. to = 0.30 (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/2= YB. t= 1.761 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. OC. No, because the test statistic is in the critical region. O D. Yes, because the test statistic is not in the critical region.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 p
Carpeted
Uncarpeted
13.5
6
12.5
14.1
11
14.3
14.5
12.7
7.3
12.4
5.3
13.4
11.2
12.8
10.2
E Click the icon to view the Student t-distribution table.
What are the null and alternative hypotheses?
Họ: Hcarpet
Hno carpet versus H,: Hcarpet
Hno carpet
Calculate the test statistic, to.
to = 0.30 (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.)
A. tu/2=
O B.
ta = 1.761
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.
OC. No, because the test statistic is in the critical region.
O D. Yes, because the test statistic is not in the critical region.
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 = 0.05 level of significance? Full data set p Carpeted Uncarpeted 13.5 6 12.5 14.1 11 14.3 14.5 12.7 7.3 12.4 5.3 13.4 11.2 12.8 10.2 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Họ: Hcarpet Hno carpet versus H,: Hcarpet Hno carpet Calculate the test statistic, to. to = 0.30 (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.) A. tu/2= O B. ta = 1.761 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. OC. No, because the test statistic is in the critical region. O D. Yes, because the test statistic is not in the critical region.
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