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 E Carpeted 12.8 15.6 Uncarpeted 7 8.1 10.4 6.7 9 5.1 13.3 13.7 9.3 12 5.9 7.4 10.8 7 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: Hcarpet Pno carpet versus H1: Hcarpet Hno carpet Calculate the test statistic, to. to = 3.85 (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. t= O B. /2=|

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for
Full data set O
the number
f bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data
Carpeted
Uncarpeted
9
are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at
the a = 0.01 level of significance?
7
12.8
15.6
8.1
5.1
13.3
13.7
9.3
12
10.4
5.9
7.4
10.8
6.7
E Click the icon to view the Student t-distribution table.
What are the null and alternative hypotheses?
Ho: Hcarpet
Pno carpet versus H1: Hcarpet
>
Pno carpet
Calculate the test statistic, tn-
to = 3.85 (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.)
OA.
ty =
O B.
tu/2 =
Transcribed Image Text:A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for Full data set O the number f bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data Carpeted Uncarpeted 9 are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of significance? 7 12.8 15.6 8.1 5.1 13.3 13.7 9.3 12 10.4 5.9 7.4 10.8 6.7 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: Hcarpet Pno carpet versus H1: Hcarpet > Pno carpet Calculate the test statistic, tn- to = 3.85 (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.) OA. ty = O B. tu/2 =
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