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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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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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