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A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of Full data set O Carpeted 14.6 10.6 Uncarpeted 11.3 9.6 rooms. 14.3 4.8 8.8 13.8 13.8 4.4 9.5 9.8 13.1 6.4 9.1 13.6 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a= 0.01 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. O A. Ho: 41 =#2 H1: 41 H2 O B. Ho: H1< H2 H1: H1 > H2 O C. Ho: H1 = H2 H1: H1> H2 O D. Ho: H1 = H2 H1: 41< H2 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. O A. Reject Ho. There is significant evidence at the a= 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O B. Do not reject Ho. There is significant evidence at the a = 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O C. Do not reject Ho. There is not significant evidence at the a= 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O D. Reject Ho. There is not significant evidence at the a= 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of Full data set O Carpeted 14.6 10.6 Uncarpeted 11.3 9.6 rooms. 14.3 4.8 8.8 13.8 13.8 4.4 9.5 9.8 13.1 6.4 9.1 13.6 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a= 0.01 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. O A. Ho: 41 =#2 H1: 41 H2 O B. Ho: H1< H2 H1: H1 > H2 O C. Ho: H1 = H2 H1: H1> H2 O D. Ho: H1 = H2 H1: 41< H2 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. O A. Reject Ho. There is significant evidence at the a= 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O B. Do not reject Ho. There is significant evidence at the a = 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O C. Do not reject Ho. There is not significant evidence at the a= 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O D. Reject Ho. There is not significant evidence at the a= 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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### Determining Bacteria Levels in Carpeted vs. Uncarpeted Rooms A researcher conducted a study to assess if carpeted rooms have a higher concentration of bacteria than uncarpeted rooms. The table below illustrates the number of bacteria per cubic foot in both types of rooms: | | Carpeted | | | | | Uncarpeted | | | | | |-------------------|----------|-----|------------|------------|------------|------------|-----|------------|------------|------------| | **Full Data Set** | 14.3 | 14.6| 10.6 | | | 11.3 | 9.6 | 4.8 | | | | | 8.8 | 13.8| 13.8 | | | 4.4 | 9.5 | 9.8 | | | | | 13.1 | 6.4 | 9.1 | | | 9.1 | 13.6| | | | ### Hypothesis Testing We need to determine whether carpeted rooms have a higher bacterial concentration than uncarpeted rooms at the significance level \(\alpha = 0.01\). Normal probability plots suggest the data is approximately normal, and boxplots indicate no outliers. Define: - Population 1: Carpeted rooms - Population 2: Uncarpeted rooms State the null and alternative hypotheses: - A. \(H_0: \mu_1 = \mu_2\) \(H_1: \mu_1 \ne \mu_2\) - B. \(H_0: \mu_1 \le \mu_2\) \(H_1: \mu_1 > \mu_2\) - C. \(H_0: \mu_1 = \mu_2\) \(H_1: \mu_1 \ge \mu_2\) - D. \(H_0: \mu_1 = \mu_2\) \(H_1: \mu_1 < \mu_2\) Here, select the correct set of hypotheses for the study. ### P-value Calculation and Conclusion Calculate the P-value for
Transcribed Image Text:### Determining Bacteria Levels in Carpeted vs. Uncarpeted Rooms A researcher conducted a study to assess if carpeted rooms have a higher concentration of bacteria than uncarpeted rooms. The table below illustrates the number of bacteria per cubic foot in both types of rooms: | | Carpeted | | | | | Uncarpeted | | | | | |-------------------|----------|-----|------------|------------|------------|------------|-----|------------|------------|------------| | **Full Data Set** | 14.3 | 14.6| 10.6 | | | 11.3 | 9.6 | 4.8 | | | | | 8.8 | 13.8| 13.8 | | | 4.4 | 9.5 | 9.8 | | | | | 13.1 | 6.4 | 9.1 | | | 9.1 | 13.6| | | | ### Hypothesis Testing We need to determine whether carpeted rooms have a higher bacterial concentration than uncarpeted rooms at the significance level \(\alpha = 0.01\). Normal probability plots suggest the data is approximately normal, and boxplots indicate no outliers. Define: - Population 1: Carpeted rooms - Population 2: Uncarpeted rooms State the null and alternative hypotheses: - A. \(H_0: \mu_1 = \mu_2\) \(H_1: \mu_1 \ne \mu_2\) - B. \(H_0: \mu_1 \le \mu_2\) \(H_1: \mu_1 > \mu_2\) - C. \(H_0: \mu_1 = \mu_2\) \(H_1: \mu_1 \ge \mu_2\) - D. \(H_0: \mu_1 = \mu_2\) \(H_1: \mu_1 < \mu_2\) Here, select the correct set of hypotheses for the study. ### P-value Calculation and Conclusion Calculate the P-value for
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