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Determine the P-value for this hypothesis test. P-value =O(Round to three decimal places as needed.) %3D

Determine the P-value for this hypothesis test. P-value =O(Round to three decimal places as needed.) %3D

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
Problem 1P
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**Educational Content on Bacterial Count Hypothesis Testing** **Research Context:** A researcher aimed to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The data table provides the number of bacteria per cubic foot for both types of rooms. **Data Table:** | | Carpeted | Uncarpeted | |---------|----------|------------| | Values | 9.7 | 8.4 | | | 11.5 | 5.4 | | | 6.7 | 4.2 | | | 10.4 | 13.5 | | | 6.1 | 12.5 | | | 8.2 | 7.8 | | | 13.3 | | | | 8.2 | | | **Full data set** | | | | | | 10.4 | | | | 7.6 | **Hypothesis Testing:** - **Hypotheses:** - \( H_1: \mu_1 > \mu_2 \) - \( H_0: \mu_1 \leq \mu_2 \) - \( H_1: \mu_1 > \mu_2 \) - **Task:** Determine the P-value for this hypothesis test. - **Instructions:** Enter the P-value in the appropriate field, rounding to three decimal places as needed. **Note:** The values represent bacterial counts in different room types, and the hypotheses are focused on whether the bacterial mean (\(\mu\)) is greater in carpeted rooms compared to uncarpeted ones, indicating a potential significant difference.
Transcribed Image Text:**Educational Content on Bacterial Count Hypothesis Testing** **Research Context:** A researcher aimed to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The data table provides the number of bacteria per cubic foot for both types of rooms. **Data Table:** | | Carpeted | Uncarpeted | |---------|----------|------------| | Values | 9.7 | 8.4 | | | 11.5 | 5.4 | | | 6.7 | 4.2 | | | 10.4 | 13.5 | | | 6.1 | 12.5 | | | 8.2 | 7.8 | | | 13.3 | | | | 8.2 | | | **Full data set** | | | | | | 10.4 | | | | 7.6 | **Hypothesis Testing:** - **Hypotheses:** - \( H_1: \mu_1 > \mu_2 \) - \( H_0: \mu_1 \leq \mu_2 \) - \( H_1: \mu_1 > \mu_2 \) - **Task:** Determine the P-value for this hypothesis test. - **Instructions:** Enter the P-value in the appropriate field, rounding to three decimal places as needed. **Note:** The values represent bacterial counts in different room types, and the hypotheses are focused on whether the bacterial mean (\(\mu\)) is greater in carpeted rooms compared to uncarpeted ones, indicating a potential significant difference.
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