Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is p> 98.6 F. The sample size is n= 7 and the test statistic is t=2.095. P-value (Round to three decimal places as needed.) %3D
Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is p> 98.6 F. The sample size is n= 7 and the test statistic is t=2.095. P-value (Round to three decimal places as needed.) %3D
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Hypothesis Testing with P-Value Calculation
#### Scenario:
We aim to determine if the mean body temperature at 12:00 AM for a population is greater than 98.6°F.
#### Details for the Hypothesis Test:
- **Population Mean Claim (\( \mu \)):** \( \mu > 98.6^\circ \text{F} \)
- **Sample Size (n):** 7
- **Test Statistic (t):** \( t = 2.095 \)
#### Instructions:
Use technology or statistical software to calculate the P-value for the given hypothesis test.
#### Calculation:
To compute the P-value, follow these steps:
1. Identify the degrees of freedom (df) for the t-distribution: \(df = n - 1 = 7 - 1 = 6\)
2. Locate the t-value in the t-distribution table or use statistical software to find the corresponding P-value.
3. Ensure the P-value is rounded to three decimal places as necessary.
#### Result:
\[ \text{P-value} = \boxed{ \ } \; \text{(Round to three decimal places as needed.)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11fb6ed7-9250-48c6-8339-b5d076b64c81%2F4e621501-2ed0-43ac-b30c-0e2e9f28b701%2Fha2z0ecn.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing with P-Value Calculation
#### Scenario:
We aim to determine if the mean body temperature at 12:00 AM for a population is greater than 98.6°F.
#### Details for the Hypothesis Test:
- **Population Mean Claim (\( \mu \)):** \( \mu > 98.6^\circ \text{F} \)
- **Sample Size (n):** 7
- **Test Statistic (t):** \( t = 2.095 \)
#### Instructions:
Use technology or statistical software to calculate the P-value for the given hypothesis test.
#### Calculation:
To compute the P-value, follow these steps:
1. Identify the degrees of freedom (df) for the t-distribution: \(df = n - 1 = 7 - 1 = 6\)
2. Locate the t-value in the t-distribution table or use statistical software to find the corresponding P-value.
3. Ensure the P-value is rounded to three decimal places as necessary.
#### Result:
\[ \text{P-value} = \boxed{ \ } \; \text{(Round to three decimal places as needed.)} \]
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