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

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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:
\[ \text{P-value} = \boxed{ \ } \; \text{(Round to three decimal places as needed.)} \]
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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