Assume that are testing the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n = 25, x = 24.4 years, and s 9.2 years. Use a significance level of a = 0.05. Use the given information to answer the questions. 1) Calculate the test statistics. Round to 3 decimal places. (You must show how you set up and calculate the test statistics. Only having calculator work will not count for the test statistics.) 1) 2) Find the p-value and make a decision (reject or fail to reject the null hypotheses). Round each value to 3 decimal places. (You may use Excel or a calulator to find the p-value, but you must write what you input into Excel/calculator below) 2)

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Please answer for question #2.

**Hypothesis Testing for Mean Age of Prison Population**

Assume that you are testing the claim that the mean age of the prison population in one city is less than 26 years. The sample data are summarized as follows: 
- Sample size (n) = 25
- Sample mean (\(\bar{x}\)) = 24.4 years
- Sample standard deviation (s) = 9.2 years

Use a significance level of \(\alpha = 0.05\). Use the given information to answer the questions below.

1. **Calculate the Test Statistic:**
   - Round to 3 decimal places.
   - You must show how you set up and calculate the test statistics. Only having calculator work will not count for the test statistics.

   \[ 1) \_\_\_\_\_\_\_\_\_\_\_\_ \]

2. **Find the p-value and Make a Decision:**
   - (Reject or fail to reject the null hypothesis).
   - Round each value to 3 decimal places.
   - You may use Excel or a calculator to find the p-value, but you must write what you input into Excel/calculator.

   \[ 2) \_\_\_\_\_\_\_\_\_\_\_\_ \]
Transcribed Image Text:**Hypothesis Testing for Mean Age of Prison Population** Assume that you are testing the claim that the mean age of the prison population in one city is less than 26 years. The sample data are summarized as follows: - Sample size (n) = 25 - Sample mean (\(\bar{x}\)) = 24.4 years - Sample standard deviation (s) = 9.2 years Use a significance level of \(\alpha = 0.05\). Use the given information to answer the questions below. 1. **Calculate the Test Statistic:** - Round to 3 decimal places. - You must show how you set up and calculate the test statistics. Only having calculator work will not count for the test statistics. \[ 1) \_\_\_\_\_\_\_\_\_\_\_\_ \] 2. **Find the p-value and Make a Decision:** - (Reject or fail to reject the null hypothesis). - Round each value to 3 decimal places. - You may use Excel or a calculator to find the p-value, but you must write what you input into Excel/calculator. \[ 2) \_\_\_\_\_\_\_\_\_\_\_\_ \]
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