Listed below are the lead concentrations in µg/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 µg/g. Assume that the sample is a simple random sample. 9.5 9 17 2.5 9.5 13 13 13 22.5 13 CEED OD. Hop=15 µg/g OC. Hop=15 µg/g H, με 15 μg/g H₁ μ#15 µg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.). State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean lead concentration for all such medicines is 15 µg/g.

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### Hypothesis Testing for Lead Concentration in Traditional Medicines

#### Problem Statement:
Listed below are the lead concentrations in µg/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 µg/g. Assume that the sample is a simple random sample.

Lead Concentrations (µg/g): 
9.5, 9, 7, 2.5, 9.5, 13, 13, 13, 22.5, 13

#### Hypotheses:
Select the correct hypotheses for the test:

- \( \mathbf{C}: \)
  - \( H_0: \mu = 15 \, \text{µg/g} \)
  - \( H_1: \mu < 15 \, \text{µg/g} \)

Or 

- \( \mathbf{D}: \)
  - \( H_0: \mu = 15 \, \text{µg/g} \)
  - \( H_1: \mu \ne 15 \, \text{µg/g} \)

#### Steps to Perform the Hypothesis Test:

1. **Determine the Test Statistic:**
   - Use the sample data provided to compute the test statistic. 
   - **(Round to two decimal places as needed.)**
  
2. **Determine the P-value:**
   - Calculate the P-value corresponding to the test statistic.
   - **(Round to three decimal places as needed.)**

3. **State the Final Conclusion:**
   - Based on the P-value and the significance level (α = 0.01), determine whether to reject or fail to reject the null hypothesis \( H_0 \).
   - Use the format below to state your conclusion:
     - " \( H_0: \) There is [sufficient/insufficient] evidence to conclude that the mean lead concentration for all such medicines is 15 µg/g."

#### Time Limit for Completion:
- **Time Remaining: 01:24:16**

**Note:** This exercise helps in understanding how to formulate and perform a hypothesis test using sample data.

#### Copyright:
- © 2022 Pearson Education Inc. All rights reserved. Terms of use | Privacy Policy | Permissions | Contact Us

\*\*End of instructions for hypothesizing lead concentrations in traditional medicines.
Transcribed Image Text:### Hypothesis Testing for Lead Concentration in Traditional Medicines #### Problem Statement: Listed below are the lead concentrations in µg/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 µg/g. Assume that the sample is a simple random sample. Lead Concentrations (µg/g): 9.5, 9, 7, 2.5, 9.5, 13, 13, 13, 22.5, 13 #### Hypotheses: Select the correct hypotheses for the test: - \( \mathbf{C}: \) - \( H_0: \mu = 15 \, \text{µg/g} \) - \( H_1: \mu < 15 \, \text{µg/g} \) Or - \( \mathbf{D}: \) - \( H_0: \mu = 15 \, \text{µg/g} \) - \( H_1: \mu \ne 15 \, \text{µg/g} \) #### Steps to Perform the Hypothesis Test: 1. **Determine the Test Statistic:** - Use the sample data provided to compute the test statistic. - **(Round to two decimal places as needed.)** 2. **Determine the P-value:** - Calculate the P-value corresponding to the test statistic. - **(Round to three decimal places as needed.)** 3. **State the Final Conclusion:** - Based on the P-value and the significance level (α = 0.01), determine whether to reject or fail to reject the null hypothesis \( H_0 \). - Use the format below to state your conclusion: - " \( H_0: \) There is [sufficient/insufficient] evidence to conclude that the mean lead concentration for all such medicines is 15 µg/g." #### Time Limit for Completion: - **Time Remaining: 01:24:16** **Note:** This exercise helps in understanding how to formulate and perform a hypothesis test using sample data. #### Copyright: - © 2022 Pearson Education Inc. All rights reserved. Terms of use | Privacy Policy | Permissions | Contact Us \*\*End of instructions for hypothesizing lead concentrations in traditional medicines.
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