Listed below are the lead concentrations in pg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 13 ug'g. Assume that the sample is a simple ran sample. 19.5 6.5 5.5 2.5 3.5 5.5 14 18 3 9 0 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? ΟΑ H, μ> 13 μα9 H u< 13 ugig ΟΒ. H με 13 μg g H: p> 13 pg/g OC. Ho: p= 13 ug/g 0. H μ= 13 μgg H: p 13 pgig Η με 13 μgg Determine the test statistic. (Round to two decimal places as needed.)

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### Hypothesis Testing for Lead Concentration in Traditional Medicines

**Data:**
Listed below are the lead concentrations in μg/g measured in different traditional medicines:

- 19.5, 6.5, 5.5, 2.5, 3.5, 5.5, 14, 18, 3, 9

**Objective:**
Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 13 μg/g. Assume that the sample is a simple random sample.

**Hypothesis Testing:**

**Determine the null and alternative hypotheses:**

- **Option A:**
  - \( H_0: \mu > 13 \, \mu g/g \)
  - \( H_1: \mu < 13 \, \mu g/g \)

- **Option B:**
  - \( H_0: \mu = 13 \, \mu g/g \)
  - \( H_1: \mu > 13 \, \mu g/g \)

- **Option C:**
  - \( H_0: \mu = 13 \, \mu g/g \)
  - \( H_1: \mu \neq 13 \, \mu g/g \)

- **Option D (Correct Choice):**
  - \( H_0: \mu = 13 \, \mu g/g \)
  - \( H_1: \mu < 13 \, \mu g/g \)

**Determine the test statistic:**

- Round to two decimal places as needed.

**Note:**
- Ensure the assumptions for hypothesis testing are satisfied before proceeding.
- Calculate the test statistic to verify the hypothesis.
Transcribed Image Text:### Hypothesis Testing for Lead Concentration in Traditional Medicines **Data:** Listed below are the lead concentrations in μg/g measured in different traditional medicines: - 19.5, 6.5, 5.5, 2.5, 3.5, 5.5, 14, 18, 3, 9 **Objective:** Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 13 μg/g. Assume that the sample is a simple random sample. **Hypothesis Testing:** **Determine the null and alternative hypotheses:** - **Option A:** - \( H_0: \mu > 13 \, \mu g/g \) - \( H_1: \mu < 13 \, \mu g/g \) - **Option B:** - \( H_0: \mu = 13 \, \mu g/g \) - \( H_1: \mu > 13 \, \mu g/g \) - **Option C:** - \( H_0: \mu = 13 \, \mu g/g \) - \( H_1: \mu \neq 13 \, \mu g/g \) - **Option D (Correct Choice):** - \( H_0: \mu = 13 \, \mu g/g \) - \( H_1: \mu < 13 \, \mu g/g \) **Determine the test statistic:** - Round to two decimal places as needed. **Note:** - Ensure the assumptions for hypothesis testing are satisfied before proceeding. - Calculate the test statistic to verify the hypothesis.
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