Listed below are the lead concentrations in ug/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 18 pg/g. Assume that the sample is a simple random sample. 19.5 2.5 14.5 3.5 22 12.5 10 13.5 10.5 22.5 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? B. Ho: = 18 ug/g H, p< 18 µg/g Ο Α. Ho: μ= 18 μgg H,: p# 18 µg/g OC H μ= 18 μgg H1: p> 18 ug/g O D. Ho u> 18 ug/g H, p< 18 µg/g Determine the test statistic. (Round to two decimal places as needed.)

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can you help me find the test statistics and p-value

**Hypothesis Testing Example:**

The table presents lead concentrations measured in micrograms per gram (µg/g) across various traditional medicines: 19.5, 2.5, 14.5, 3.5, 22, 12.5, 10, 13.5, 10.5, and 22.5.

### Objective

Using a 0.01 significance level, test the claim that the mean lead concentration in all such medicines is less than 18 µg/g. Assume that the sample is a simple random sample. 

### Hypotheses

Assume all conditions for conducting a hypothesis test are met. Determine the null and alternative hypotheses:

- **Option A:**
  - \( H_0: \mu = 18 \, \text{µg/g} \)
  - \( H_1: \mu \neq 18 \, \text{µg/g} \)

- **Option B (Correct Choice):**
  - \( H_0: \mu = 18 \, \text{µg/g} \)
  - \( H_1: \mu < 18 \, \text{µg/g} \)

- **Option C:**
  - \( H_0: \mu = 18 \, \text{µg/g} \)
  - \( H_1: \mu > 18 \, \text{µg/g} \)

- **Option D:**
  - \( H_0: \mu > 18 \, \text{µg/g} \)
  - \( H_1: \mu < 18 \, \text{µg/g} \)

### Next Steps

Determine the test statistic. Ensure to round your answer to two decimal places as needed. 

Enter your answer in the answer box and click "Check Answer" to proceed. 

A progress bar at the bottom indicates there are 2 parts remaining to complete.
Transcribed Image Text:**Hypothesis Testing Example:** The table presents lead concentrations measured in micrograms per gram (µg/g) across various traditional medicines: 19.5, 2.5, 14.5, 3.5, 22, 12.5, 10, 13.5, 10.5, and 22.5. ### Objective Using a 0.01 significance level, test the claim that the mean lead concentration in all such medicines is less than 18 µg/g. Assume that the sample is a simple random sample. ### Hypotheses Assume all conditions for conducting a hypothesis test are met. Determine the null and alternative hypotheses: - **Option A:** - \( H_0: \mu = 18 \, \text{µg/g} \) - \( H_1: \mu \neq 18 \, \text{µg/g} \) - **Option B (Correct Choice):** - \( H_0: \mu = 18 \, \text{µg/g} \) - \( H_1: \mu < 18 \, \text{µg/g} \) - **Option C:** - \( H_0: \mu = 18 \, \text{µg/g} \) - \( H_1: \mu > 18 \, \text{µg/g} \) - **Option D:** - \( H_0: \mu > 18 \, \text{µg/g} \) - \( H_1: \mu < 18 \, \text{µg/g} \) ### Next Steps Determine the test statistic. Ensure to round your answer to two decimal places as needed. Enter your answer in the answer box and click "Check Answer" to proceed. A progress bar at the bottom indicates there are 2 parts remaining to complete.
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