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.)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72caf789-465b-4744-a881-c0e2c7fc6ef8%2F9530b46c-99d8-4549-814e-3637bc609d2b%2Fcq8jt_processed.jpeg&w=3840&q=75)
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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