Listed below are the lead concentrations measured in different Ayurveda medicines. Assume that a simple Random sample has been selected. use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 ug/g. A) identify the null And alternative hypothesis B) identify the test statistic C) identify the P- value D) state the conclusions about the null hypothesis, as well as the conclusion that addresss the original claim : ____ the null hypothesis. there ____ sufficient evidence at the 0.10 significance level to ____ the claim that the mean lead concentration for all medicines manufactured in the US is less than 14 uh/g. DONT ROUND ANY ANSWERS

To perform a hypothesis test on the mean lead concentration in Ayurveda medicines, we need to go through the following steps:

### Step 1: Set Up Hypotheses
We are testing the claim that the mean lead concentration for all Ayurveda medicines is less than 14.0 μg/g. This suggests that:

- **Null Hypothesis (\(H_0\))**: The mean lead concentration is **greater than or equal to** 14.0 μg/g.
  \[
  H_0: \mu \geq 14.0
  \]
  
- **Alternative Hypothesis (\(H_1\))**: The mean lead concentration is **less than** 14.0 μg/g.
  \[
  H_1: \mu < 14.0
  \]

### Step 2: Identify the Test Statistic
We will use a **one-sample t-test** to test this claim since we are dealing with a sample mean and a population standard deviation is unknown.

The formula for the test statistic \( t \) in a t-test is:
\[
t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}
\]
Where:
- \(\bar{x}\) is the sample mean
- \(\mu\) is the population mean (hypothesized)
- \(s\) is the sample standard deviation
- \(n\) is the sample size

### Step 3: Find the P-Value
The P-value is calculated based on the test statistic and tells us the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

### Step 4: Draw Conclusions
We will compare the P-value to the significance level \(\alpha = 0.10\). If the P-value is less than or equal to 0.10, we reject the null hypothesis; otherwise, we fail to reject it.

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Now I can help you calculate these values. To proceed, please provide:
- The sample data (the lead concentrations measured).
- Alternatively, the sample mean (\(\bar{x}\)), sample standard deviation (\(s\)), and sample size (\(n\)) if you have them.

Once I have that information, I can continue with the test.

Listed below are the lead concentrations measured in different Ayurveda medicines. Assume that a simple Random sample has been selected. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 ug/g. A) Identify the null and alternative hypothesis B) Identify the test statistic C) Identify the P-value D) State the conclusions about the null hypothesis, as well as the conclusion that addresses the original claim: ____ the null hypothesis. There ____ sufficient evidence at the 0.10 significance level to ____ the claim that the mean lead concentration for all medicines manufactured in the US is less than 14 ug/g. DON'T ROUND ANY ANSWERS.

Learn how to perform a hypothesis test to evaluate if the mean lead concentration in Ayurveda medicines is less than 14.0 μg/g using a one-sample t-test at a 0.10 significance level. This problem covers hypothesis formulation, test statistics, P-value calculation, and drawing conclusions.

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