Question

listed below are the lead concentrations (in μg/g) measured in different ayurveda medicines. ayurveda is a traditional medical system commonly used in india. the lead concentrations listed here are from medicines manufactured in the united states. 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 μg/g. 2.98 6.54 5.96 5.50 20.50 7.52 12.04 20.51 11.52 17.52 identify the null and alternative hypotheses. h₀: h₁: (type integers or decimals. do not round.)

Explanation:

Step1: Understand the claim

The claim is that the mean lead concentration for all such medicines is less than \(14.0\) \(\mu g/g\).

Step2: Set up the null hypothesis

The null hypothesis \(H_0\) is a statement of equality. It is the opposite of the claim we want to test. So, \(H_0:\mu = 14.0\).

Step3: Set up the alternative hypothesis

The alternative hypothesis \(H_1\) is the claim we are testing. Since the claim is that the mean is less than \(14.0\), \(H_1:\mu<14.0\).

Answer:

\(H_0:\mu = 14.0\)
\(H_1:\mu<14.0\)