Question

listed below are the lead concentrations (in pg/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 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 pg/g
2.98 6.50 5.99 5.48 20.51 7.53 11.98 20.47 11.48 17.54 5
identify the null and alternative hypotheses.
ho
h1
(type integers or decimals. do not round.)

Explanation:

Step1: Identify 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. So, \(H_0:\mu = 14.0\).

Step3: Set up the alternative hypothesis

The alternative hypothesis \(H_1\) is the claim. So, \(H_1:\mu< 14.0\).

Answer:

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