Question

listed below are the lead concentrations (in μg/g) measured in different ayurveda medicines. ayurveda is a tra medical system commonly used in india. the lead concentrations listed here are from medicines manufacture united states. assume that a simple random sample has been selected. use a 0.10 significance level to test t that the mean lead concentration for all such medicines is less than 14.0 μg/g.
3.02 6.46 6.02 5.52 20.52 7.49 11.96 20.52 11.51 17.53
identify the null and alternative hypotheses.
h₀:
h₁:
(type integers or decimals. do not round.)

Explanation:

Step1: Define null hypothesis

The null hypothesis \(H_0\) is a statement of equality. Here, we assume no difference from the claimed value. So, \(H_0:\mu = 14.0\) (where \(\mu\) is the population mean lead concentration).

Step2: Define alternative hypothesis

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

Answer:

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