Math  /  Data & Statistics

QuestionListed below are the lead concentrations (in μg/g\mu \mathrm{g} / \mathrm{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 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0μ g/g14.0 \mu \mathrm{~g} / \mathrm{g}. 3.02 6.46 6.00 5.53 20.50 7.47 11.99 20.50 11.53 17.54
Identify the null and alternative hypotheses. H0\mathrm{H}_{0} : \square \square H1\mathrm{H}_{1} : \square \square (Type integers or decimals. Do not round.)

Studdy Solution
Define the alternative hypothesis (H1 H_1 ).
The alternative hypothesis states that the mean lead concentration for all such medicines is less than 14.0μg/g 14.0 \, \mu \mathrm{g/g} .
H1:μ<14.0 H_1: \mu < 14.0
The hypotheses are:
H0:μ=14.0 H_0: \mu = 14.0 H1:μ<14.0 H_1: \mu < 14.0

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