Lead in Medicine listed below are the lead concentrations (in Mng/g) measured in
ID: 3157310 • Letter: L
Question
Lead in Medicine listed below are the lead concentrations (in Mng/g) measured in differ-ent Ayurveda medianes. Ayurveda is a traditional medical system commonly used in Indu The lead concentrations listed here are from medicines manufactured in the United States. The data are based on the article "Lead. Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet." by Saper, et al.. Journal of thr Amrrica Anocianon. Vol. 300. No. 8. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 mug/g.Explanation / Answer
Formulating the null and alternative hypotheses,
Ho: u >= 14
Ha: u < 14
As we can see, this is a left tailed test.
Thus, getting the critical t,
df = n - 1 = 9
tcrit = - 1.833112933
Getting the test statistic, as
X = sample mean = 11.05
uo = hypothesized mean = 14
n = sample size = 10
s = standard deviation = 6.461209037
Thus, t = (X - uo) * sqrt(n) / s = -1.443803945
Also, the p value is
p = 0.091343086
As t > -1.833, and P > 0.05, we FAIL TO REJECT THE NULL HYPOTHESIS.
Hence, there is no significant evidence that the true mean lead concentration for all such medicines is less tha 14 ug/g at 0.05 level. [CONCLUSION]
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