Question

Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 ug/g. Assume that the sample is a simple random sample. 13.5 11.5 9 14.5 18.5 11.5 10 5.5 3.5 16.5 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: u = 16 pg/g Hy: u < 16 ug/g OB. Ho: u > 16 ug/g Hy: j < 16 ug/g O C. Ho: u = 16 ug/g H :u 16 ug/g D. Ho: j = 16 ug/g H : u> 16 ug/g

Answer 1

Solution:

Using statistical software output of this problem is,

One sample T hypothesis test:

A)
μ : Mean of variable
H₀ : μ = 16
H_A : μ < 16

Hypothesis test results:

Variable	Sample Mean	Std. Err.	DF	T-Stat	P-value
var1	11.4	1.4734691	9	-3.1218843	0.0061

Test statistic

t = -3.12

P-value = 0.006

The p-value is p = 0.006 < 0.10, it is concluded that the null hypothesis is rejected.

Conclusion:

Reject H0. There is sufficient evidence to conclude that the mean lead concentration for all such medicines is less than 16 mglg.