Listed below are the lead concentrations (in g/g) measured in different Ayurveda medicines. The lead concentrations listed below are from medicines manufactured in the United States.

(Assume these do come from a population that is approximately Normal).

3.0

6.5

6.3

5.5

20.5

7.5

12

20.5

11.5

17.5

• Use a significance level of =0.05 to test the claim that the mean lead concentration for all such medicines is less than 14 g/g. Make sure you provide all the important statistical analysis.
• Construct the confidence interval that is equivalent to the hypothesis test.