Suppose a a medical researcher claims that µ, the meanconcentration of lead (in mcg/g, micrograms of lead per gram ofmedicine)is less than 16 mcg/g. Express in symbolic form the nulland alternative hypotheses needed to test the researcher'sclaim.
H0 : µ ≥ 16 mcg/g
HA : µ < 16 mcg/g
H0 : µ = 16 mcg/g
HA : µ < 16 mcg/g
H0 : µ = 16 mcg/g
HA : µ ≠16 mcg/g
H0 : µ > 16 mcg/g
HA : µ = 16 mcg/g
To perform the hypothesis test in Question 4, the researcherselected a simple random samples of the medicine and measured thelead concentration in each. (The sample data are in the StatCrunchdata set for this problem.) Use the data set and the results fromQuestion 4 to calculate the p-value for the hypothesis test. Assumelead concentrations are approximately normally distributed.Round your answer to three decimal places; add trailing zerosas needed.
The p-value = [LeadPValue].
DATA
Lead (mcg/g)Â Â var2
18Â Â Â
6.5
22Â Â
19.5Â Â
11.5Â Â
16.5Â Â
5.5Â Â Â
3
13.5Â Â
4Â Â
