Question

Suppose a a medical researcher claims that µ, the mean concentration of lead (in mcg/g, micrograms of lead per gram of medicine)is less than 16 mcg/g. Express in symbolic form the null and alternative hypotheses needed to test the researcher's claim.

H₀ : µ ≥ 16 mcg/g
H_A : µ < 16 mcg/g

H₀ : µ = 16 mcg/g
H_A : µ < 16 mcg/g

H₀ : µ = 16 mcg/g
H_A : µ ≠ 16 mcg/g

H₀ : µ > 16 mcg/g
H_A : µ = 16 mcg/g

To perform the hypothesis test in Question 4, the researcher selected a simple random samples of the medicine and measured the lead concentration in each. (The sample data are in the StatCrunch data set for this problem.) Use the data set and the results from Question 4 to calculate the p-value for the hypothesis test. Assume lead concentrations are approximately normally distributed. Round your answer to three decimal places; add trailing zeros as needed.

The p-value = [LeadPValue].

DATA

Lead (mcg/g)   var2
18   
6.5
22  
19.5  
11.5  
16.5  
5.5   
3
13.5  
4  

Answer 1

ans-> P-value = 0.0507