Question

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? You want to test the hypotheses that the amount absorbed by men (group 1) is different from the amount absorbed by women (group 2). A random sample of 213 male workers and 166 female workers showed an average lead absorption in the blood of 7.85 (SD = 1.322) and 7.74 (SD = 0.999), respectively (measured in micrograms/deciliter). Assuming that the population standard deviations are the same, perform a two independent samples t-test on the hypotheses Null Hypothesis: μ₁ = μ₂, Alternative Hypothesis: μ₁ ≠ μ₂. What is the test statistic and p-value of this test?

Question 14 options:

1)	Test Statistic: -0.892, P-Value: 0.373

2)	Test Statistic: 0.892, P-Value: 0.373

3)	Test Statistic: 0.892, P-Value: 0.8135

4)	Test Statistic: 0.892, P-Value: 0.1865

5)	Test Statistic: 0.892, P-Value: 1.8135

Answer 1

2)	Test Statistic: 0.892, P-Value: 0.373

Explanation:

= 7.85 ,  =7.74 , n1=213 , n2= 166, s1=1.322, s2=0.999

Ho: μ₁ = μ₂

H1: μ₁ ≠ μ₂

Calculate test statistics

t = 0.892

Test statistics = 0.892

now calculate P-Value using TI-83 calculator

we get P-Value as follows

P-Value = 0.373