Chapter 9, Problem 86CRE

Reducing Pollution A random sample of 12th-grade students were asked to rate the importance of reducing pollution on a scale from 0 to 1000. Responses were recorded by gender. The results of a hypothesis test are shown. Assume the conditions for using a two-sample $t\text{-test}$ are met.

a. Which group has a higher mean, and how do you know?

b. Test the hypothesis that the mean rating for males and females are different, using a significance level of $0.05$.

Two sample T hypothesis test:

${\text{μ}}_1$ : Mean of Mean of Importance_reducing_pollution where Gender $=$ “Male”

${\text{μ}}_2$ : Mean of Importance_reducing_pollution where Gender $=$ “Female”

${\text{μ}}_1-{\text{μ}}_2$ : Difference Between two means

${\text{H}}_{\text{0}}:{\text{μ}}_1-{\text{μ}}_2=0$

${\text{H}}_{\text{A}}:{\text{μ}}_1-{\text{μ}}_2\ne 0$

(without pooled variances)

Hypothesis test results: