In: Statistics and Probability
Each person in random samples of 250 male and 250 female working American adults was asked how long, in minutes, they typically spend on their lunch break. The males averaged 39.6 minutes with a standard deviation of 24.3 minutes. The females averaged 37.3 minutes with a standard deviation of 24.0 minutes. Is there convincing evidence that the mean lunch break times for male and female working American adults differ?
(a) State the null and alternative hypotheses to be tested. (
b) Test the relevant hypotheses using α = .05. (Be sure to check all necessary conditions and clearly state your test statistic, P-value, and formal decision.) Hint: You will use df=498.
(c) Write a conclusion statement communicating your findings in a sentence