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In: Statistics and Probability

Each person in random samples of 227 male and 283 female working adults living in a...

Each person in random samples of 227 male and 283 female working adults living in a certain town in Canada was asked how long, in minutes, his or her typical daily commute was. (Use a statistical computer package to calculate the P-value. Use μmalesμfemales. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)

Males Females
Sample
size
x s Sample
size
x s
227 30.6 24.0 283 28.3 24.3
t =
df =
P-value =


Is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town? Use a significance level of 0.05.

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