Each person in random samples of 237 male and 293 female working adults living in a certain town in Canada was asked how long, in minutes, his or her typical daily commute was. 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 #males #females) Sample size 237 Male x 31.6 S 24.0 Sample size 293 Female x 29.3 Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = S 24.3 Use technology to find the P-value. (Round your answer to four decimal places.) 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. O Yes O No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Each person in random samples of 237 male and 293 female working adults living in a certain town in Canada was asked how long, in minutes, his or
her typical daily commute was. 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 μmales - females.)
Sample
size
237
Male
X
31.6
S
24.0
Sample
size
293
Female
x
29.3
Find the test statistic. (Round your answer to two decimal places.)
t =
Find the df. (Round your answer down to the nearest whole number.)
df =
S
24.3
Use technology to find the P-value. (Round your answer to four decimal places.)
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.
Yes
No
Transcribed Image Text:Each person in random samples of 237 male and 293 female working adults living in a certain town in Canada was asked how long, in minutes, his or her typical daily commute was. 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 μmales - females.) Sample size 237 Male X 31.6 S 24.0 Sample size 293 Female x 29.3 Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = S 24.3 Use technology to find the P-value. (Round your answer to four decimal places.) 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. Yes No
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