SOLUTION: Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results

Algebra.Com
Question 327560: Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given in the table below. At the .01 level of significance, is there sufficient evidence to conclude that a difference exists between the mean number of volunteer hours per week for male and female college students?
Females Males
Sample size 20 18
Sample mean 3.8 2.5
Sample variance 3.5 2.2

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given in the table below. At the .01 level of significance, is there sufficient evidence to conclude that a difference exists between the mean number of volunteer hours per week for male and female college students?
Females Males
Sample size 20 18
Sample mean 3.8 2.5
Sample variance 3.5 2.2
------------------------------
Ho: u(male)-u(woman) = 0
Ho: u(male)-u(woman) is not 0
I ran a 2-Sample T test and got the following:
test statistic: t = 2.3845
p-value + 0.0226
df = 35.47
---
Conclusion: Reject Ho at 5% significance level.
====================
Cheers,
Stan H.

RELATED QUESTIONS

Can I please get someone's help on this. Tried and tried but I cant get it. Saw other... (answered by stanbon)
1. A national magazine claims that the average college student watches less television... (answered by Boreal)
2. You want to determine if the average number of hours that a college student worked in... (answered by Boreal)
1. A national magazine claims that the average college student watches less television... (answered by Boreal)
A national magazine claims that the average college student watches less television than... (answered by Boreal)
A national magazine claims that the average college student watches less television that... (answered by Boreal)
Business Week conducted a survey of graduates from 30 top MBA programs (Business Week,... (answered by stanbon)
A professor wants to estimate how many hours per week students study. A simple random... (answered by JBnovelwriter)
a random sample of 50 people was asked to keep a record of the amount of time spend... (answered by ewatrrr)