Homework SourseA recent study focused on the number of times men and women
A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below.
At the 0.01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the value of the test statistic for this hypothesis test?
| Sample Size | Sample Mean | Population Standard Deviation | |
| Men | 24 | 26 | 10 |
| Women | 25 | 40 | 19 |
Solution
The test statistic is
t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)
=(26-40)/sqrt(10^2/24+19^2/25)
=-3.245591
Answer: -3.2456
