In: Statistics and Probability
A recent study focused on the number of times men and women send
a Twitter message in a day. The information is summarized
below.
| Sample Size | Sample Mean | Population Standard Deviation  | 
|
| Men | 29 | 24 | 9 | 
| Women | 37 | 37 | 19 | 
At the .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 p-value for this hypothesis test?
a.) 0.0251
b.) 0.0751
c.) 0.7501
d.) 0.0002
Answer: 0.0002 Option D is correct

Test Statistics

P-value was calculated using online calculator for z = -3.67 and two tailed test (Screenshot attached)

P-value for this hypothesis test is 0.0002