A recent study focused on the number of times men and women send a Twitter
message in a day. Based on a sample of 25 men, it is found that they send 23 messages
in a day on the average. Sent message average is found to be 28 in a day for women
from a sample of size 30. Past studies show that the standard deviations are 5 and 10
for men and women, respectively.
a) Estimate the true average message sent by women.
b) Estimate the true average message sent by the women with 95% confidence.
c) It is claimed that women send more than 30 messaged in a day. Test the claim at 0.05
significance level.
d) Calcualte the p
-value for the previous test.
e) Estimate the true difference in the mean number of times men and women send a Twitter
message in a day.
f) Estimate the true difference in the mean number of times men and women send a Twitter
message in a day with 95% confidence.
g) At the 0.01 significance level, test whether there is a difference in the mean number of times
men and women send a Twitter message in a day.
h) Calculate the p
-value for the previous test.