Question

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized here. Sample Size - Sample Mean - Population Standard Deviation Men: 25 - 23 - 5 Women: 30 - 28 - 10 At the 0.01 significance level, we ask if there is 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?

Answer 1

Answer:

There is no difference in the mean number of times men and women send a Twitter message in a day

Zmen = 0.4

Zwomen = 0.2

Step-by-step explanation:

Null hypothesis: There is no difference in the mean number of times men and women send a Twitter message in a day

Alternate hypothesis: There is a difference in the mean number of times men and women send a Twitter message in a day

Z = (sample mean - population mean)/(sd ÷ √n)

Zmen = (25 - 23)/(5÷√1) = 2/5 = 0.4

Zwomen = (30 - 28)/(10÷√1) =2/10= 0.2

For a two tailed test, at 0.01 significance level, the critical value is 2.576

0.2 and 0.4 falls within the region bounded by -2.576 and 2.576, so we fail to reject the null hypothesis

There is no difference in the mean number of times men and women send a Twitter message in a day