Question

3.    As part of a class exercise, an instructor at a major university asks her students how many hours per week they spend on social networks. She wants to investigate if time spend on social networks differs for male and female students at this university. The results for those age 21 or under were:

Descriptive Statistics: Males, Females

             Total

Variable Count Mean StDev Minimum Maximum

Males       12         11.92 3.94     5.00        20.00

Females    21        15.62 8.00    5.00         40.00

Test at the 1% significance level the research question that the instructor wants to investigate.

a. State the null and alternative hypothesis

b. Determine the test statistic

c. Determine the p-value and make a decision

d. Interpret the results

Answer 1

a) The hypothesis is,

Vs.,

b)and the test statistic is given by,

t= = =-1.776

df = = 12+21-2=31

c)P-value = 0.0857 {from t-table}

Since, Pvalue >0.01, we fail to reject the null hypothesis.

d)

we conclude thatnthe time spend on social networks does not differ significantly for male and female students at that university.