2. A teacher wants to investigate whether there is a difference between male and female students in the amount of time they spend studying for statistics. The table below shows the amount of time students spend studying statistics each week. The amounts of time spent studying are normally distributed.

Male Female
27 25
25 29
19 18
10 23
16 20
17 15
15 19
a. What statistical test should be used to analyze the data?

b. Is this a one- or two tailed test?

c. Identify H0 and Ha for this study.

d. Conduct the appropriate analysis. Should H0 be rejected?

1 answer

Try an independent groups t-test. This will be a two-tailed test because the problem is just asking if there is a difference, which could be in either direction.

Ho: µ1 = µ2 -->population means are equal
Ha: µ1 does not equal µ2 -->population means are not equal

I hope this will help get you started.