Is there a significant difference between how people study in college? College students tend to have different ways of studying for their classes. A sociology student, Linus, decided to investigate three common study methods: alone, with friends, and with a tutor. To do this, Linus surveyed a random sample of students, asking them how much time (in hours) in a given week they would spend studying based on each method.
Studying Alone Studying with Friends Studying with a Tutor
13 11 5
13 16 2
9 8 5
16 7 1
21 3 0
18 0 1
22 6 4
21
Shall we reject or not reject the claim that there is no difference in the population mean time students spend using the three methods? Use a 5% level of significance.
(a)
What is the level of significance?
State the null and alternate hypotheses.
H0: 1 = 2 = 3;
H1: Not all the means are equal.
H0: 1 = 2 = 3;
H1: All three means are different.
H0: 1 = 2 = 3;
H1: Exactly two means are equal.
H0: 1 = 2 = 3;
H1: At least two means are equal.