The manager of a service station is in the process of analyzing the number of times car owners change the oil in their cars. She believes that the average motorist changes his or her car's oil less frequently than recommended by the owner's manual (two times per year). In a preliminary survey she asked 15 cars owners how many times they changed their car's oil in the last 12 months. The results are listed below.
1 1 2 0 3
3 0 1 0 1
2 3 1 3 1
The value of the test statistic in this problem is approximately equal to_____?
What would be your decision if a hypothesis test was conducted on this problem with the null hypothesis given as H0 : µ ≥ 2 and the alternate hypothesis given as H1 < 2 ?
1) Reject H0 at the 10%, 5% and 1% level of significance.
2) Reject H0 at the 10% and 5% level of significance but do not reject H0 at the 1% level of significance.
3) Reject H0 at the 10% level of significance but do not reject H0 at the 5% or 1% level of significance.
4) Do not reject H0 at either the 10%, 5% or 1% level of significance