A study was carried out with a random sample of 10 patients who suffer from insomnia to investigate the effectiveness of a drug designed to increase sleep time. The given data shows the number of additional hours of sleep per night gained by each subject after taking the drug. A negative value indicates that the subject got less sleep after taking the drug.

1.9

0.8

1.1

0.1

-0.1

4.4

5.5

1.6

4.6

3.4

What of the following is NOT true regarding the significance test at the =0.01 significance level that the average sleep increase is positive for insomnia patients when taking this drug?

A. The hypotheses are 0:=0,:>0, where = the true mean number of additional hours of sleep per night gained by using the drug for all people who would take it.

B. Because the -value of 0.00254<=0.01, we reject 0 There is proof that the drug is effective at increasing the average sleep time for patients who suffer from insomnia.

C. The test statistic is =3.68 and the -value is 0.00254.

D. The Normal/Large Sample condition is satisfied even though the sample size is small.