As part of quality control, a pharmaceutical company tests a sample of manufacturer pills to ensure that the amount of active drug they contain is consistent with thelabelledamount.That is, they are interested in testing the following hypotheses:

H

0

:=100

H

0

:

=

100

mg (the mean levels are aslabelled)

H

1

:100

H

1

:

100

mg(the mean levels are not aslabelled)

Assume that the population standard deviation of drug levels is5

5

mg.For testing, they take a sample of10

10

pills randomly from the manufacturing lines and would like to use a significance level of=0.05

=

0.05

.