A simple random sample of 27

27 filtered100-mm cigarettes is obtained from a normally distributedpopulation, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.16

0.16 mg. Use a 0.05

0.05 significance level to test the claim that the tar content of filtered100-mm cigarettes has a standard deviation different from 0.20

0.20 mg, which is the standard deviation for unfilteredking-size cigarettes. Complete parts(a) through(d) below.

a. What are the null and alternativehypotheses?

A.

H0: sigma

greater than

>0.20

0.20 mg

Upper H 1 : sigma less than or equals 0.20

H1:0.20 mg

B.

H0: sigma

equals

=0.20

0.20 mg

Upper H 1 : sigma not equals 0.20

H1:0.20 mg

Your answer is correct.

C.

H0: sigma

not equals

0.20

0.20 mg

Upper H 1 : sigma equals 0.20

H1:=0.20 mg

D.

H0: sigma

equals

=0.20

0.20 mg

Upper H 1 : sigma less than 0.20

H1:<0.20 mg

b. Find the test statistic.

chi squared

2equals

=

nothing

(Round to three decimal places asneeded.)