A simple random sample of

26

filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of

0.16

mg. Use a

0.05

significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from

0.20

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

a. What are the null and alternative hypotheses?

A.

H0:

=0.20

mg

H1:<0.20

mg

B.

H0:

=0.20

mg

H1:0.20

mg

C.

H0:

>0.20

mg

H1:0.20

mg

D.

H0:

0.20

mg

H1:=0.20

mg

Part 2b. Find the test statistic.

2=

(Round to three decimal places as needed.)

Part 3c. Find the P-value of the test statistic.

The P-value of the test statistic is=

(Round to three decimal places as needed.)

Part 4

d. State the conclusion.

Fail to reject? or reject? H0. There is not? or is? sufficient evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from

0.20

mg.