A simple random sample of 26 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 0.20 mg. Use a 0.05 significance level to test the claim that the tar content of filtered100-mm cigarettes has a standard deviation different from 0.30 mg, which is the standard deviation for unfilteredking-size cigarettes. Complete parts(a) through(d) below.

a. What are the null and alternativehypotheses?

b. Find the test statistic.

c. Find theP-value of the test statistic.

d. State the conclusion.