random sample of 29 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of eac The sample has a standard deviation of 0.16 mg . Use a 0.01 significance level to test the claim that the tar content of filter has a standard deviation different from 0.20 mg , which is the standard deviation for unfiltered king-size cigarettes. Complete d) below.
re the null and alternative hypotheses?
\( 0: \sigma \neq 0.20 \mathrm{mg} \)
\( 1: \sigma=0.20 \mathrm{mg} \)
\( 0: \sigma=0.20 \mathrm{mg} \)
\( 1: \sigma<0.20 \mathrm{mg} \)
e test statistic.
320 (Round to three decimal places as needed.)
e P -value of the test statistic.
lue of the test statistic is \( \square \)
o three decimal places as needed.)
B. \( H_{0}: \sigma=0.20 \mathrm{mg} \) \( H_{1}: \sigma \neq 0.20 \mathrm{mg} \)
D. \( H_{0}: \sigma>0.20 \mathrm{mg} \) \( H_{1}: \sigma \leq 0.20 \mathrm{mg} \)