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 0.20 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 0.30 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. Question content area bottom Part 1 a. What are the null and alternative hypotheses? A. H0: σ=0.30 mg H1: σ<0.30 mg B. H0: σ=0.30 mg H1: σ≠0.30 mg C. H0: σ>0.30 mg H1: σ≤0.30 mg D. H0: σ≠0.30 mg H1: σ=0.30 mg Part 2 b. Find the test statistic. χ2=enter your response here (Round to three decimal places as needed.) Part 3 c. Find the P-value of the test statistic. The P-value of the test statistic is enter your response here. (Round to three decimal places as needed.) Part 4 d. State the conclusion. ▼ Reject Fail to reject H0. There ▼ is
A simple random sample of 26 filtered 100-mm cigarettes is obtained from a
Question content area bottom
Part 1
a. What are the null and alternative hypotheses?
A.
H0: σ=0.30 mg
H1: σ<0.30 mg
B.
H0: σ=0.30 mg
H1: σ≠0.30 mg
C.
H0: σ>0.30 mg
H1: σ≤0.30 mg
D.
H0: σ≠0.30 mg
H1: σ=0.30 mg
Part 2
b. Find the test statistic.
χ2=enter your response here (Round to three decimal places as needed.)
Part 3
c. Find the P-value of the test statistic.
The P-value of the test statistic is enter your response here.
(Round to three decimal places as needed.)
Part 4
d. State the conclusion.
▼
Reject
Fail to reject
H0. There
▼
is
is not
sufficient evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.30 mg.
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