A simple random sample of 27 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 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 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. Ho: 0 = 0.25 mg H:0+0.25 mg O B. Ho: o#0.25 mg H:0=0.25 mg О с. На в>0.25 mg H:os0.25 mg O D. Ho: 0 =0.25 mg H;:o<0.25 mg b. Find the test statistic. 2= (Round to three decimal places as needed.)

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Find Test Statistic, P value, and Z score.

A simple random sample of 27 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 0.18 mg. Use a 0.01 significance level to test
the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 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. Ho: o = 0.25 mg
H1:0#0.25 mg
B. Ho: o +0.25 mg
H1: o = 0.25 mg
C. Ho: o > 0.25 mg
H1: os0.25 mg
Ho: o = 0.25 mg
H1: o<0.25 mg
b. Find the test statistic.
x = (Round to three decimal places as needed.)
Transcribed Image Text:A simple random sample of 27 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 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 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. Ho: o = 0.25 mg H1:0#0.25 mg B. Ho: o +0.25 mg H1: o = 0.25 mg C. Ho: o > 0.25 mg H1: os0.25 mg Ho: o = 0.25 mg H1: o<0.25 mg b. Find the test statistic. x = (Round to three decimal places as needed.)
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