A simple random sample of 30 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 0.22 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 0.35 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? OA Ho: a> 0.35 mg B. Ho: a= 0.35 mg H: a40.35 mg H:as0.35 mg OC. H: o+0.35 mg H:o = 0.35 mg OD. H: o= 0.35 mg H:a<0.35 mg b. Find the test statistic. 2= (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A simple random sample of 30 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 0.22 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 0.35 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?
O A. Ho: o>0.35 mg
H:os0.35 mg
B. Ho 0= 0.35 mg
H: 0+ 0.35 mg
OC. H: o 0.35 mg
OD. Ho: 6= 0.35 mg
H:0 =0.35 mg
H: a<0.35 mg
b. Find the test statistic.
2= (Round
three decimal places as needed.)
Transcribed Image Text:A simple random sample of 30 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 0.22 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 0.35 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? O A. Ho: o>0.35 mg H:os0.35 mg B. Ho 0= 0.35 mg H: 0+ 0.35 mg OC. H: o 0.35 mg OD. Ho: 6= 0.35 mg H:0 =0.35 mg H: a<0.35 mg b. Find the test statistic. 2= (Round three decimal places as needed.)
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