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? B. H 6 =0.35 mg H;: 0#0.35 mg O D. H, o+0.35 mg H: 0 = 0.35 mg O A. Ho o> 0.35 mg H,: os0.35 mg O C. H, o =0.35 mg H: o<0.35 mg b. Find the test statistic. = (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?
YB. H, 6 = 0.35 mg
O A. H, o> 0.35 mg
H1: o50.35 mg
H: o#0.35 mg
O C. Ho 0 = 0.35 mg
H: o< 0.35 mg
O D. Ho: o+ 0.35 mg
Hj: 0 = 0.35 mg
b. Find the test statistic.
(Round to 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? YB. H, 6 = 0.35 mg O A. H, o> 0.35 mg H1: o50.35 mg H: o#0.35 mg O C. Ho 0 = 0.35 mg H: o< 0.35 mg O D. Ho: o+ 0.35 mg Hj: 0 = 0.35 mg b. Find the test statistic. (Round to three decimal places as needed.)
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