A simple random sample of 29 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? A. H0: sigmaσnot equals≠0.350.35 mg Upper H 1 : sigma equals 0.35H1: σ=0.35 mg B. H0: sigmaσequals=0.350.35 mg Upper H 1 : sigma less than 0.35H1: σ<0.35 mg C. H0: sigmaσgreater than>0.350.35 mg Upper H 1 : sigma less than or equals 0.35H1: σ≤0.35 mg D. H0: sigmaσequals=0.350.35 mg Upper H 1 : sigma not equals 0.35H1: σ≠0.35 mg Your answer is correct. b. Find the test statistic. chi squaredχ2equals=?? (Round to three decimal places as needed.)
A simple random sample of 29 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? A. H0: sigmaσnot equals≠0.350.35 mg Upper H 1 : sigma equals 0.35H1: σ=0.35 mg B. H0: sigmaσequals=0.350.35 mg Upper H 1 : sigma less than 0.35H1: σ<0.35 mg C. H0: sigmaσgreater than>0.350.35 mg Upper H 1 : sigma less than or equals 0.35H1: σ≤0.35 mg D. H0: sigmaσequals=0.350.35 mg Upper H 1 : sigma not equals 0.35H1: σ≠0.35 mg Your answer is correct. b. Find the test statistic. chi squaredχ2equals=?? (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
A simple random sample of
normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of
29
filtered 100-mm cigarettes is obtained from a 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?
H0:
sigmaσnot equals≠0.350.35
mgUpper H 1 : sigma equals 0.35H1: σ=0.35
mgH0:
sigmaσequals=0.350.35
mgUpper H 1 : sigma less than 0.35H1: σ<0.35
mgH0:
sigmaσgreater than>0.350.35
mgUpper H 1 : sigma less than or equals 0.35H1: σ≤0.35
mgH0:
sigmaσequals=0.350.35
mgUpper H 1 : sigma not equals 0.35H1: σ≠0.35
mgb. Find the test statistic.
chi squaredχ2equals=??
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