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 H:0+0.25 mg ОВ. Н; о0.25 mg H:6 =0.25 mg Ос. На: в> 0.25 mg H:os0.25 mg O D. Ho: o = 0.25 mg H:o<0.25 mg b. Find the test statistic. 2= (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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?
Ho: o = 0.25 mg
H1: 0#0.25 mg
B. Ho: 0+ 0.25 mg
H1: 0 = 0.25 mg
Họ: o > 0.25 mg
H: os0.25 mg
D. Ho: o = 0.25 mg
H1: 0<0.25 mg
b. Find the test statistic.
x2 = (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? Ho: o = 0.25 mg H1: 0#0.25 mg B. Ho: 0+ 0.25 mg H1: 0 = 0.25 mg Họ: o > 0.25 mg H: os0.25 mg D. Ho: o = 0.25 mg H1: 0<0.25 mg b. Find the test statistic. x2 = (Round to three decimal places as needed.)
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