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.)

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
icon
Related questions
Question

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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill