A simple random sample of 28 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,: o<0.35 mg B. Ho: o = 0.35 mg H:0+0.35 mg O C. Ho: o > 0.35 mg O D. Ho: o + 0.35 mg H1: o = 0.35 mg H1:os0.35 mg

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Find the test statistic.

Find the​ P-value of the test statistic.

State the conclusion.

A simple random sample of 28 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,: o<0.35 mg
B. Ho: o = 0.35 mg
H,: o#0.35 mg
O C. Ho: o> 0.35 mg
H1: os0.35 mg
OD.
o+0.35 mg
H1: 0 = 0.35 mg
b. Find the test statistic.
(Round to three decimal places as needed.)
Transcribed Image Text:A simple random sample of 28 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,: o<0.35 mg B. Ho: o = 0.35 mg H,: o#0.35 mg O C. Ho: o> 0.35 mg H1: os0.35 mg OD. o+0.35 mg H1: 0 = 0.35 mg b. Find the test statistic. (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman