Answered: simple random sample of 26 filtered…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

A simple random sample of 26 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 0.20 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 0.30 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below.
Question content area bottom
Part 1
a. What are the null and alternative hypotheses?
A.
H0: σ=0.30 mg
H1: σ<0.30 mg
B.
H0: σ=0.30 mg
H1: σ≠0.30 mg
C.
H0: σ>0.30 mg
H1: σ≤0.30 mg
D.
H0: σ≠0.30 mg
H1: σ=0.30 mg
Part 2
b. Find the test statistic.
χ2=enter your response here (Round to three decimal places as needed.)
Part 3
c. Find the P-value of the test statistic.
The P-value of the test statistic is enter your response here.
(Round to three decimal places as needed.)
Part 4
d. State the conclusion.
▼
Reject
Fail to reject
H0. There
▼
is
is not
sufficient evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.30 mg.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution