4. What is the critical value? 4. What is your decision regarding Ho? Reject Ho or don't reject Ho?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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QUESTION 2
A cigarette manufacturer wishes to test the claim that the variance of nicotine content of its cigarettes is less than
0.0644. Nicotine content is measured in milligrams and is assumed normally distributed. A sample of 20 cigarettes
has a mean of 1.00 milligram with a standard deviation 0.17. At 0.05 level of significance, is there enough evidence
to reject the manufacturer's claim?
1.State the test hypotheses. Ho:
vs. H₁:
2. what is its sampling distribution?( normal or t-student or Chi square or F distribution)
3. Find the test statistic
4. What is the critical value?
4. What is your decision regarding Ho? Reject Ho or don't reject Ho?
Transcribed Image Text:QUESTION 2 A cigarette manufacturer wishes to test the claim that the variance of nicotine content of its cigarettes is less than 0.0644. Nicotine content is measured in milligrams and is assumed normally distributed. A sample of 20 cigarettes has a mean of 1.00 milligram with a standard deviation 0.17. At 0.05 level of significance, is there enough evidence to reject the manufacturer's claim? 1.State the test hypotheses. Ho: vs. H₁: 2. what is its sampling distribution?( normal or t-student or Chi square or F distribution) 3. Find the test statistic 4. What is the critical value? 4. What is your decision regarding Ho? Reject Ho or don't reject Ho?
Sol" :-(1) The hull and alternative
hypotheses
Ho! o² = 0.0644 VS.
H₂₁:0² <0.0644
are:
(2) The sampling distribution of its
is Chi-Square test for
Population variance.
one
The claim is based on variance.
Normal and t-student dist" test
are used for poph mean & F-test
is used for equality of variances
(3) The test statistic is
x² = (n-1) s²
02
=
(20-1) X(0.17) ²
0.0644
X²=8.5264
Transcribed Image Text:Sol" :-(1) The hull and alternative hypotheses Ho! o² = 0.0644 VS. H₂₁:0² <0.0644 are: (2) The sampling distribution of its is Chi-Square test for Population variance. one The claim is based on variance. Normal and t-student dist" test are used for poph mean & F-test is used for equality of variances (3) The test statistic is x² = (n-1) s² 02 = (20-1) X(0.17) ² 0.0644 X²=8.5264
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