A company produced metal pipes of a standard length and claims that the standard deviation of the length is at most 1.2
Posted: Mon Sep 06, 2021 7:08 am
A company produced metal pipes of a standard length and claims
that the standard deviation of the length is at most 1.2 cm.
One of its clients decides to test this claim by taking a sample
of 25 pipes and checking their lengths.
The standard deviation for the sample was found to be 1.5
cm.
Use α=0.05 α=0.05 as the level of significance.
Test the following hypotheses.
H0:σ=1.2 versus H1:σ≠1.2. H0:σ=1.2 versus H1:σ≠1.2.
Equivalently, we have the hypotheses:
H0:σ2=1.44 versus H1:σ2≠1.44.H0:σ2=1.44 versus H1:σ2≠1.44.
Answer the following questions.
What is the value of the test statistic? Give your answer
precise to one decimal place (e.g., 10.8, 4.3, 0.9).
The rejection region is of the form (−∞,a]∪[b,∞).
(−∞,a]∪[b,∞).
What is the value of a? (Write your answer precise to
three decimal places, e.g., 3.421, 8.763.)
What is the value of b? (Write your answer precise to
three decimal places, e.g., 3.421, 8.763.)
The outcome of the test is to the null hypothesis.
Write "reject" or "not reject" (without the quotation marks).
that the standard deviation of the length is at most 1.2 cm.
One of its clients decides to test this claim by taking a sample
of 25 pipes and checking their lengths.
The standard deviation for the sample was found to be 1.5
cm.
Use α=0.05 α=0.05 as the level of significance.
Test the following hypotheses.
H0:σ=1.2 versus H1:σ≠1.2. H0:σ=1.2 versus H1:σ≠1.2.
Equivalently, we have the hypotheses:
H0:σ2=1.44 versus H1:σ2≠1.44.H0:σ2=1.44 versus H1:σ2≠1.44.
Answer the following questions.
What is the value of the test statistic? Give your answer
precise to one decimal place (e.g., 10.8, 4.3, 0.9).
The rejection region is of the form (−∞,a]∪[b,∞).
(−∞,a]∪[b,∞).
What is the value of a? (Write your answer precise to
three decimal places, e.g., 3.421, 8.763.)
What is the value of b? (Write your answer precise to
three decimal places, e.g., 3.421, 8.763.)
The outcome of the test is to the null hypothesis.
Write "reject" or "not reject" (without the quotation marks).