A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 6 residents has a mean annual income of $41,100 and a standard deviation of $8300. In County B, a random sample of 8
A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 6 residents has a mean annual income of $41,100 and a standard deviation of $8300. In County B, a random sample of 8
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A personnel director in a particular state claims that the
(a) Identify the claim and state
H0
and
Ha.
Which is the correct claim below?
"The mean annual income in county A is less than in county B."
"The mean annual income in county A is greater than in county B."
"The mean annual incomes in counties A and B are not equal."
"The mean annual incomes in counties A and B are equal."
What are H0 and Ha?
Which hypothesis is the claim?
The alternative hypothesis, Ha
The null hypothesis, H0
(b) Find the critical value(s) and identify the rejection region(s).
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Select the correct rejection region(s) below.
A.
t<−t0, t>t0
t<−t0
−t0<t<t0
t>t0
(c) Find the standardized test statistic.
t=
(Type an integer or decimal rounded to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the
enough evidence to support the personnel director's claim.
10%
significance level,
there is not/
there is
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