MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 14 residents has a mean annual income of $40,300 and a standard deviation of $8900. In county B a random sample of 13 residents has a mean annual income of $38,400 and a standard deviation of $6000. At a=0.05, answer parts A-E. Assume the population variances are not equal. If convenient, use technology to solve.
Transcribed Image Text:(a) Identify the claim and state Ho and Ha
Which is the correct claim below?
O A. "The mean annual income in county A is less than in county B."
OB. "The mean annual income in county A is greater than in county B."
O C. "The mean annual incomes in counties A and B are not equal."
O D. "The mean annual incomes in counties A and B are equal."
What are Ho and H₂?
The null hypothesis, Hō, is
Which hypothesis is the claim?
The alternative hypothesis, Ha
The null hypothesis, Ho
The alternative hypothesis, H₂, is
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
(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.
OA. t>to
OB. -to <t<to
OC. t<-to. t>to
Transcribed Image Text:(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
(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.
OA. t>to
OB. -to <t<to
ⒸC. t<-to, t>to
OD. t< -¹
(c) Find the standardized test statistic.
(Type an integer or decimal rounded to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 5% significance level,
enough evidence to support the personnel director's claim.
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