A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 18 residents has a mean annual income of $41,000 and a standard deviation of $8600. In County B, a random sample of 8 residents has a mean annual income of $38,100 and a standard deviation of $5800. At a = 0.10, answer parts (a) through (e). Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. (a) Identify the claim and state Ho and H. Which is the correct claim below? OA. "The mean annual incomes in Counties A and B are equal." O B. "The mean annual income in County A is greater than in County B." O C. "The mean annual income in County A is less than in County B." O D. "The mean annual incomes in Counties A and B are not equal." What are Ho and H,? The null hypothesis, Ho, is µ1 = H2: The alternative hypothesis, Ha, is µ1 # 42: Which hypothesis is the claim? V The null hypothesis, Ho O The alternative hypothesis, Ha (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.)
A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 18 residents has a mean annual income of $41,000 and a standard deviation of $8600. In County B, a random sample of 8 residents has a mean annual income of $38,100 and a standard deviation of $5800. At a = 0.10, answer parts (a) through (e). Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. (a) Identify the claim and state Ho and H. Which is the correct claim below? OA. "The mean annual incomes in Counties A and B are equal." O B. "The mean annual income in County A is greater than in County B." O C. "The mean annual income in County A is less than in County B." O D. "The mean annual incomes in Counties A and B are not equal." What are Ho and H,? The null hypothesis, Ho, is µ1 = H2: The alternative hypothesis, Ha, is µ1 # 42: Which hypothesis is the claim? V The null hypothesis, Ho O The alternative hypothesis, Ha (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.)
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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Transcribed Image Text:A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 18 residents has a mean annual income of
$41,000 and a standard deviation of $8600. In County B, a random sample of 8 residents has a mean annual income of $38,100 and a standard deviation of $5800. At a = 0.10, answer parts (a) through (e). Assume the population variances are
not equal. Assume the samples are random and independent, and the populations are normally distributed.
(a) Identify the claim and state H, and Ha.
Which is the correct claim below?
A. "The mean annual incomes in Counties A and B are equal."
B. "The mean annual income in County A is greater than in County B."
C. "The mean annual income in County A is less than in County B."
D. "The mean annual incomes in Counties A and B are not equal."
What are H, and H?
The null hypothesis, Ho, is µ1 = 2. The alternative hypothesis, Ha, is µ1 # µ2.
Which hypothesis is the claim?
The null hypothesis, Ho
The alternative hypothesis, Ha
(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.)
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