A personnel director in a particular state ciaims 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 17 residents has a mean annual income of $41,100 and a standard deviation of $8100. In County B. a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $6000. At a=0.05, answer. Assume the population variances are not equal. If convenient, use technology to solve the problem. Identify the claim and state Hg and Ha- Which is the correct claim below? OA. "The mean annual income in county A is greater than in county B." OB. "The mean annual incomes in counties A and B are not equal." OC. "The mean annual incomes in counties A and B are equal. O D. "The mean annual income in county A is less than in county B." What are Ho and H? The null hypothesis, Ho, is V. The alternative hypothesis, Ha, is Which hypothesis is the claim? O The null hypothesis, Ho O The altemative hypothesis, H Decide whether to reject or fail to reject the null hypothesis. V the null hypothesis. Interpret the decision in the context of the original claim. At the 5% significance level, V enough evidence to support the personnel director's daim
A personnel director in a particular state ciaims 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 17 residents has a mean annual income of $41,100 and a standard deviation of $8100. In County B. a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $6000. At a=0.05, answer. Assume the population variances are not equal. If convenient, use technology to solve the problem. Identify the claim and state Hg and Ha- Which is the correct claim below? OA. "The mean annual income in county A is greater than in county B." OB. "The mean annual incomes in counties A and B are not equal." OC. "The mean annual incomes in counties A and B are equal. O D. "The mean annual income in county A is less than in county B." What are Ho and H? The null hypothesis, Ho, is V. The alternative hypothesis, Ha, is Which hypothesis is the claim? O The null hypothesis, Ho O The altemative hypothesis, H Decide whether to reject or fail to reject the null hypothesis. V the null hypothesis. Interpret the decision in the context of the original claim. At the 5% significance level, V enough evidence to support the personnel director's daim
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 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 17 residents has a mean annual income of $41,100 and a standard deviation of $8100. In County B, a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $6800. At α = 0.05, answer. Assume the population variances are not equal. If convenient, use technology to solve the problem.
**Identify the claim and state H₀ and Hₐ.**
Which is the correct claim below?
- A. “The mean annual income in county A is greater than in county B.”
- B. “The mean annual incomes in counties A and B are not equal.”
- C. “The mean annual incomes in counties A and B are equal.”
- D. “The mean annual income in county A is less than in county B.”
What are H₀ and Hₐ?
The null hypothesis, H₀, is [ Select the correct option ].
The alternative hypothesis, Hₐ, is [ Select the correct option ].
Which hypothesis is the claim?
- The null hypothesis, H₀
- The alternative hypothesis, Hₐ
**Decide whether to reject or fail to reject the null hypothesis.**
[ Select ] the null hypothesis.
**Interpret the decision in the context of the original claim.**
At the 5% significance level, [ Select Option: is/is not ] enough evidence to support the personnel director’s claim.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fb09a63-08e6-4135-872e-8c3d49f0eed8%2F97310c7e-b222-40e3-930f-ed5481b52116%2F8iorc28_processed.png&w=3840&q=75)
Transcribed Image Text: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 17 residents has a mean annual income of $41,100 and a standard deviation of $8100. In County B, a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $6800. At α = 0.05, answer. Assume the population variances are not equal. If convenient, use technology to solve the problem.
**Identify the claim and state H₀ and Hₐ.**
Which is the correct claim below?
- A. “The mean annual income in county A is greater than in county B.”
- B. “The mean annual incomes in counties A and B are not equal.”
- C. “The mean annual incomes in counties A and B are equal.”
- D. “The mean annual income in county A is less than in county B.”
What are H₀ and Hₐ?
The null hypothesis, H₀, is [ Select the correct option ].
The alternative hypothesis, Hₐ, is [ Select the correct option ].
Which hypothesis is the claim?
- The null hypothesis, H₀
- The alternative hypothesis, Hₐ
**Decide whether to reject or fail to reject the null hypothesis.**
[ Select ] the null hypothesis.
**Interpret the decision in the context of the original claim.**
At the 5% significance level, [ Select Option: is/is not ] enough evidence to support the personnel director’s claim.
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