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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
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.
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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