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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 17 residents has a mean annual income of $42,200 and a standard deviation of $8300. In County B, a random sample of 14 residents has a mean annual income of $39,900 and a standard deviation of $5900. At a = 0.05, 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 Ha. Which is the correct claim below? O A. "The mean annual income in County A is greater than in County B." O B. "The mean annual incomes in Counties A and B are equal." OC. "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 The alternative hypothesis, Ha, is Which hypothesis is the claim? O The alternative hypothesis, H, The null hypothesis, Ho

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 17 residents has a mean annual income of $42,200 and a standard deviation of $8300. In County B, a random sample of 14 residents has a mean annual income of $39,900 and a standard deviation of $5900. At a = 0.05, 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 Ha. Which is the correct claim below? O A. "The mean annual income in County A is greater than in County B." O B. "The mean annual incomes in Counties A and B are equal." OC. "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 The alternative hypothesis, Ha, is Which hypothesis is the claim? O The alternative hypothesis, H, The null hypothesis, Ho

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 17 residents has a mean annual income of $42,200 and a standard deviation of $8300. In County B, a random sample of 14 residents has a mean annual income of $39,900 and a standard deviation of $5900. At a = 0.05, 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 Ha. Which is the correct claim below? O A. "The mean annual income in County A is greater than in County B." O B. "The mean annual incomes in Counties A and B are equal." OC. "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 The alternative hypothesis, Ha, is Which hypothesis is the claim? O The alternative hypothesis, H, The null hypothesis, Ho
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 17 residents has a mean annual income of $42,200 and a standard deviation of $8300. In County B, a random sample of 14 residents has a mean annual income of $39,900 and a standard deviation of $5900. At a = 0.05, 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 Ha. Which is the correct claim below? O A. "The mean annual income in County A is greater than in County B." O B. "The mean annual incomes in Counties A and B are equal." OC. "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 The alternative hypothesis, Ha, is Which hypothesis is the claim? O The alternative hypothesis, H, The null hypothesis, Ho
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