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$41,200 and a standard deviation of $8600. In County B, a random sample of 8 residents has a mean annual income of $38,600 and a standard deviation of $5200. At a=0.05, answer parts (a) through (e). Assume the population variances arenot equal. If convenient, use technology to solve the problem.(a) Identify the claim and state Ho and Ha-Which is the correct claim below?A. The mean annual incomes in counties A and B are not equal."B. "The mean annual income in county A is greater than in county B."OC. "The mean annual income in county A is less than in county B."OD. "The mean annual incomes in counties A and B are equal."What are Ho and H₂?The null hypothesis, Ho, isThe alternative hypothesis, H., isH1 H2H₁ H₂H₁ H₂

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Answered: A personnel director in a particular…

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 12 residents has a mean annual income of $40,800 and a standard deviation of $8800. In County B, a random sample of 10 residents has a mean annual income of $40,000 and a standard deviation of $5800. At a = 0.005, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem. (a) Identify the claim and state H, 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 income in county A is less than in county B." C. "The mean annual incomes in counties A and B are not equal." D. "The mean annual incomes in counties A and B are equal." What are Ho and H,? The null hypothesis, Ho, is µ1 sH2 - The alternative hypothesis, Ha, is µ1 > H2 - Which…
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1. The fuel efficiency of a new model pick-up truck (truck) is measured in miles per gallon (mpg). A company claims that their new truck gets 25 mpg on average. A consumer group thinks the company is lying and claims that the mean mileage for all the trucks is less than 25 mpg. In a random sample, of forty-five of these trucks the mean mpg was 23.3 mpg with a standard deviation of 5.1 mpg. a. Conduct a hypothesis test to test the consumer group's claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p- value, whether or not you reject Ho and whether you support the claim. b. Write a complete sentence describing what a Type I error is in context. c. Write a complete sentence describing what a Type II error is in context.
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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 18 residents has a mean annual income of $41,100 and a standard deviation of $8200. In County B, a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $5900. At a= 0.10, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem. The null hypothesis, Ho (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. O A. - to to O D. t>to (c) Find the standardized test statistic. t= E (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to…
Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $57,636$⁢57,636, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 3737 colleges in the state and calculate a mean salary of $52,534$⁢52,534 with a standard deviation of $15,791$⁢15,791. Test the instructors' claim at the 0.050.05 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.

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