Question

a personnel director in a particular state claims that the mean annual income is greater in one of the states 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 $42,400 and a standard deviation of $8900. in county b, a random sample of 8 residents has a mean annual income of $38,000 and a standard deviation of $5100. at α = 0.05, 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 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 equal.\
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.\

Explanation:

The personnel director claims the mean annual income in County A is greater than in County B. Option A matches this claim. Option B claims equality, C claims A is less, and D claims they are not equal (not the specific claim here).

Answer:

A. "The mean annual income in county A is greater than in county B."