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 6 residents has a mean annual income of $42,000 and a standard deviation of $9000. In County B, a random sample of 8 residents has a mean annual income of $40,000and a standard deviation of $6000.At α=0.10, answer parts (a) through (e). 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 countyB."
B. "The mean annual incomes in counties A and B are equal."
C. "The mean annual income in county A is less than in countyB."
D. "The mean annual incomes in counties A and B are notequal."