how do you do longhand?

(a) Identify the claim and state Ho and Ha

(b) Find the critical? value(s) and identify the rejection region(s).?

(c) Find the standardized test statistic.?

(d) Decide whether to reject or fail to reject the null hypothesis.?

(e) Interpret the decision in the context of the original claim.

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 E}. In County A, a random sample of '15 residents has a mean annual income of $42,000 and a standard deviation of $3500. In County l3, a random sample of 9 residents has a mean annual income of$30,500 and a standard deviation of $5300. At a: 0.01, 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 helovv? O A. "The mean annual incomes in Counties A and B are not equal." O B. "The mean annual incomes in Counties A and B are equal.\" (:3: {2. "The mean annual income in County A is greater than in County B." C) D. "The mean annual income in County A is less than in County El."