Question: Testing the difference between two means. (a) identify the claim and state Hο and Ha?, (b) find the critical value(s) and identify the rejection region, (c) find the standardized test statistic, (d) decide whether you should reject or fail to reject the null hypothesis, and (e) Interpret the decision in the context of the original claim. Assume the populations have normal distributions.

Annual wages. A random sample of 17 residents of Delaware County in Pennsylvania has a mean annual income of $35,800 and a standard deviation of $7800. In Greene County in Penn., a random sample of 18 residents has a mean annual income of $35,100 and a standard deviation of $7375. Test the claim at α = 0.01 that the mean annual incomes in Delaware and Greene counties are not the same. Assume the population variances are equal. Hint – for n > 29, use the last row (oo) in the t-distribution table.