d. Test the hypothesis, at the 5% significance level, that Country B also has a mean of $1,100

Q. 2. Suppose Country B's government now reports that its population mean disposable household income is $1,000 per month, with a standard deviation of $150. Country A's population mean is $1,100, with a standard deviation of $310.

a. Which country has more variation in income? Explain using popular phrases, such as "gap between rich and poor." b. Each country defines the poverty level to be $755. If you assume that income has a normal distribution, find the probability that a household's income is below the poverty level in

i. Country A ii. Country B

Does it seem reasonable to assume a normal distribution? In general, is income symmetric or skewed?