Let Y be a normal random variable with mean 4 and let X be a normal random variable with mean 4. Suppose the variance of the distribution of Y is greater than the variance of the distribution of X. Then (i) P(X>4) > P(Y>4)

(ii) P(X>4) < P(Y>4) (iii) P(X>4) = P(Y>4) (iv) Not enough information to answer the question

A journalist for a business magazine is working on a story about the cost of housing in Austin, Texas, compared to that in Dallas. She suspects that the average cost of a two-bedroom house in Austin is greater than that of a two-bedroom house in Dallas. In order to test this, she would like to run a test of hypothesis.

a) What is/are the population(s) of interest to her? b) What is the variable of interest to her? c) Clearly state the null and alternative hypotheses that she would like to te