1. Given the following information about a hypothesis test of the difference between two means based on independent random samples, which one of the following is the correct rejection region at a significance level of 0.05? Assume equal variances. 2. When testing Ho: M1 - M2 2, where x 1 = 522, x 2= 516, s12 = 28, $22 = 24, n1 = 40, n2 = 30, at a = 0.01, what is the critical value? (Assume unequal variances and df = 64) 3. A real estate company is interested in testing whether, on average, families in Gotham have been living in their homes different amounts of time than families in Metropolis have. Random samples yield the following results. Assuming equal variances and normal distributions, what is the value of the test statistic t? Gotham Metropolis number sampled: 100 150 Average: 35 months 45 months Standard deviation: 20 months 25 months . A real estate company is interested in testing whether, on average, families in Gotham have been living in their homes different amounts of time than families in Metropolis have. Random samples yield the following results. Assuming equal variances and normal distributions. What is the value of the pooled variance estimate? Gotham Metropolis number sampled: 100 150 Average: 35 months 45 months Standard deviation: 20 months 25 months 5. The controller of a chain of toy stores is interested in determining whether there is any difference in the weekly sales of store 1 and store 2. The weekly sales are normally distributed. This problem should be analyzed using an independent means method