Solve the following:
Q1: A real estate agent claims that there is no difference between the mean household incomes of two neighborhoods. The mean income of 12 randomly selected households from the first neighborhood was $35750 with a sample standard deviation of $1900. In the second neighborhood, 10 randomly selected households had a mean income of $34200 with a sample standard deviation of $1825. Which two-sample test should you use for this situation?
Q2: Using a significance level of ±=0.01, determine if there is enough evidence to reject the real estate agent's claim. You must state the hypotheses, determine the test statistic, and either the P-value(s) or critical value(s). Finally, you must clearly state your conclusion. Round all answers to two decimal places.