To compare the stock-picking abilities of two brokerage rms. we compared the annual gain (excluding brokerage fees) for a 1000 euros investment in each of 30 stocks listed on each of the two rms' \"most recommended\" lists of stocks. The means and standard deviations (in dollars) for each of the two samples are shown in the accompanying table. We want to determine whether the data provide sufcient evidence to indicate a difference between the two brokerage rms in the mean return per recommended stock. Firm Sample Statistic 1 2 Sample size 30 30 Mean 264 199 Standard deviation 15? 111 a) State the null and alternative hypothesis for this test. b) Give the rejection region for this test for a signicance level of 5%. c} Conduct the test and state your conclusions