From your allocated dataset: 1. 2. 10. Calculate the sample mean. Calculate the sample standard deviation. . Plot a histogram and Q-Q Plot of your data against the normal distribution. Comment on whether the data appears to be normally distributed or not (2 sentences max). . Discuss if assumptions required for the sample mean to be nearly normal are satisfied (3 sentences max). . Assuming the assumptions are satisfied. calculate the standard error of the mean. . Calculate a 95% confidence interval for the average year-todate stock return of S&P 500 companies. . Calculate a 99% confidence interval for the average year-todate stock return of S&P 500 companies. . Perform a hypothesis test which tests if the average year-to-date stock return of S&P 500 companies is equal to zero. Clearly setup your hypothesis test and report a pvalue (to 3 significant figures). . Would you reject the null hypothesis using a significance level of o: = 0.05? Would you reject the null hypothesis using a significance level of a = 0.01? [1] l1] l4] [1] [1]