Please show the work for the answers. Thank you so much!

Forbes magazine published data on the best small firms in 2012. These were firms that had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table below shows the ages of the corporate CEO's for a random sample of these firms. 48 58 51 61 56 59 74 63 53 50 59 60 60 57 46 55 63 57 47 55 57 43 61 62 49 67 67 55 55 49 (a). Use Stat crunch or any software of your choice to calculate (). The sample mean of the ages of these CEO's. Soln (in). The sample standard deviation of the ages of these CEO's. Soln (b). (). Use the t- distribution to construct a 90% confidence interval for the mean age of these CEO's. Soln (). Use the t- distribution to construct a 95% confidence interval for the mean age of these CEO's. Soln c). Which of the confidence intervals in b () and (ii) gives the more precise estimate? Explain your choice. Soln