question 4b

\fQuestion 4. A Financial Analyst is studying the effects of COVID on the stock market. They randomly pick an SR5 sample of stocks from each of 4 economic industries which they believe represent the stock market: Finance [F], Services {5}, Technology {T}, and Manufacturing {M}. The industries comprise 10% {F}, 50% (5}, 35% {M} and 5% {T} of the stocks in the market. They record the percent change in the stock since the start of COVID, and their last quarterly dividend. You may assume that in the population there are a total of 89 {F}, 45 (T), 312 {M} and 445 {5} stocks. %Change DiuidendtSIshare} Industry 412% 0.05 F -5% 0.01 F 4.1% 0.75 F Part Bi. Build a 90% confidence interval for the mean 91': Change in stock price for those stocks that give a dividend in the service industry. Part Bii. How manlyr Service stocks should we sample if we want to be accurate to within a % Change of 5, 9 times out of 10 [for those stocks that give a dividend]