A Fund Company would like to estimate the average daily price of a particular stock in a 10-year period with a 90% confidence level and a margin of error within plus or minus $2.00.Assuming the standard deviation $12.50 over this period of time, determine the required sample size. (include all formulas,identify all variables,show allcalculations, and draw and shade your distributions)

Identify the following variables (omit thedollar signs):

a.z =

b.standard deviation =

c.margin of error =

d.The required sample size is