Statistics question

  1. The following data represents the state's ranking (1=above average, 2 = average, 3= below average) for six local school districts (i.e., the population).

District Rating

A 1

B 3

C 2

D 2

E 1

F 2

E 2943

  1. Based on the sales data from problem 1, find the following.

a) 2-period moving average and MSE

b) 4-period moving average and MSE

c) Forecast for periods t =13 and t =14. Which forecast is preferred, based on MSE?

d) Plot the sales data over time on the same plot as the 2 and 4-period moving averages with their forecasts. Comment on the plotted results.

  1. Based on the sales data from problem 1, find the following.

a) Linear trend equation

b) Forecast for periods t =13 and t =14.

c) Plot the sales data over time on the same plot as the linear trend. Comment on the plotted results.

  1. Monthly expenses for an advertising agency were obtained for the previous year. The sample of 12 expenses showed a mean of $196,000, with a standard deviation of $45,000. The office manager is budgeting for monthly expenses, and would like to know if it is reasonable to expect expenses to be below $250,000. Construct a 95% confidence interval to justify if $250,000 is reasonable.

Sample Solution