Q1) Sample of 40 golfers illustrated that their average score on the particular golf course was 94 with standard deviation of 6. 

 i) Determine the 99% confidence interval of mean score for all 40 golfers.

ii) Determine the 99% confidence interval of mean score for all golfers if this is sample of 70 golfers instead of a sample of 40.

iii) Which confidence interval is smaller and explain why?

Q2) Computer software programs for solving linear programs are eagerly available. Most of these provide the optimal solution, dual or shadow price information,  the range of optimality for objective function coefficients, and the range of feasibility for the right- hand sides.

Write down the advantages and disadvantages of using computer software for decision making.