THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A trap and skeet shooting club,purchases clay pigeons.These are quite fragile and often break in the box during shipment without any outward sign of damage.Even as the clay pigeons are loaded into the throwing machine,broken or cracked clay pigeons may not be noticed.Each clay pigeon broken is a net loss to the club so the club is anxious to purchase from suppliers who have a record of little or no breakage in shipping and handling.Two suppliers of clay pigeons are contacted and asked for price quotes.Supplier 1 quotes a higher price than Supplier 2 but says that the higher price is the result of better,more expensive packaging and thus results in more usable clay pigeons per case.The shooting club manager decides to purchase 10 cases from each supplier.Each case has 250 clay pigeons.Careful records are maintained on each case as to the number of good clay pigeons.The records after the cases were used are as follows:
Number of good clay pigeons

-Using results of Excel or Minitab to conduct a two-sample t-test,test
H₀ : μ₁ - μ₂ ≤ 0 vs.H₁ : μ₁ - μ₂ > 0 at the 5% significance level.