Shooting Club
a Trap and Skeet Shooting Club Purchases Clay

Essay

Shooting club
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 breakage.Even as the pigeons are loaded into the throwing machine,broken or cracked pigeons may not be noticed.Each 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 packaging and thus more usable pigeons per case.The shooting club manager decides to purchase 10 cases from both suppliers.Each case has 250 pigeons.Careful records are maintained on each case as to the number of good pigeons.The records after the cases were used are as follows: $$\begin{array}{l}\text { Number of good pigeons }\\\begin{array} { | c | c | } \hline \text { Supplier 1 } & \text { Supplier 2 } \\\hline 234 & 222 \\237 & 225 \\240 & 219 \\241 & 221 \\234 & 218 \\235 & 226 \\241 & 230 \\246 & 219 \\240 & 208 \\243 & 213 \\\hline\end{array}\end{array}$$
-Use Excel or Minitab to conduct a two-sample t-test
Test the hypotheses: H₀: $\mu$ ₁ $\le$ $\mu$ ₂ H₁: $\mu$ ₁ > $\mu$ ₂ at the 5% significance level.What is your conclusion?