1) BEACH VACATION (5pts)
You take your family on a wonderful,relaxing vacation to the beach. About 15 minutes after you’vesettled into the perfect spot in the sand, your oldest child tellsyou he’s bored. To keep him busy you tell him to collect someshells, because you read online that the beach where you’re stayingis known for having lots of different colors of shells wash up onthe beach. A few days later he’s collected over 500 shells, and hetallies up how many of each color he has in the table below. You’recurious if his collection of shells has the same distribution ofcolors as the overall beach has, so you go online and find thedistribution of shell color percentages you should expect to findat that particular beach, and add those to your data table. Performa hypothesis test to determine if the color distribution of yourson’s seashell collection is what you’d expect at that beach. Useα = 0.10.
Step 1) How would you run this test inMINITAB (Menus, Functions used)?
| White | Red | Black | Orange | Blue | Other | Total |
# of Shells | 309 | 46 | 73 | 45 | 31 | 8 | |
Expected percentages | 57% | 12% | 14% | 8% | 6% | 3% | 100% |
