In: Statistics and Probability
1) BEACH VACATION (5 pts)
You take your family on a wonderful, relaxing vacation to the beach. About 15 minutes after you’ve settled into the perfect spot in the sand, your oldest child tells you he’s bored. To keep him busy you tell him to collect some shells, because you read online that the beach where you’re staying is known for having lots of different colors of shells wash up on the beach. A few days later he’s collected over 500 shells, and he tallies up how many of each color he has in the table below. You’re curious if his collection of shells has the same distribution of colors as the overall beach has, so you go online and find the distribution of shell color percentages you should expect to find at that particular beach, and add those to your data table. Perform a hypothesis test to determine if the color distribution of your son’s seashell collection is what you’d expect at that beach. Use α = 0.10.
Step 1) How would you run this test in MINITAB (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% |