The Economics of Roll Up the Rim to Win. Roll up the Rim (RUTR) is a great Canadian tradition. Once a year Canadians flock to Tim Horton's to buy their coffees in the hopes of winning something wonderful. According to a Tim Horton's website, just by buying a cup of coffee at Tim Horton's you could win one of many great prizes (let's say a total of 260,959,840 RUTR cups are printed): Suppose you took a sample of 55,000 cups... Data from the sample, are saved in the Download .csv file. (a) We must group the prizes: Toyota RAV4 Vehicles, $5,000 MasterCard Prepaid, Napoleon Gourmet Grills, and $100 Tim Cards in to one category, called "Big Prizes." Explain why this necessary. a) less than b) more than a) less than a expected bmore than The sum of the observeM frequencies was 3 more than or equaldive, and it needed to be cmore than or equal fo ive. d) less than or equal to d) less than or equal to (b) Find the expected number of "Big Prizes" (Use one decimal) a) Туре I (c) If a = 5%, what type of error could have been made? P) Typel c) Type ll d) Type IV a) do b) do not c) may d) may not a) not b) significantly close to (d) Explain the meaning of a Type I error in the context of the above test. A type I error would mean that our goodness of fit test indicates the given distribution of prizes was ? v accurate when, in truth, the prizes really ? v follow the advertised distribution.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
|
prize |
Probability.of.winning |
Number.of.observed.wins |
Expected.wins |
1 |
Toyota Rav4 |
1.4e-07 |
0 |
0.0077 |
2 |
$5000.00 |
6.54e-07 |
0 |
0.03597 |
3 |
Gourmet Grill |
7.141e-06 |
0 |
0.392755 |
4 |
$100 Tims Card |
0.000187653 |
10 |
10.320915 |
5 |
Free Doughnut |
0.04911546 |
2713 |
2701.3503 |
6 |
Free Coffee |
0.189427121 |
10211 |
10418.491655 |
7 |
Try again |
0.761261831 |
42066 |
41869.400705 |
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