Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 141 drawings were made. For the purpose of this exercise, we grouped the numbers in to five categories: 1–7, 8–14, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Category 1–7 8–14 15– 21 22–28 29–35 Observed 22 20 29 32 38 Send data to Excel ) State the null and alternate hypotheses. H0: p1=p2=p3=p4=p5=? H1: Some or all of the actual probabilities differ/dont differ from those specified by H0.
Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 141 drawings were made. For the purpose of this exercise, we grouped the numbers in to five categories: 1–7, 8–14, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Category 1–7 8–14 15– 21 22–28 29–35 Observed 22 20 29 32 38 Send data to Excel ) State the null and alternate hypotheses. H0: p1=p2=p3=p4=p5=? H1: Some or all of the actual probabilities differ/dont differ from those specified by H0.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Is the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 141 drawings were made. For the purpose of this exercise, we grouped the numbers in to five categories: 1–7, 8–14, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator.
| Category |
1–7
|
8–14
|
15– 21
|
22–28
|
29–35
|
| Observed |
22
|
20
|
29
|
32
|
38
|
Send data to Excel
) State the null and alternate hypotheses.
|
H0: p1=p2=p3=p4=p5=?
H1: Some or all of the actual probabilities differ/dont differ from those specified by H0.
|
|
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