Week 9
Observed data
| Color | Blue | Orange | Green | Yellow | Red | Brown | Total |
| Number of m&m’s | 21 | 17 | 23 | 19 | 15 | 14 | 109 |
| Percent of Total | 19.3% | 15.6% | 21.1% | 17.4% | 13.8% | 12.8% | 100% |
Expected data
| Color | Blue | Orange | Green | Yellow | Red | Brown | Total |
| Percent of Total | 24% | 20% | 16% | 14% | 13% | 13% | 100% |
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Null hypothesis:
The distribution of plain m&ms follows the data published by the Mars candy company and shown in the expected data table above.
Alternate hypothesis:
The distribution of plain m&ms does not follow the data published by the Mars candy company.
Using the calculator;
Degrees of Freedom is 5 with an the critical value is 11.070. The chi-square test statistic is less than the critical value and therefore we accept the null hypothesis.
Week 10
The critical value from the F table is 3.44. The test statistic is 0.3732. The p-value is 0.6928.
From the data above, 0.3732 is not greater than the critical value of the 3.44 and therefore we accept the null hypothesis. That is there is no significant difference in the hours of sleep of people in different income levels.
Week 11
The pair of variables that has a strong linear relationship are the altitude and the temperature of a region. As the altitude increases, the temperature decreases. Here is a table portraying this.
Source: http://meteorologytraining.tpub.com/14269/css/14269_75.htm
Week 14
2’s and 3’s
The probability game is called 2’s and 3’s. In this game, 5 dice are required with the maximum number of players not exceeding five. The rules are simple, the 5 dice are simultaneously rolled using a dice roller and the results are observed. From the observation, if there are dice that have 2 or 3 dots they are removed from the bunch and the total of the remaining dots are written down on paper under the name of the player currently rolling the dice. If there are remaining dice on the player rolls the dice again and if there are dice with 2 or 3 dots they are removed again and the ones remaining are added to the points that were initially recorded for the player. This process is repeated until the dice for the player end. Once the dice end, the next player rolls the dice again and the same procedure is followed.
All players must play a total of 10 rounds and once that is done, the totals are compiled and the winner is determined. In a scenario involving my classmate, I got a total score of 150 while my classmate scored 147. The game was well designed and the instructions clear. The only way to mathematically verify the outcome received is through probability analysis and summation of the total result.
References
Integrated Publishing, I. (2018). Table 1-6.U.S. Standard Atmosphere Heights and Temperatures. Retrieved from http://meteorologytraining.tpub.com/14269/css/14269_75.htm
How Can One Make a Probability Board Game?. (2018). Retrieved from https://www.reference.com/hobbies-games/can-one-make-probability-board-game-bda87edf21af8116
