Homework 8 Math 281 Due: 11/27/17 Please show all of your work to receive full c

Question

Homework 8 Math 281 Due: 11/27/17 Please show all of your work to receive full credit. Be sure to include any formulas or caleulator commands used to solve each problem. Each homework assignment is worth 10 points. This ass Date: is due at the begining of class. Make sure to include all of the necessary steps for cach bypothes es ignment 1.) On homework 3 problem 1, I made a probability distribution for the "Money Making Game" which is a mini game from The Legend of Zelda on the NES. The mini game has you select one of the three rupees. the rupees will make you pay 10 or 40 rupees, while the other rupee will reward you with either 20 or 50 rupees. We found out from that homework problem that it was not wise to play the "Money Making Game" as the expected value of each game was about -1.67 rupees. Two of On an online forum (http://www.gamefags.com 51872) someone claimed that selecting the middle rupee will give you better odds of winning than selecting the other two rupces. ddle rupee To test this claim, I decided to play the mini game 150 times where each game I selected the mi significance level, test the claim that selecting the middle rupee will have different probab ilities than those provided in the probability distribution. Does it appear that the middle rupee has the probability distribution given below? If not, does it appear that selecting the middle rupee will increase my odds of winning? Money Making Game Relative Observed Expected 28 27 76 19 Profilos Relative Profitloss Frequenc $50.00 $20.00 -$10.00 $40.00 1/6 1/6 4/9 2/9

Explanation / Answer

Ans:

H0:middle rupee has specified distribution.

Ha:middle rupee does not have specified distribution.

For,expected count,multiply 150 by respective relative frequency.

Chi square score=7.990

n=4

df=4-1=3

p-value=chidist(7.990,3)=0.0462

As,p-value<0.05,we reject null hypothesis.

There is not enough evidence that middle rupee has the specified distribution.

profit/loss Observed(O) Expected(E) (O-E)^2/E 50 28 25 0.360 20 27 25 0.160 -10 76 66.67 1.307 -40 19 33.33 6.163 Total 150 150 7.990

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