Question 18 Your answer is CORRECT. This is a written question, worth 10 points,

Question

Question 18 Your answer is CORRECT. This is a written question, worth 10 points, DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for ful credit. Problem Code: 1881 uppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be: 6 162/3 % | 162/3%-1 162/3 % 1 162.3% 1 1623% | 162.3% You roll the die 84 times and come up with the following distribution: 6 12 11 20 13 15 13 Part a: What type of test should be used in this situation? Part b: State the hypothesis. Part e: What is the test statistic? Part d: Find the p-value and state your conclusion. a)" I have placed my work and my answer on my answer sheet.

Explanation / Answer

Ans:

a)Chi square test for goodness of fit.

b)

H0:die is fair i.e all outcomes are equally likely

Ha:die is not fair i.e. die is loaded.

c)

Expected count=84/6=14

Test statistic:

calculated chi square score=3.714

d)n=6

df=6-1=5

p-value=CHIDIST(3.714,5)=0.5913

Observed(O) Expected(E) (O-E)^2/E 1 12 14 0.286 2 11 14 0.643 3 20 14 2.571 4 13 14 0.071 5 15 14 0.071 6 13 14 0.071 Total 84 84 3.714

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