We roll the dice 20 times. The results we obtained are presented in the table. obtained...

We roll the dice 20 times. The results we obtained are presented in the table.

obtained number	1	2	3	4	5	6
number of throws	1	1	7	4	4	3

a) The value of the relevant test statistics is:

b) Assuming the significance level of 0.05, it can be considered that the dice used to roll IS / IS NOT FAIR

Solutions

Expert Solution

	o -- observed	E-- expected

		CALCULATION TABLE
number	O	Total of frequency	E	O-E	(O-E)2/E
1	1	20	3.333333333	-2.333333333	1.633333333
2	1	20	3.333333333	-2.333333333	1.633333333
3	7	20	3.333333333	3.666666667	4.033333333
4	4	20	3.333333333	0.666666667	0.133333333
5	4	20	3.333333333	0.666666667	0.133333333
6	3	20	3.333333333	-0.333333333	0.033333333
SUM=	20		20		7.6
	E = 20/6 =	3.333333333

	H0: Dice is fair
	H1: Dice is not fair
	The significance level = 0.05
	df= 6-1=5
	a) The value of the relevant test statistics is:
a)	CHI SQUARE =	7.6
b)	Critical value of chi square = 11.07
	7.6 < 11.07
	Reject H0
	so we conclude that dice is not fair

orchestra answered 1 year ago

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