Question

1 Normal 1 No Spac H Paragraph HOW "FIT" IS YOUR DATA SET? Problem l: How random are your numbers? In this activity, find a friend, a family member or a class mate and ask them to give y 100 random digits (ranging from O to 9) from their head without the use of a calculat computer or a printed random table numbers. (3 4 4 2 1 64 8 9 078 6 555 etc) Then make a frequency table to determine how many times each digit is listed your observed frequencies) You can use the following table for this purpose: . (This Digits Observed Expected Frequency Frequency 7 10 10 10 10 10 10 10 10 10 10 100 0 9 4 18 6 15 12 4 100 8 Total Fill in the Observed Frequencies column in the table above, by counting how mar each number occurs in your friend's 100 random digit list. 1. 2. If your friend's random digits were really random (i.e. if each digit was equally like appear on the list), how many of each digit should there be? Put these numbers i

Answer 1

	Oi	Ei	(Oi-Ei)^2/Ei
0-10	7	10	0.9
10-.20	2	10	6.4
20-30	9	10	0.1
30-40	11	10	0.1
40-50	11	10	0.1
50-60	18	10	6.4
60-70	11	10	0.1
70-80	15	10	2.5
80-90	12	10	0.4
90-100	4	10	3.6
0	100	100	20.6
		critical value	16.91898
		p-value	0.01455

4)
i) Ho : the data follow the given distribution
Ha: The data does not follow given distribution

ii)
chi-square test of fit
iii)
TS = 20.6
iv)
df = r-1 = 9
v)
critical value = 16.9190
vi)
since TS >critical value
we reject the null hypothesis
vii)
No