#6)
H0: fits uniform distribution (probalities equal)
H1: does not fit uniform (at least 1 of probalities not equal)
test statistic:
pearson C2 approx= S((O-E)2/E)
= (31-29.4)2/29.4 + (42-29.4)2/29.4 +
(18-29.4)2/29.4 + (25-29.4)2/29.4 + (31-29.4)2/29.4
= 10.6531
critical value: X2 = 9.448 (assuming .05 significance level)
conclusion: Reject null.
#7)
Ho: the data fits the claimed distribution.
expected values: 147*30% for mon, 147*15% for tues, etc...
test statistic:
pearson X^2 approx = ((31-22.05)^2)/22.05 +...+ ((31-29.4)^2)/29.4 = 23.431
#11)
Ho: data fits the given distribution.
expected values: 88*.16= 14.08, 88*.14 = 38.72, etc...
test statistic:
pearson X^2 approx = ((36-14.08)^2)/14.08 + ((21-38.72)^2)/38.72... = 53.05