#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