STAT2012 - NOVEMBER 2005 EXAMINATION
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SHORT ANSWERS
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Section 1:

Q1. a ; Q2. d ; Q3. b ; Q4. e ; Q5. b

Q6. a ; Q7. c ; Q8. a ; Q9. e ; Q10. d

Section 2:

Q1. 

a) P value = 0.0547 and data are consistent with H0.

b) We have evidence against H0. (use the normal approximation).

Q2.

a) 0.852

b) 0.016 and 0.144

c) 0.984 and 0.856

Q3.

H=0.95 and the p value is large. The data are consistent with H0.

Q4.

a) 

i)  F=0.82
    Data are consistent with H0.
ii) Independent and normal

iii) 92.8

     a 90% CI is (61.162,160.832)
     
b) F=4.8

   No significant interaction.
   
Q5.

a) 
r=0.961
z=1.688
No evidence against H0.  
          
b)  

(i) errors are NID

(ii)

Fitted line is

hat y = 10.278+4.919x  

(iii) hat sigma^2 = 4.654

(iv)

obs t= -0.206

P value is large.

data are consistent with H0.