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Answers: COMM5005 Final Exam November 2009
Part A
Q1 (e)
Q2 (b)
Q3 (d)
Q4 (a)
Q5 (b)
Q6 (b)
Q7( c)
Q8 (d)
Q9 (c)
Q10 (b)
Q11 (d)
Q12(c)
Q13 (a)
Q14 (b)
Q15 (e)
Q16 (b)
Q17 (c)
Q18 (e)
Q19 (c)
Q20 (c)
Part B
Problem 1
(i)
Profit=300x+200y
Subject to
2
80
50
2
80
,0
xy
+≤
≥
(ii)
(iii)
Maximum at x = 30 y = 20 where Profit = 13,000
(iv)
Profit=180x+80y
Maximum at x = 40 y = 0 where Profit = 7200
Problem 2
(a)H
0
:
π
=0.056
H
1
:
π
>0.056
Check n
π
=9.52 >5 and n(1
π
)=160.48>5
Test statistic Z=0.4934, Critical value Z
0.05
=1.645
Do not reject at the 5% level.
We cannot
conclude that the rate of defects is higher than usual.
(b) Expected cost per cup = 72c
(c) (62.31, 69.09)
We can say with 99% confidence that the mean number of orders received per
weekday lies between 62.31 and 69.09
Problem 3
(a)
1234
ˆ
1.7736 0.6543
0.1533
0.1658
4.9953
Y
XXXX
=
+
−
−
+
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View Full Document The number of bottles of white wine consumed at a wedding reception increases by 0.6543 for
each extra guest, decreases by 0.1533 for each extra bottle of red wine consumed, decreases by
0.1658 for each extra litre of nonalcoholic drink consumed and increases by 4.9953 if transport is
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