penang cghs 2014 (a)
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Answer key
1 (a) Weight gain (b) , , n = 150
(i) Mean = 3.2867 kg (ii) Standard deviation = 2.3291 kg
(c) 2.8 or 2.9 (d) 0.627 or 0.498
2 (a) 0.18 (b) 0.5 (c) 0.2
3 (a) 0.0424 (b) 0.9740
4 (a) (i) refer graph (ii)negative correlation, points scatter about a line with negative gradient
(b) 0.1524 The two scores have a weak positive correlation.
5 (a) 52.94; 51.63 (b) The Laspeyres price index uses base year quantities as the weights but the Paasche price index uses current year
quantities as the weights.
6 Q Y centred m.a., T Y - T seasonal index Y - S
1 2.8
-0.8962
3.696
2 4.2
0.4688
3.731
3 3.0 3.68
-0.68 -0.5412
3.541
4 4.6 3.70
0.90 0.9688
3.631
5 3.0 3.76
-0.76 -0.8962
3.896
6 4.2 3.88
0.32 0.4688
3.731
7 3.5 3.93
-0.43 -0.5412
4.041
8 5.0 3.99
1.01 0.9688
4.031
9 3.0 4.06
-1.06 -0.8962
3.896
10 4.7 4.11
0.59 0.4688
4.231
11 3.6
-0.5412
4.141
12 5.3
0.9688
4.331
Q1 Q2 Q3 Q4
2011
-0.68 0.9
2012 -0.76 0.32 -0.43 1.01
2013 -1.06 0.59
-0.91 0.455 -0.555 0.955
-0.0138 -0.0138 -0.0138 -0.0138
-0.8962 0.4688 -0.5412 0.9688
7 (a) Refer graph (b) Points lie about a straight line (c) A = 29.02, b = 3.90 (d) Evaporation loss increases 3.90 ml for each additional week (e) (i) 103.12 ml, still acceptable because evaporation loss after 19 weeks is very closed to the data collected
(ii) 165.52 ml, unreliable because evaporation loss after 35 weeks is way outside the range of the data collected.
8 (a) Area is more than 1 for function g. Probability density function cannot be negative.
(b) (i)
(ii) (iii) median = 12
P(12 < x < 12.16) = 0.0337