GCE Mathematics S2 0984-01
WJEC 2014 Online Exam Review GCE Mathematics S2 0984-01 All Candidates' performance across questions
Question Title 1 2 3 4 5 6 7
N 907 908 904 905 906 894 897
Mean 5.5 10 8.2 10.3 5.7 8.8 5.7
SD 1.2 4.4 2.4 4.4 2.9 3.7 4.2
Max Mark 6 14 10 14 8 13 10
FF 92.5 71.3 82 73.5 71 67.9 57
Attempt % 99.7 99.8 99.3 99.5 99.6 98.2 98.6
GCE Mathematics S2 0984-01 7
57
Question
6
67.9
5
71
4
73.5
3
82
2
71.3
1
92.5 0
10
20
30
40
50
60
Facility Factor %
70
80
90
100
2a and b 3b 4 7b and c
2
2.
The weights of the oranges sold on a market stall are normally distributed with mean 248 grams and standard deviation 8 grams. The weights of the lemons sold on the market stall are normally distributed with mean 85 grams and standard deviation 1·5 grams. (a) Find the upper quartile of the weights of the lemons.
[2]
(b) Ann buys 8 oranges. Calculate the probability that the total weight of her oranges is less than 2000 grams. [5]
© WJEC CBAC Ltd.
(0984-01)
fot of-
5-IS
= ^) 15
L - 1
L =
v = P ( W < 1-000') - P < = f
- v- 9 ->. - 0-4-013
A
2
3.
A new species of animal has been found on an uninhabited island. A zoologist wishes to investigate whether or not there is a difference in the mean weights of males and females of the species. She traps some of the animals and weighs them with the following results. Males (kg) Females (kg)
5·3, 4·6, 5·2, 4·5, 4·3, 5·5, 5·0, 4·8 4·9, 5·0, 4·1, 4·6, 4·3, 5·3, 4·2, 4·5, 4·8, 4·9
You may assume that these are random samples from normal populations with a common standard deviation of 0·5 kg.
[1]
(b) Determine the p-value of these results and state your conclusion in context.
[9]
© WJEC CBAC Ltd.
(0984-01)
3.
Question number
Leave Blank Gadewch yn wag
3.
^^ Vutvxa, (Me.
2 4.
Gwilym buys a new computer game. He claims that he wins, on average, 60% of games played. His friend Huw believes that Gwilym wins less than 60% of games played. (a) To investigate these conflicting claims, Gwilym plays the game 20 times and wins 7 of them. (i) State suitable hypotheses for testing these claims. (ii) Determine the p-value of the above result and state your conclusion in context. [7]
(b) During the following week, Gwilym plays the game 80 times and wins 37 of them. Use a suitable approximation to determine the p-value and state your conclusion in context. [7]
© WJEC CBAC Ltd.
(0984-01)
Question number
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7.
The sides of a square are of length L cm and its area is A cm2. Given that A is uniformly distributed on the interval [15, 20], find [3]
[4] [3]
END OF PAPER
© WJEC CBAC Ltd.
(0984-01)
7.
number Rhify Cwestiwn
Blar Gad yn v\
7
10]
7.
17- J
1
/*
*
- O. 01 .
Question Title 1 2 3 4 5 6 7
N 907 908 904 905 906 894 897
Mean 5.5 10 8.2 10.3 5.7 8.8 5.7
SD 1.2 4.4 2.4 4.4 2.9 3.7 4.2
Max Mark 6 14 10 14 8 13 10
FF 92.5 71.3 82 73.5 71 67.9 57
Attempt % 99.7 99.8 99.3 99.5 99.6 98.2 98.6
GCE Mathematics S2 0984-01 7
57
Question
6
67.9
5
71
4
73.5
3
82
2
71.3
1
92.5 0
10
20
30
40
50
60
Facility Factor %
70
80
90
100
2a and b 3b 4 7b and c
2
2.
The weights of the oranges sold on a market stall are normally distributed with mean 248 grams and standard deviation 8 grams. The weights of the lemons sold on the market stall are normally distributed with mean 85 grams and standard deviation 1·5 grams. (a) Find the upper quartile of the weights of the lemons.
[2]
(b) Ann buys 8 oranges. Calculate the probability that the total weight of her oranges is less than 2000 grams. [5]
© WJEC CBAC Ltd.
(0984-01)
fot of-
5-IS
= ^) 15
L - 1
L =
v = P ( W < 1-000') - P < = f
- v- 9 ->. - 0-4-013
A
2
3.
A new species of animal has been found on an uninhabited island. A zoologist wishes to investigate whether or not there is a difference in the mean weights of males and females of the species. She traps some of the animals and weighs them with the following results. Males (kg) Females (kg)
5·3, 4·6, 5·2, 4·5, 4·3, 5·5, 5·0, 4·8 4·9, 5·0, 4·1, 4·6, 4·3, 5·3, 4·2, 4·5, 4·8, 4·9
You may assume that these are random samples from normal populations with a common standard deviation of 0·5 kg.
[1]
(b) Determine the p-value of these results and state your conclusion in context.
[9]
© WJEC CBAC Ltd.
(0984-01)
3.
Question number
Leave Blank Gadewch yn wag
3.
^^ Vutvxa, (Me.
2 4.
Gwilym buys a new computer game. He claims that he wins, on average, 60% of games played. His friend Huw believes that Gwilym wins less than 60% of games played. (a) To investigate these conflicting claims, Gwilym plays the game 20 times and wins 7 of them. (i) State suitable hypotheses for testing these claims. (ii) Determine the p-value of the above result and state your conclusion in context. [7]
(b) During the following week, Gwilym plays the game 80 times and wins 37 of them. Use a suitable approximation to determine the p-value and state your conclusion in context. [7]
© WJEC CBAC Ltd.
(0984-01)
Question number
4 &. fl \\\
<McjUlo
VU^-^ IA
[A- w
£3-
rv k> j
A
^
; J (I 7,1-^0
|i LQ-bl V -
L*
I
i^£fM ^ntv j jo • t\\j«\iJ^
iU
^ (U^*AA
X
3
7.
The sides of a square are of length L cm and its area is A cm2. Given that A is uniformly distributed on the interval [15, 20], find [3]
[4] [3]
END OF PAPER
© WJEC CBAC Ltd.
(0984-01)
7.
number Rhify Cwestiwn
Blar Gad yn v\
7
10]
7.
17- J
1
/*
*
- O. 01 .
