GCE Mathematics S3 0985-01

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WJEC 2014 Online Exam Review GCE Mathematics S3 985-01 All Candidates' performance across questions

Question Title 1 2 3 4 5 6

N 174 174 173 174 174 171

Mean 5.5 10.5 10.7 8.6 13.8 6.9

SD 1.2 2.6 3.1 2.6 4.1 4.7

Max Mark 6 13 13 11 18 14

FF 91.2 80.9 82.7 78.3 76.6 49.3

Attempt % 100 100 99.4 100 100 98.3

GCE Mathematics S3 985-01 6

49.3

Question

5

76.6

4

78.3

3

82.7

2

80.9

1

91.2 0

10

20

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50

60

Facility Factor %

70

80

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100

2 4 5b ii and iii 6

2 2.

The mean weight of a certain breed of bird is believed to be 4·5 kg. In order to test this belief, a random sample of 10 birds of the breed was obtained and weighed, with the following results in kg. 4·38

4·18

4·46

4·59

4·16

4·57

4·16

4·26

4·49

4·35

You may assume that the weights of this breed of bird are normally distributed. (a) State suitable hypotheses for testing the above belief using a two-sided test.

[1]

(b) Calculate unbiased estimates of the mean and the variance of the weights of this breed of bird. [5] (c) Carry out an appropriate test using a 1% significance level and state your conclusion in context, justifying your answer. [7]

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