Hi,
Here are the answers, for reference:
Q1 {k is real : 0 < k < 8}
Q2(ii) x = -1.1116, 1.5995
(iii) 3.615 sq units
Q3(i) (1/3)e^(3x + 2) + c
(ii) 32
Q4 16/27 cu m
Q5(i) (1/2, (1/2) - ln 2)
(ii) A ((16/5) - (3/5)ln 5, 0), B (0, (16/3) - ln 5), p = 16, q = 3
Q6 0.1, 0.4
Q7(i) Every student has the same probability (of 1/2000) of being chosen to be in the sample.
(ii) Stratum 1: Travel by car, sample size = 22
Stratum 2: Travel by bicycle, sample size = 38
Stratum 3: Travel on foot, sample size = 40
(iii) Stratified sampling gives a sample that is representative of the population of students travelling by various means. Have two futher strata Year 1 and Year 2 so that the sample will also reflect the composition by years.
Q8(ii) r = -0.967
(iii) T = -0.0147H + 27.0
(iv) 12.3, Reliable since 1000 is within the range [200, 1550].
Q9 p-value = 0.00578
There is sufficient evidence, at 1% significance level, that this particular batch is substandard.
Least T = 11700
Q10(i)(a) 0.0287
(b) 0.852
(ii) 0.201
(iii) 0.974
Q11(i)(b) 11/16
(c) 2/11
(ii) 163/315
Q12(i) 0.595
(ii) 0.739
(iii) 0.787
(iv) 408
Thanks.
Cheers,
Wen Shih
Hey do u have the worked solns?
Esp for Qn9 the 2nd part (hypo qn)... the answer u gave is 11700 right... I also got a similar answer. But I wanna ask if it's a one-tailed or two-tailed test? cos im really confused
anyone knows whats the bell curve for H1 math to get A? I know i confirm lost 4 marks already cos the 1st qn my discriminant sign was wrong
thanks...
Hi,
My worked solutions will be published by Dyna Publisher Pte Ltd and the book will be released in 2012 :)
It is a one-tailed test with alternative hypothesis being mu < 12000.
The bell curve varies from year to year.
Thanks.
Cheers,
Wen Shih