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Statistics Practical Exam, University of Kent, 2005, Exams of Economic statistics

Information about a practical examination for the m.sc. And postgraduate diploma in statistics program at the university of kent, held in may 2005. The examination consisted of four questions, two from section a and two from section b. Candidates were required to attempt one question from each section and were given limited pages for formal answers and supplementary material. The data for the questions were available to candidates on heron and otter. The examiners assigned 40% of the total mark to section a and 60% to section b.

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MA856/05
UNIVERSITY OF KENT
M.Sc. AND POSTGRADUATEDIPLOMA IN STATISTICS, 2005
PRACTICAL PAPER
Monday,16May,2005 - Monday,23May,2005
The paper contains FOUR questions, twoinSection A and twoin
Section B. Candidates are required to attempt ONE question from
each Section.
Formal answers to Section A are limited to three pages, with up to
three pages of supplementary material. Formal answers to Section B
are limited to fivepages, with up to fivepages of supplementary
material. The examiners assign 40% of the total mark to Section A
and 60% to Section B.
USE A SEPARATE ANSWER BOOK FOR EACH QUESTION
Data for the questions are available to candidates within directory
/usr/work/pgstat/pe on Heron and Otter.Candidates may
consult books and lecture notes, and may use anycomputing
facilities, but may not discuss the questions with each other or with
anyother person.
Completed scripts, together with a declaration that the material
submitted is entirely the candidate’sown work, must be handed in to
the IMSAS General Office, Room E.101, Mathematical Institute, by
3p.m. on Monday,23May,2005.
Turn over
pf3
pf4
pf5

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MA856/

UNIVERSITY OF KENT

M.Sc. AND POSTGRADUATE DIPLOMA IN STATISTICS, 2005

PRACTICAL PAPER

Monday, 16 May, 2005 - Monday, 23 May, 2005

The paper contains FOUR questions, two in Section A and two in

Section B. Candidates are required to attempt ONE question from

each Section.

Formal answers to Section A are limited to three pages, with up to

three pages of supplementary material. Formal answers to Section B

are limited to five pages, with up to five pages of supplementary

material. The examiners assign 40% of the total mark to Section A

and 60% to Section B.

USE A SEPARATE ANSWER BOOK FOR EACH QUESTION

Data for the questions are available to candidates within directory

/usr/work/pgstat/pe on Heron and Otter. Candidates may

consult books and lecture notes, and may use any computing

facilities, but may not discuss the questions with each other or with

any other person.

Completed scripts, together with a declaration that the material

submitted is entirely the candidate’s own work, must be handed in to

the IMSAS General Office, Room E.101, Mathematical Institute, by

3 p.m. on Monday, 23 May, 2005.

Turn over

Section A - Answer ONE question

A1. The data given below are from a field trial of commercial fertilisers applied to the Dunlap

variety of strawberries. The table gives the yields (quarts) of strawberry plants from plots

laid out in rows and columns as shown. Fertilisers A, B, C, D and E were applied to the

plots, as indicated. Two observations, indicated by asterisks, were missing. The aim was

to maximise the yield.

Analyse the data, checking any modelling assumptions made, where possible. Report on

your conclusions.

A, 31 D, 58 C, 56 B, 44 E, 40

B, 39 C, 51 E, 48 D, 54 A, 35

C, 51 B, 48 A, * E, 74 D, 53

E, 40 A, * D, 65 C, 52 B, 51

D, 55 E, 53 B, 41 A, 46 C, 47

2 Statistics Examinations, 2005

Section B - Answer ONE question

B3. A forensic decision must be made on the basis of the levels of two hormones, A and B. It

is thought that a high value of the ratio of A to B indicates guilt. Hormone levels have

been measured in 169 innocent individuals. The aim is to identify a value which is

sufficiently high for it to be extremely unlikely (a probability of no more than about 1 in

1000) that a normal individual will be wrongly suspected of guilt. It is not thought that

age and sex influence the ratio, Analyse and report on the data, checking whether or not

age and sex have any effect, and suggesting a suitable cut-off value for the ratio.

B4. On an experimental farm, groups of chicks were reared inside 14 different houses; they

could also roam in a closed area around their own house. The houses are grouped in pairs, all chicks in a pair of houses being hatched on the same day. Houses in pairs 3 and 4 contained 675 chicks; the others contained 1350 chicks. In one house in each pair, the chicks had a mature hen present as a ‘mentor’; those in the other house had no mentor. Chicks outside their house were said to be ‘roaming’. Observations were made of the percentage of chicks from each house who were roaming at different ages between 31 days and 56 days. The chicks in different pairs of houses were hatched on different days, so the results may well be influenced by different weather and temperature conditions. It is known that older chicks are more likely to roam. Examine the data below, and report on whether the presence of the mentor influences the number of chicks roaming, and on whether the extent of any influence changes as the chicks grow.

Pair of age Percent roaming in house with Pair of age Percent roaming in house with

  • 48 m 2.4 10.1 23 f 19.4 30.5 28 f 21.3 48. Age Sex A B Age Sex A B Age Sex A B
  • 47 f 3.7 10.3 29 f 2.5 4.2 26 f 3.6 7.
  • 36 f 3.4 12.6 36 f 1.7 3.2 45 f 1.9 3.
  • 34 m 1.8 11.7 42 m 2.2 6.6 34 m 9.0 26.
  • 30 m 7.7 21.8 44 f 1.6 2.9 42 f 1.9 2.
  • 44 m 4.0 14.9 41 f 4.0 5.9 52 f 1.7 3.
  • 41 m 1.8 4.5 57 m 1.8 5.5 19 f 6.4 21.
  • 43 f 1.9 7.9 47 m 2.3 5.8 20 f 4.8 11.
  • 62 m 1.8 30.4 39 f 2.1 3.2 38 f 24.0 88.
  • 62 f 2.7 4.2 28 f 9.6 14.1 57 f 1.8 2.
  • 37 f 1.8 6.9 47 f 2.2 4.3 63 f 2.5 4.
  • 52 f 3.4 4.5 19 f 2.3 3.6 19 f 14.8 34.
  • 50 f 7.5 10.9 36 f 2.0 2.8 55 m 1.7 4.
  • 53 f 5.0 6.4 20 f 2.4 4.1 21 f 2.6 9.
  • 51 m 1.6 4.6 38 f 1.6 3.9 65 f 6.4 37.
  • 66 m 1.6 2.9 52 m 4.2 9.7 54 f 1.8 3.
  • 34 f 3.1 4.9 25 f 3.6 9.4 56 m 16.1 39.
  • 39 f 10.0 31.6 45 m 2.0 5.6 42 f 2.9 7.
  • 51 f 1.9 2.8 24 f 1.6 4.3 49 f 1.7 4.
  • 61 f 1.8 3.2 36 m 35.4 79.0 48 f 4.0 9.
  • 26 m 1.6 5.1 61 f 4.8 14.0 28 f 17.4 52.
  • 43 f 10.1 32.2 50 m 10.9 12.5 25 f 1.7 6.
  • 41 f 3.2 8.4 47 m 4.0 7.5 39 f 15.8 102.
  • 46 m 22.0 38.8 45 f 1.7 10.7 55 m 1.8 2.
  • 29 f 1.9 4.0 55 f 3.3 14.6 46 f 9.1 17.
  • 22 f 2.3 6.3 58 f 15.0 23.7 40 m 1.7 4.
  • 52 f 1.9 2.8 40 f 1.6 37.8 35 f 14.7 41.
  • 34 f 15.5 49.4 32 f 19.3 39.1 67 m 2.3 10.
  • 38 m 1.6 7.0 56 f 11.7 14.6 45 f 6.8 21.
  • 35 f 1.9 3.9 32 m 4.1 6.5 43 m 1.8 6.
  • 23 f 2.3 10.1 25 f 7.9 22.3 38 m 2.6 3.
  • 38 f 1.7 5.5 22 f 3.5 6.4 53 m 1.9 8.
  • 62 m 14.2 36.0 28 f 2.2 4.7 41 m 8.3 16.
  • 61 m 6.5 22.9 22 f 1.4 7.7 53 f 2.8 8.
  • 39 f 8.3 14.0 36 f 12.7 31.8 56 f 1.6 3.
  • 22 f 6.7 13.1 51 f 5.5 11.9 48 f 1.8 12.
  • 42 m 1.8 5.4 25 f 5.6 11.9 67 f 1.7 6.
  • 42 f 5.3 12.6 50 m 10.8 13.1 63 f 3.2 5.
  • 40 f 4.4 4.9 54 m 4.3 8.3 23 f 21.0 54.
  • 19 f 1.9 4.3 43 f 2.4 6.4 42 f 1.7 4.
  • 33 f 1.7 2.7 29 f 8.0 24.6 21 f 13.0 27.
  • 23 f 4.9 7.8 42 f 7.8 10.8 43 f 6.0 12.
  • 51 m 1.8 5.3 38 f 49.2 85.6 44 f 29.7 77.
  • 39 f 4.0 4.6 37 f 19.7 35.9 51 m 2.7 8.
  • 47 m 6.3 15.4 43 m 1.8 6.8 19 m 10.3 20.
  • 60 m 1.6 3.0 46 f 1.6 5.6 40 m 2.5 6.
  • 42 f 3.3 6.3 36 f 13.6 29.8 45 m 1.9 4.
  • 19 m 3.4 12.0 33 f 25.8 48.2 19 f 3.9 12.
  • 34 m 2.2 5.6 45 f 12.9 14.4 64 m 1.7 3.
  • 48 f 1.9 3.2 37 f 5.2 16.5 47 f 3.3 7.
  • 38 m 3.6 5.5 44 f 17.6 68.3 42 f 2.3 3.
  • 69 f 3.9 13.4 41 f 3.7 7.1 32 m 2.8 4.
  • 35 f 12.4 35.8 57 m 3.0 4.0 28 f 3.3 3.
  • 47 f 4.8 11.8 40 f 2.3 10.9 44 f 18.5 43.
  • 56 f 40.2 99.4 18 f 16.8 47.6 52 f 1.7 6.
  • 26 f 1.8 4.3 28 f 3.9 10.7 33 f 2.8 5.
  • 31 f 5.8 28.
  • 4 Statistics Examinations,
    • 1 38 13.6 5.8 3 32 19.0 8. Houses (days) Mentor No Mentor Houses (days) Mentor No Mentor
    • 1 38 11.1 8.4 3 33 25.2 12.
    • 1 45 17.9 18.4 3 33 25.6 7.
    • 1 45 37.2 19.4 3 33 16.4 4.
    • 1 46 38.0 5.9 3 40 9.8 5.
    • 1 46 18.4 15.7 3 40 7.9 11.
    • 1 49 28.4 13.8 3 41 37.5 38.
    • 1 50 2.7 9.6 3 41 12.3 8.
    • 1 50 9.8 8.0 3 45 5.6 4.
    • 1 56 27.7 6.3 3 45 8.1 3.
    • 1 56 23.2 13.5 3 46 20.0 7.
      • 3 46 11.0 4.
    • 2 38 12.9 13.0 3 51 1.3 4.
    • 2 38 32.4 24.6 3 51 1.5 3.
    • 2 39 5.3 7.7 3 51 0.6 1.
    • 2 39 12.1 13.0 3 52 16.3 3.
    • 2 42 41.8 23.
    • 2 43 25.6 1.6 4 33 11.9 9.
    • 2 43 7.7 2.4 4 33 10.3 17.
    • 2 50 16.6 5.2 4 34 15.9 7.
    • 2 50 32.7 10.1 4 38 1.5 8.
      • 4 38 1.0 12.
    • 5 39 28.0 34.1 4 39 1.9 6.
    • 5 39 31.3 19.0 4 39 2.9 6.
    • 5 39 5.8 15.6 4 44 2.4 11.
    • 5 39 21.5 15.9 4 44 1.6 1.
    • 5 45 16.6 12.3 4 44 2.4 4.
    • 5 46 18.0 35.3 4 45 5.1 8.
    • 5 46 6.4 6.7 4 52 7.9 4.
    • 5 46 14.5 6.3 4 53 5.7 2.
    • 5 53 15.9 13.7 4 53 16.4 8.
    • 5 53 8.4 12.7 4 53 6.4 21.
    • 5 54 19.0 14.
    • 5 54 15.7 3.0 7 31 6.4 1.
      • 7 31 7.7 0.
    • 6 35 22.6 13.5 7 32 10.1 8.
    • 6 36 9.0 19.1 7 32 13.2 5.
    • 6 36 6.4 9.0 7 37 1.9 1.
    • 6 43 21.6 20.2 7 37 0.6 1.
    • 6 43 21.6 14.2 7 37 3.9 1.
    • 6 53 52.2 45.5 7 38 8.1 4.
    • 6 53 40.4 20.1 7 45 8.8 8.
    • 6 53 20.1 16.9 7 46 11.3 9.
    • 6 53 25.4 21.9 7 46 5.5 10.
      • 7 46 5.7 16.
      • 7 52 11.6 30.
      • 7 52 22.3 25.
      • 7 52 8.8 4.
      • 7 52 17.0 18.
  • Practical Examination (MA856/05)