Knec social work statistics June/July 2014 past paper

Exam year;June/July 2014

Free knec college past papers

DIPLOMA IN SOCIAL WORK AND COMMUNITY DEVELOPMENT

MODULE II

STATISTICS

3 HOURS

INSTRUCTIONS TO CANDIDATES

Write your name and index no in the space provided above.

Sign and write the date of the examination in the space provided above

This paper consists of eight questions in section A and B.

Answer any five questions from section A

Any TWO question from section B;

Any Other ONE question from either section A or section B

All question carry equal marks

Candidates should answer the question in English

This paper consists of 12 printed pages.

Candidates should check the question paper to ascertain that all pages are printed as indicated and that no question are missing

SECTION A

Answer at least two questions from this section.

1. (a) State and explain four ways of classifying data

(8 marks)

(b) In a certain faculty there were 250 students.72 students registered for communication skills,64 for entrepreneurship education,62 for economics,18 for both communication skills and entrepreneurship education,24 for communication skills and economics,20 for economics and entrepreneurship education and 8 for all the three subjects;

(i) draw a venn diagram to represent this information;

(8marks)

(ii) determine the number of students who registered for at least one subject

(2marks)

(iii) determine the number of students who did not register for at least one subject

(2marks)

2. (a) (i) Explain the meaning of ‘bias’ as applied in sampling.

(2marks)

(ii) State and explain four types of bias

(8marks)

(b) A random sample of 1000 households showed 13% to be living below a defined poverty line. Calculate a 95% confidence interval for the percentage living below the defined poverty line in the population.

(10marks)

3. (a) Explain the following measures of dispersion:

i. Range;

ii. Quartile deviation;

iii. Mean deviation;

iv. Standard deviation.

(8marks)

(b) The following table shows masses of parcels delivered by an organisation.

Mass (gm) | Frequency |

120 – 124 | 10 |

125 – 129 | 15 |

130 – 134 | 12 |

135 – 139 | 23 |

140 – 144 | 16 |

145 – 149 | 20 |

150 – 154 | 4 |

Determine the;

i. Interquartile range;

(8marks)

ii. 4^{th} decile. (4marks)

4. A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that an employee is absent per year and distance in kilometres between home and work place for the employees. A sample of 10 employees were chosen and the following data was collected;

1

8

Distance to work (km) | 3 | 4 | 6 | 8 | 10 | 12 | 14 | 14 | 18 |

Number of days absent | 5 | 8 | 7 | 6 | 3 | 5 | 2 | 4 | 2 |

i. Compute the least squares regression line of number of days absent on distance to work

(11marks)

ii. Determine the number of days absent if the distance to work is 7 kilometres;

(3marks)

iii. Calculate the product moment correlation coefficient.

(6marks)

SECTION B

Answer at least two question from this section.

5. (a) Explain the meaning of the following terms as applied in network analysis

i. Network planning;

ii. An activity;

iii. An event;

iv. Sub critical;

v. Critical path.

(10marks)

(b) A community project has the following data:

Activity | Intermediate Predecessors | Duration (weeks) |

A | – | 5 |

B | – | 4 |

C | B | 6 |

D | A,C | 2 |

E | A,C | 7 |

F | A,C | 12 |

G | B | 6 |

H | F,G | 4 |

I | E,D | 5 |

J | H,I | 3 |

i) Draw a network diagram to represent the various activities of the project;

(8marks)

ii) Dertamine the critical path and the normal project duration.

(2marks)

6. (a) describe the following terms as applied in statistics:

(i) Statistical inference;

(ii) Statistical estimation;

(iii) Testing of hypothesis

(6marks)

(b) The following are marks obtained by students in a statistics examination

24 13 28 15 25 29 15 46

9 10 17 22 23 17 16 32

11 12 18 20 13 27 18 22

20 14 26 14 19 19 40 31

17 21 23 26 18 24 21 27

i. Make a frequency distribution table starting with a class interval of 5-9,…….

(9marks)

ii. Using the frequency distribution table in (i) above determine the mean and median mark.

(5marks)

7. Loki Limited can invest in one of the following two projects A and B which require an initial cash outlay of Kshs.1,000,000 and will pay an interest rate of 10% on the amount. The project will generate the following cash inflows:

Year | Project A | Project B |

1 | 500,000 | 600,000 |

2 | 40,000 | 100,000 |

3 | 100,000 | 40,000 |

4 | 600,000 | 500,000 |

5 | 160,000 | 100,000 |

Calculate ;

I. Payback period (P.B.P)

(4marks)

II. Net present value (N.P.V)

(6marks)

III. Internal rate of return (I.R.R)

(10marks)

8. (a) Describe the following methods of forecasting;

(i) Market research

(ii) Business barometers

(iii) Delphi method;

(iv) Lead lag analysis

(8marks)

(b) The mean number of strikes in a particular industry was found to be 1.2 per week.

Determine the probability that during a given week there will be:

(i) No striker

(3marks)

(ii) More than 2 strikes (5marks)

(iii) Exactly 4 strikers.

(4marks)