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Sth 313: Statistics And Data Analysis Question Paper

Sth 313: Statistics And Data Analysis

Course:Bachelor Of Tourism Management

Institution: Rongo University question papers

Exam Year:2017

Course Title: Statistics and Data Analysis
Course Code : STH 313

Instructions
Answer question ONE and any OTHER TWO questions

QUESTION ONE (30 Marks)
a) Explain FOUR importance of statistics ( 8marks)
b) The average salary of male employees in firm was Rs. 520 and that of females was Rs. 420. The mean salary of all employees was Rs. 500. Find the percentage of male and female employees. (4marks)
c) Find the median wage of the following distribution. (4 marks)
Wages(in Rs.) 20-30 30-40 40-50 50-60 60-70
No. of labourers 2 6 5 4 7
d) A cyclist pedals from his house to work at a speed of 10 m.p.h and back from work to his house at 15 m.p.. Find the average speed. (3marks)
e) The length of metal strips produced by machine are normally distributed with mean length of 150 and standard deviation of 10 cm. Find the probability that the length of a randomly selected string is
i Shorter than 165 cm. (4marks)
ii Within 5 cm of mean (4marks)
f) Define the following terms as used in sampling
i Sample survey (1mark)
ii Sample frame (1mark)
iii Census (1mark)

QUESTION TWO (20 MARKS)
Four salesmen were posted in different areas by a company. The number of units sold by them is given below.
A 20 23 28 29
B 25 32 30 21
C 23 28 35 18
D 15 21 19 25
On the basis of this information, can it be concluded that there is a significant difference in performance of the salesmen?

QUESTION THREE 2O MARKS)
a) You are given the following data to amplitude scores and productivity index
Amplitude score X 9 18 18 20 20 23
Productivity index Y 33 23 33 42 29 32
Find the coefficient of correlation between amplitude scores and productivity index (12 marks)

b) The time taken by Milkman to deliver to the high street is normally distributed with the mean of 12 minutes and a standard deviation of 2 minutes. He delivers milk everyday. Estimate the number of days durind the year when he takes.
i Longer than 17 minutes (4 marks)
ii Less than 10 minutes (4 marks)

QUESTION FOUR ( 30 MARKS)
a) The regression equation Y on X for the following data
X: 2 4 6 8
Y: 5 15 20 25 (13 Marks)

b) Explain the difference between correlation and Regression Analysis. (7 Marks)

QUESTION FIVE (30 MARKS)
a) An analysis of monthly wages paid to the workers of two firms A and B belonging to the same industry gives the following results.
Firm A Firm B
Number of Workers 500 600
Average monthly wage Rs. 186.00 Rs.175.00
Variance of distribution of wages 81 100
i Which firm A or B has a larger wage bill? (5 marks)
ii In which firm A or B is there greater variability in individual wages? (5 marks)
iii Calculate
- The average monthly wage
- The variance of distribution of wages of all the workers in the firms A and B taken together.
(5 marks)
b) Outline TWO merits and THREE demerits of mode. (5 marks).

Sth 313: Statistics And Data Analysis Question Paper

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