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Tour 704: Statistics In Tourism Question Paper
Tour 704: Statistics In Tourism
Course:Masters In Tourism Management
Institution: Chuka University question papers
Exam Year:2013
CHUKA
UNIVERSITY
UNIVERSITY EXAMINATIONS
EXAMINATION FOR THE AWARD OF DEGREE OF MASTERS DEGREE IN TOURISM MANAGEMENT
TOUR 704: STATISTICS IN TOURISM
STREAMS: TOURISM TIME:3 HOURS
DAY/DATE: WEDNESDAY 17/4/2013 2.30 PM – 5.30PM
INSTRUCTIONS:
Answer ALL Questions
All Working must be clearly show
Do not write on the Question paper.
QUESTION 1 (20 MARKS)
(a) Distinguish the following terms as used in statistics.
(i) Categorical variables and continuous variables. [2 Marks]
(ii) Parametric and non-parametric statistics. [2 Marks]
(iii) Probability distribution and sampling distribution. [2 Marks]
(b) The heights of some Monkeys in a particular park follow a normal distribution with Mean of 150.3 cm and variance 25 cm. Find the probability that a monkey picked at random has height.
(i) Less than 154 cm [2 Marks]
(ii) More than 158 cm [2 Marks]
(iii) Between 149 and 153 cm [2 Marks]
(c) The table below shows the ages of 350 of 350 tourists who visited hell’s gate site.
Age (yrs) 16 - 20 21 - 25 26 - 30 31 - 35 36 - 40 41 - 45 46 - 50 51 - 55 56 - 60
No of tourists 36 56 58 52 46 38 36 18 10
Using assumed mean method calculate
(i) The mean age of tourists [2 Marks]
(ii) The mode age of tourists [2 Marks]
(iii) The standard deviation [2 Marks]
(iv) The median age of tourists [2 Marks]
(d) The data below shows some type of animals which were subjected to two vaccines
X and Y. The values are responses rates in percentage.
Type 1 animal A B C D E F G H I J
Vaccine X 92 89 87 86 83 77 71 63 53 50
Vaccine Y 86 83 91 77 68 85 52 82 37 57
Calculate and comment on rank correlation coefficient. [4 Marks]
QUESTION 2
(a) In one African country it is known that 70% of tourists who visit the country contact malaria. Twelve tourists visited that country in one week in the year. Find the probability that:
(i) Fewer than 3 contacted malaria [3 Marks]
(ii) At least 3 contacted malaria [3 Marks]
(iii) Calculate the mean and the variance of the tourists contacting malaria
[3 Marks]
(b) A tourists taxi company (TTC) have three taxis which drop off tourists at 3 zones. Zone 1, zone 2 and zone 3. It has been found that, tourists picked from zone 1, 60% are dropped in the same zone, 30% in zone 2 and 10% in zone 3. Of those picked in zone 2, 40% are dropped in zone1, 30% in zone 2 and 30% in zone 3. Of those picked in zone 3, 30% are dropped in zone 1, 30% in zone 2 and 40% in zone 3. Suppose that at the beginning of the day 80% of the taxis are in zone 1, 15% in zone 2 and 5% in zone 3.
(i) Find the transition matrix for the marker chain that describes the successive location of the taxis. [6 Marks]
(ii) What is the distribution of the taxis after they have made 2 pickups and drops. [5 Marks]
QUESTION 3
(a) Cars arrive at a petrol station at an average rate of 13 per hour. Assuming that the cars arrive at random, find the probability that
(i) No cars arrived during a particular 5 minute interval [3 Marks]
(ii) More than 3 cars arrived during half an hour interval. [3 Marks]
(iii) In one hour 6 cars arrived. [2 Marks]
(b) A dietitian wanted to test 3 diets to find out if the mean weight loss for each of these diets is the same. The table below records the weight loss (in pounds) by these persons after being on these diets for 2 months.
Diet I Diet II Diet III
15 11 9
8 16 17
17 9 11
7 16 8
26 24 15
12 20 6
8 19 14
Will you reject the null Hypothesis at a 2.5% significance level? [12 Marks]
QUESTION 5
(a) Dr. Otieno wanted to estimate the mean cholesterol level for all adult men living in Chuka. He took a sample of 25 adult men and found that the mean cholesterol level for this sample is 186 with a standard deviation of 12. Assume that the cholesterol level for all adult men are approximately normally distributed. Construct a 95% confidence interval for the population mean. [5 Marks]
(b) Recent recession and bad economic conditions forced many people to hold more than one job to make ends meet. A sample of 500 persons who held more than one job produced the following table.
Single Married Other
Male 72 209 39
Female 33 102 45
Test at 10% significant level whether gender and married status are related for all people who hold more than one job. [15 Marks]
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