Question 1
You are carrying out research on the behaviour of tourists within a host country. In order to
assist your research you need to prepare a questionnaire. Kindly provide a sample of your
questionnaire where you have questions which are in the following format:
(a) A question asking for a binary variable.
(b) A question asking for a nominal variable.
(c) A question asking for a continuous variable.
(d) A question asking for an ordinal variable.
(e) A question using a Likert scale.
In addition, suggest a suitable null and alternative hypothesis to compliment the study.
Question 2
During the museum sessions of December, the following information concerning the choice of main
programs were noted on a daily basis. In fact, the following number of visitors opted for a heritage
experience:
76; 44; 65; 30; 74; 62; 52;
34; 55; 77; 89; 4S; 88; 64;
64; 88; 87; 88; 77; 63; 53;
29; 33; 88; 76; 77; 90; 34;
77; 45; 53;
You are required to:
(a) Construct a frequency distribution and a relative frequency distribution for the data. (b) Construct a cumulative frequency. (c) Construct a histogram for the data provided. (d) Find out the mode and the median. (e) Calculate the mean of the distribution and compare it the mode and median. (f) Address the shape of the histogram and relate the appearance to the outcome of your calculation on the measure of central tendency. Also comment on the dispersion of data.
Question 3 You have been presented with an extract from the NSO Report for October 2021, namely Table 6: Profile of inbound tourists by period of departure, (Attached to the exam paper). (a) Plot a stacked bar chart to represent the age of the tourists arriving over the years 2019-z1; (b) Analyse the organisation of stay, by combining a bar chart and a line graph to distinguish between the two sets of data. Question 4 A mystery shopper was analysing the outcome of one's team. The data collected consisted of the score each outlet was given by mystery shopper and the average price the service claims. Outlet No: Score Average price I /f Ill IV V VI VII VIII IX X 5 6 9 7 5 5 4 8 7 4 12 13 20 22 12 14 12 18 17 10 You are required to:
(a) Plot the data on a scatter diagram.
(b) Calculate the coefficient of correlation and indicate whether you think that it suggests significant relationship between the score and the price.
(c) Any additional comments that you deem fit.
Question 5 A Gym institutor calls on customers to follow a four-tier course in slim management. The customer's performance is quite significant and from a review carried out it appears that customer in the first tier has a positive outcome of 80%; whilst those attempting tier 2 have a successful performance of 75%; whilst the third tier the likely score is 60P«. As regard the final tier the score is 55s6. Customers who fail in one tier are allowed to carry out a resit, to complete the programme. You are requested to construct a probability tree and use it to work out:
(a) The probability that all tiers would be successful.
(b) The probability that customers would require a resit session.
(c) The probability that customers would be ruled out since they have failed two tiers.
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