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Course: STA416 - Applied Probability and Statistics

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QUESTION 1 a) Determine the level of measurement for each of the followi ng variables. i) Calculus test mark. (1 mark) ii) Type of cuisines served at a hotel buffet. (1 mark) b)The computer giant IBM has 329,373 employees and 63,133 stockholders. The vice president plans to conduct a survey to study the number of shares held by individual stockholders. i) If the survey is conducted by telephoning 30 randomly selected stakeholders in each of the 13 states in Malaysia, what type of sampling technique is being used? (1 mark) ii) If a sample of 390 stockholders is obtained and the average number of shares is calculated, is the result a statistic or a parameter? Give your reason. (2 marks) c} The data below shows the running distance made by several people at a popular recreational park in Shah Alam on a particular day. Distance (in kilometers) Number of people 2 5 2 6 9 4 1D 13 i' 14 17 15 18 21 5 i) Calculate the mean and standard deviation of the running distance made by people at the recreational park. (5 marks) ii) From the ogive below, estimate the median running distance made by people at the recreational park. Interpret your answer. Ogive for runnning distance made by people at a recreational park in Shah Alam 35 30 25 20 Cumulative frequency 10 5 0 1.5 5.5 9.5 13.5 17.5 21.5 Distance (3 marks) iii) Calculate the Pearson's coefficient of skewness and based on the result, determine the shape of the distribution. (2 marks)