Hi,can you help me answer the questions.Give correct and accurate answers for the whole questions.be very clear.give clear and neat writing.
STA October 2016
QUESTION 1 a) Define each of the following terms; i) Random Sampling ii) Pilot Study (2 marks) b) For each of the following variables, classify whether it is qualitative, quantitative discrete or quantitative continuous variable. i) The number of houses owned by individuals in Perak. ii) The number of rooms available in a hotel. ili) The height of students. iv) The brand names of hand phones used by a group of lecturers. (4 marks) c) An advertising firm is interested in determining how much television advertising to emphasize in a certain state. A sample survey is conducted to estimate the average number of hours each week households watch television. The state has three major towns (Town A, Town B and Town C). There are 300 households in Town A, 430 in Town B and 270 in Town C. A random sample of 200 households will be selected for this study. All the houses have telephone facilities. 1) State the population and sampling frame for the above study. i) Determine the variable of interest and the level of measurement for the above study. iii) The sample will be selected using stratified sampling technique. What is ONE advantage of using this technique? How many households should be selected from each town? iv) Determine the most suitable method of data collection. (9 marks)QUESTION 1 a) The table below shows the distribution for the member of children registered for a particular factory's Family Day by a total of 150 parents. No. of children 0 1 2 3 4 5 No. of parents 30 25 45 25 15 10 i) Determine the mean, mode and median of the above distribution. (5 marks) ii) Interpret the median obtained in (1). (1 mark) iii) Using the measures of central tendency in (), determine the shape of the distribution. (1 mark) b) The table below shows the amount of money spent by 100 shoppers at Semerah Shopping Complex in May 2015. Amount spent (RM) Number of shoppers 130 but less than 150 26 150 but less than 170 20 170 but less than 190 17 190 but less than 210 11 210 but less than 230 16 230 but less than 250 10 i) Calculate the mean and standard deviation for the amount of money spent by the shoppers. (5 marks) ii) Draw a histogram for the above data. Hence, estimate the amount of money spent by most of the shoppers and interpret the value. (5 marks) iil) Given the mean and variance of the amount spent by 100 shoppers for June 2015 were RM 230 and RM 1200 respectively. Using an appropriate measure, determine which month shows a less disperse of the amount of money spent. (3 marks)QUESTION 2 a) A research was conducted to study the amount of money spent on textbooks by students in UITM Pahang. Five faculties were randomly selected from a total of eight faculties and every student from the selected faculties was studied. i) State the population and sampling frame for the above study. (2 marks) ii) State the variable of interest and the type of variable for the above study. (2 marks) iii) Name the appropriate sampling method used in this study. Give ONE advantage and ONE disadvantage of the method. (4 marks) iv) Determine the most suitable method of data collection. State ONE advantage of the method. (2 marks) b) Briefly define each of the following terms: i) Pilot study ii) Continuous variable iii) Sampling frame iv) Census (4 marks) c) The following data represents the daily sales of Nana Cafe for the last 27 days. 136 147 138 144 153 167 162 179 174 147 121 148 151 135 154 167 177 163 171 122 123 163 174 162 172 153 177 i) Construct stem and leaf chart for the above data. (2 marks) ii) From the above chart, describe the shape of the distribution. (1 mark)
