Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
PAN AFRICA CHRISTIAN UNIVERSITY EXAMINATION FOR MASTER OF ARTS IN MARRIAGE AND FAMILY THERAPY MAY-JULY 2015 CAMPUS: ROYSAMBU- EVENING DEPARTMENT: COUNSELING/PSYCHOLOGY COURSE CODE: MFT 601 COURSE TITLE: STATISTICS EXAM DATE: Monday, 27th July 2015 TIME: 5.30pm – 8.30pm INSTRUCTIONS Read all questions carefully before attempting. Answer ALL Questions in SECTIONA and any other one (1) question in Section B Write your student number on the answer booklet provided. SECTION A: Attempt all the questions in this section (Total 40 marks) Question One: i) Which of the following measures of central tendency tends to be most influenced by an extreme score? (1 Mark) a. Median b. Mode c. Mean ii) In a frequency distribution of 250 scores, the mean is reported as 78 and the median as 65.One would expect this distribution to be (1 Mark) a. Positively skewed. b. Negatively skewed. d. Normal. iii) The measure of central tendency which is sensitive to extreme score on the higher or lower end of a distribution is the (1 Mark) a. Median. b. Mean. c. Mode. d. All of the above e. None of the above iv) Which of the following is not a measure of central tendency? a. Mean b. Median (1 Mark) d. Standard deviation e. None of these c. Mode v) In popular usage, the term average may refer to: a. The mean b. The median (1 Mark) c. The mode d. None of these e. All of these vi) The mean is a measure of: (1 Mark) a. Variability. b. Position. c. Skewness. d. Central tendency. e. Symmetry. Question Two The following data represent scores of 50 students in a calculus test. 72 72 93 70 59 78 74 65 73 80 57 67 72 57 83 76 74 56 68 67 74 76 79 72 61 72 73 76 67 49 71 53 67 65 100 83 69 61 72 68 65 51 75 68 66 77 61 64 7 75 a. Compute the sample mean, sample median, sample range sample variance and sample standard deviation. (10 Marks) b. Does the data set represent a sample or a population. If it is a sample, describe the population from which it has been drawn. (10 Marks) Question Three Two children (child A and child B) are placed under discipline by parent using time out. The Mean time of each child’s time out in minutes are as follows: Child A 30 min Child B 25 min Standard deviation (minutes) A6 B4 a. Which worker appears to be more consistent in the time he requires to complete the job? Explain. b. Which worker appears to be faster in completing the job? Explain. (14 Marks) SECTION B: Attempt any one question (20 marks) Question Four: The data given below represent the income and the expenditure of various families in particular area Income (X) : Expenditure (Y): 50 45 75 20 60 26 24 30 5 25 Required a. Draw the scattered diagram and decide on the nature of correlation b. Using product moment compute the correlation coefficient c. Estimate the regression equation and estimate expenditure for a family with an income of 30 (20 marks) Question Five a) Explain the following sampling techniques i. ii. iii. iv. Simple random sampling Stratified sampling Systematic sampling Convenience sampling b) The average score a class with a sample of 40 student was found to be 70 with a standard deviation of 20. Estimate the interval of the population score at 95 confidence interval ©The manager of an organization claim that the mean wage of 200 workers is sh. 500. A sample of 60 workers was taken and mean wage was found to be 600 with a standard deviation of 45. Test the claim of the manager at 5 % level of significant. (20 marks)