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MA4104 Spring 2014 Dr. Helen Partil Q1. (*) The following histogram and descriptive statistics are produced for the number of hours worked per week by a sample of 614 employees from a particular industry. 100- 50- -9 10 Number of hours worked per week ( Number of hours worked per week Mean 33.51 Median 37.51 Standard Deviation 10.08 Interquartile range 7.27 (1) Classify the number of hours worked per week by data type and scale of measurement () How would you describe the shape of the distribution? (in) What are the appropriate measures of centrality and dispersion for these data? Justify your answer (7 marks) Monthly office rents in a particular city are found to be normally distributed with a mean of 350 and standard deviation of 45. (6) What percentage of monthly rents are greater than 380 (in) What percentage of monthly rents are between E320 and 390? (1) 15% of rents are Crents are higher than what value? (iv) Use a control chart to identify which of the following rents are unusually high or low: 230, 200, 480, 370 (12 marks) (b) (Question I is continued on everlap) MA4104 Spring 2014 Dr. Helen Partil Q1. (*) The following histogram and descriptive statistics are produced for the number of hours worked per week by a sample of 614 employees from a particular industry. 100- 50- -9 10 Number of hours worked per week ( Number of hours worked per week Mean 33.51 Median 37.51 Standard Deviation 10.08 Interquartile range 7.27 (1) Classify the number of hours worked per week by data type and scale of measurement () How would you describe the shape of the distribution? (in) What are the appropriate measures of centrality and dispersion for these data? Justify your answer (7 marks) Monthly office rents in a particular city are found to be normally distributed with a mean of 350 and standard deviation of 45. (6) What percentage of monthly rents are greater than 380 (in) What percentage of monthly rents are between E320 and 390? (1) 15% of rents are Crents are higher than what value? (iv) Use a control chart to identify which of the following rents are unusually high or low: 230, 200, 480, 370 (12 marks) (b) (Question I is continued on everlap)