Student ages in regular mba daytime mba program and the evenings described below

Roll NA CD 4 2 28 7 5) ALLAMA IQBAL OPEN UNIVERSITY Autumn 2921 Semester Associate Degree /S Maximum Marks 150 Level Business Statistics (1430) Pass Marks Paper Time Allows 03 Hours Note: ATTEMPT FIVE QUESTIONS, ALL CARRY EQUAL MARKS. (20) Q. I (a) Explain symmetric and skewed data. How can we detect whether the given data is symmetric and skewed. (b) Student ages in the regular daytime M.B.A. program and the evening program are described below: Regular M.B.A 23 29 27 22 24 21 25 26 27 24 31 26 Evening M.B.A 27 34 30 39 28 30 34 35 28 29 34 37 Use a measure of relative variability to suggest which of the two groups will be easier to teach if homogeneity of the class is a positive factor in learning. (10+10) Q. 2 (a) Explain Chebyshev's Theorem in connection with mean and standard deviation. (b) There are a number of possible measures of sales performance including consistency of a sales person. The following data represent the percentage of goal met by each of three salespersons over the last five years: Person A: 88 68 89 92 103 Person B: 76 88 90 86 79 Person C: 104 88 118 88 123 Which salesperson is the most consistent? (10+10) Q.3 (a) How we chose a significance level in hypotheses testing? Explain the concept of p-value. (b) Two research laboratories have independently produced drugs that provide relief to arthritis sufferers. The first drug was tested on a group of 90 arthritis sufferers and produced an average of 8.5 hours of relief. and a sample standard deviation of 1.8 hours. The second drug was tested on 80 arthritis sufferers, producing an average of 7.9 hours of relief, and a sample standard deviation of 2.1 hours. At the 0.05 level of significance, does the second drug produce a significantly shorter period of relief? (10+10) Q. 4 Long Distance Carrier is trying to see the effect of offering "I month free" with a monthly fixed fee of $10.95, versus an offer of low monthly fee -$8.75- with no free month. To test which might be more attractive to consumers, Long Distance runs a brief market test: 12 phone responses make calls using one approach, and 10 use the other. The following number of customers agreed to switch from their present carrier to LDC: Offer Number of switches I month fee 118 115 122 99 106 125 102 100 92 103 113 129 Low monthly fee 115 126 13 110 135 102 124 137 108 128 (a) of significance. Test whether there are significant productivity differences with the two offers at 10% level (b) of significance. Test whether there are significant productivity differences with the two offers at $% level