A busy call center is planning to provide incentives for employees of night shift in order to increase productivity, as they believe the night shift productivity is low compared to day shift. To evaluate, a sample of 70 day-shift workers reveals an average of 30 customer responses per hour with a sample standard deviation of 8 customer response per hour. A sample of 60 evening shift workers reveals an average of 26 customer response per hour with a sample standard deviation of 6 parts per hour. Using P-value approach, test at 10% level of significant if there is evidence of a low productivity in night shift compared to day shift. Employee 1 2 3 4 5 6 7 8 9 10 Aptitude score 7 6 5 4 5 8 7 8 9 6 Performance rating 82 74 82 68 75 92 86 69 85 76 a. Find the least-squares regression line that could be used to estimate performance rating from aptitude scores and estimate performance rating when aptitude score is 7 out of 10. b. Interpret the meaning of slope in this case. c. Find co-efficient of determination and interpret its meaning. d. Test at 5% level of significance if the aptitude score is significantly reflecting employee performance rating.

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