Subject:- Statistics.

Please complete the attached assignment.

\fClass Preparation Task 3 This first task reviews mean and standard deviation which was material from week 1. Salaries at SMS There are 48 full time academics at Sydney Management School. Their contracts specify a base salary which sets the minimum they receive, bouthe school may increase this at their discretion. Their mean base salary in 2010 was K$100pa, the standard deviation of their base salary was K$19.7 and so the coefficient of variation (CV) was 19.7%. The school was doing quite well financially and the academics received salary increments as described below. (The data are in worksheet SMS in class_prep3.xlsx though there is no need at all to use this data in order to answer the following questions.) (a)In 2010, they receive a salary increment of k$10 each on base salary. What was the mean and standard deviation of salaries? (b)In 2011, they receive a salary increment of 10% each on base salary. What is the mean and standard deviation of salaries? (c) In 2012, they receive salary increments on base salary which vary across the 48 academics. Those with higher salaries receive a higher % increase than those on lower salaries. The average of the 48 salary increments was 10%. What can you say about the mean and stdev of salaries compared to part (b)?* (d)In 2013 increments are altered to be \"progressive\" in the sense that those on lower salaries receive the higher increments. But the average increment of the 48 academics is still 10%. What can you say about the mean and stdev of salaries compared to part (b)? (e)How is the CV affected in each case - higher, lower, the same or not determined? Mean Stdev CV 2010 110,000 19,672 17.9% 2011 121,000 21,640 17.9% 2012(c) 2012(d) MORE OVER PAGE!!! ** You cannot say exactly what the mean and standard deviation will be from the information provided but you can say whether it will be higher or lower than case (b) and why. 1 This is the key part of the class preparation and the one that I will concentrate on in deciding if you have prepared for class. SBS Performance appraisal Read the SBS performance appraisal case. This case involves looking at two different performance measures and assigning them equal weight in the overall performance evaluation. (a) Fill out sample means and standard deviation in the table below. (b) List the maximum score and who achieved these maximums. Research Teaching Mean Stdev Max Who? Z (c) For the person who achieved the highest research rating, what is their research z-score? For the person who achieved the highest teaching rating, what is their teaching z-score? (d) Based on the numbers in (c) and (d), was the best researcher more outstanding in research than the best teacher was in teaching, or visa versa? (e) Produce the data distribution chart for research and paste it below. (f) Produce a scatter plot of research versus teaching. Besides the best researcher and the best teacher in the table above. Who else stands out? Think about this for class. There is no need to submit an answer. \"Don Bradman (the Australian cricketer) is the greatest sportsman who ever lived\". Or so it is commonly claimed (by Australian cricket fans!) What about Pele? Or Michael Jordan. Or Martina Navratilova? Or, of course, the self proclaimed greatest....Mohammed Ali? If one interprets the word greatest as most abnormally good, could data be used to evaluate the proposition? 2