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A researcher at a large company has collected data on the beginning salary and current salary of 48 randomly selected employees. The least-squares regression equation for predicting their current salary from their beginning salary is y = –2570.8 + 2.12x.
The current salaries had a mean of $32,070 with a standard deviation of $15,300. The beginning salaries had a mean of $16,340 with a standard deviation of $ 6428. What is the correlation between current and beginning salary?
 
The Chapin Social Insight Test evaluates how accurately the subject appraises other people. In the reference population used to develop the test, scores are approximately normally distributed with mean 25 and standard deviation 5. The range of the possible scores is 0 to 41.
What proportion of the population has scores above 32 on the Chapin test?
 
 
What proportion of the population has scores below 24 on the Chapin test?
for a sample of automobile executives.
41 , 74 , 78 , 41 , 64 , 74 , 70 , 68 , 38 , 44 , 71 ,
34 , 48 , 65 , 58 , 32 , 66 , 70 , 56 , 57 ,
40 , 72 , 60 , 55 , 74 , 50 , 71 , 54 , 31 , 73
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