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1. (a) Before and after dotplots. (b) Before the firing, there were 6 people above 40 out of the 10 employees, that is 60% of
 

Summary: 1. (a) Before and after dotplots.
(b) Before the firing, there were 6 people above 40 out of the 10 employees, that is 60% of
the employees were over 40. After the firing round there were 3 people above 40 out of
5, that is 60% of the employees. So without exact age information, there is no evidence
of possible age discrimination.
(c) Now the proportion of employees over 50 years old, before and after the firings are 30%
and 0%, respectively. So we now definitely have evidence of possible age discrimination.
2. D
3. (a) (63 + 68)/2 = 65. 5
(b) 1. Number each of the six ants according to the antenna lengths
1 2 3 4 5 6
65 71 72 73 63 68
2. Using a random number generator, obtain 2 numbers between 1 and 6, and associate
those two numbers to the corresponding ants in the previous table. i.e., if the numbers
are 3 and 5, that means we selected ants with antenna lengths 72 and 63.
3. Calculate the average length of the two antennas. i.e., (72 + 63)/2 = 67. 5.
4. Repeat steps 2 and 3 many times (100s)
5. display the distribution of the results.
(c) Probability = 130
1050 12.381%

  

Source: Abrego, Bernardo - Department of Mathematics, California State University, Northridge

 

Collections: Mathematics