Stat 243-007 Fall 2017 In each part of problems 1 and 2, (i) write the probability in terms of X or X [for example, P(X≥100) or P(X <17)], (ii) draw the picture, and (iii) find the answer. 1. The performance ratings for a population of employees at a large factory are normally distributed with mean 53 and standard deviation 10. If one person is selected at random, what is the probability that his/her score is a) over 63? (i) (iii) b) between 35 and 63? (i) Name: Quiz 7 (ii) (iii)

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Quiz 7:
1) μ=53, σ=10
a) ?(? > 63) ≈.1587
b) ?(35 < ? < 63) ≈.8054
2) ?(?̅ > 55) ≈.2119
3) 63.36

 
 
Stat 243-007
Fall 2017
In each part of problems 1 and 2, (i) write the probability in terms of X or X [for example, P(X ≥100) or
P(X <17)], (ii) draw the picture, and (iii) find the answer.
1. The performance ratings for a population of employees at a large factory are normally distributed with
mean 53 and standard deviation 10. If one person is selected at random, what is the probability that
his/her score is
over 63?
a)
(i)
(ii)
(iii)
b) between 35 and 63?
(i)
(ii)
Name:
Quiz 7
(iii)
2. Refer to problem #1. If 16 people are selected at random, what is the probability that their average
score is over 55?
(i)
(ii)
(iii)
3. Refer to problem #1. If you wish to give merit bonuses to the top 15% of the employees, what rating
should you use as your cutoff? (In other words, find the 85th percentile.)
Transcribed Image Text:Stat 243-007 Fall 2017 In each part of problems 1 and 2, (i) write the probability in terms of X or X [for example, P(X ≥100) or P(X <17)], (ii) draw the picture, and (iii) find the answer. 1. The performance ratings for a population of employees at a large factory are normally distributed with mean 53 and standard deviation 10. If one person is selected at random, what is the probability that his/her score is over 63? a) (i) (ii) (iii) b) between 35 and 63? (i) (ii) Name: Quiz 7 (iii) 2. Refer to problem #1. If 16 people are selected at random, what is the probability that their average score is over 55? (i) (ii) (iii) 3. Refer to problem #1. If you wish to give merit bonuses to the top 15% of the employees, what rating should you use as your cutoff? (In other words, find the 85th percentile.)
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