The student will calculate probabilities using the Central Limit Theorem.
Given
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately 4 hours each to do with a population standard deviation of 1.2 hours. Let
be the random variable representing the time it takes her to complete one review. Assume
is normally distributed. Let
be the random variable representing the mean time to complete the 16 reviews. Let
be the total time it takes Yoonie to complete all of the month’s reviews. Assume that the 16 reviews represent a random set of reviews.
Distribution
Complete the distributions.
~
~
~
Graphing probability
For each problem below:
Sketch the graph. Label and scale the horizontal axis. Shade the region corresponding to the probability.
Calculate the value.
Find the probability that
one review will take Yoonie from 3.5 to 4.25 hours.
________
________
_______
3.5, 4.25, 0.2441
Find the probability that the
mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs.
_______
0.7499
Find the probability that the
sum of the month’s reviews takes Yoonie from 60 to 65 hours.
The Probability=
0.3802
Discussion question
What causes the probabilities in
[link] and
[link] to differ?
Questions & Answers
why economics is difficult for 2nd school students.
economics theory describes individual behavior as the result of a process of optimization under constraints the objective to be reached being determined by
Kalkidan
Economics is a branch of social science that deal with How to wise use of resource ,s
Kassie
need
WARKISA
Economic Needs: In economics, needs are goods or services that are necessary for maintaining a certain standard of living. This includes things like healthcare, education, and transportation.
Money market is a branch or segment of financial market where short-term debt instruments are traded upon. The instruments in this market includes Treasury bills, Bonds, Commercial Papers, Call money among other.
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Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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