It is generally believed that nearsightedness affectsabout 12% of all children. A local elementary school registered 100 incoming kindergarteners.a) Find the mean and standard deviation of the sampling distribution and describe the samplingdistribution using the notation ?(?, ?).b) What is the probability that less than 10% of the incoming kindergarteners are nearsighted?c) What is the probability that more than 15% of the incoming kindergarteners are nearsighted?d) If this school measures at the 80th percentile for all incoming kindergarten classes, whatproportion of incoming kindergarteners are nearsighted?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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It is generally believed that nearsightedness affects
about 12% of all children. A local elementary school registered 100 incoming kindergarteners.
a) Find the mean and standard deviation of the sampling distribution and describe the sampling
distribution using the notation ?(?, ?).
b) What is the probability that less than 10% of the incoming kindergarteners are nearsighted?
c) What is the probability that more than 15% of the incoming kindergarteners are nearsighted?
d) If this school measures at the 80th percentile for all incoming kindergarten classes, what
proportion of incoming kindergarteners are nearsighted?

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