In a population of children at a local elementary school, the average number of sick days taken per year is 6 with a standard deviation of 3. Assume that this distribution is normal. For random samples of size 125, what is the probability that a sample mean for sick days would be 7 or greater?
In a population of children at a local elementary school, the average number of sick days taken per year is 6 with a standard deviation of 3. Assume that this distribution is normal. For random samples of size 125, what is the probability that a sample mean for sick days would be 7 or greater?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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In a population of children at a local elementary school, the average number of sick days taken per year is 6 with a standard deviation of 3. Assume that this distribution is normal. For random samples of size 125, what is the probability that a sample mean for sick days would be 7 or greater?
!!!Can you please show the formula Used!!!
Expert Solution
Step 1
To calculate the required probability we need to the score 7 in to z-score then we will use z-table to calculate the probability.
Step 2
The Required formula to calculate the Z score is,
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