Find the critical value. Show work; do not plug values into calculator. A) There
ID: 3351354 • Letter: F
Question
Find the critical value. Show work; do not plug values into calculator.
A) There is an annual hot dog eating contest in Plattsburg, MS and the average number of hot dogs eaten by one person is 36 with a standard deviation of 6. Find the critical value for a person who can eat more than 2 deviations above the mean.
B) Female high school seniors at a particular school have an average height of 65 inches with a standard deviation of 5 inches. Find the critical value for a female high senior who is less than 1 deviation from the mean.
C) The average weight of a newborn at a particular hospital is 96 ounces with a standard deviation of 3 ounces. Find the critical value for a newborn who is 2 standard deviations below the average weight.
Explanation / Answer
a)
=36
=6
More than 2 deviations means z is 2
So x=z* +
=2*6 +36
=12 +36
=48
b)
=65
=5
less than 1 deviation means that z=-1
x=z* +
=-1*5 + 65
=-5 +65
=60
c)
=96
=3
less than 2 deviations below mean means that z=-2
so, x=z* +
=-2*3 +96
=-6 +96
=90
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