SOLUTION: 1. The annual per capita consumption of ice cream​ (in pounds) in the United States can be approximated by a normal distribution with mean of 14 lbs and a standard deviation
Algebra.Com
Question 1072194: 1. The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 14 lbs and a standard deviation of 2.1 lbs.
a. What percent of the population consumes at most 10 lbs yearly?
b. Jack estimates that 24% of the population eats more ice cream than he does. Find how much ice cream he eats per year.
c. Between what two values does the middle 80% of the consumption lie?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 14 lbs and a standard deviation of 2.1 lbs.
a. What percent of the population consumes at most 10 lbs yearly?
z(10) = (10-14)/2.1 = -1.9047
----
Find the percentage below that z-value
P(x <= 10) = P(z <= -1.9047) = normalcdf(-100,-1.9047) = 0.0284
--------------
b. Jack estimates that 24% of the population eats -more ice cream than he does. Find how much ice cream he eats per year.
Find the z-value with a right tail of 0.24
invNorm(0.76) = 0.7063
Find the corresponding raw score value::
x = 0.7063*2.1 + 14
x = 15.48 lbs (Amt. he consumes yearly)
------------
c. Between what two values does the middle 80% of the consumption lie?
Find the z-value with a left tail of 10%
invNorm(0.1) = -1.2816
Find the correspond lbs at +1.2816 and -1.2816
x = 1.2816*2.1+14 and x = -1.2816*2.1+14
Those are the upper and lower limits of the interval.
Cheers,
Stan H.
-------------
RELATED QUESTIONS
the annual per capita consumption of ice cream (in pounds) in the United States can be... (answered by stanbon)
1. The annual per capita consumption of ice cream (in pounds) in the United States (answered by Boreal)
Good morning!!
Please I need help to find the specified normal distribution
Ice Cream (answered by stanbon)
APPLES: the annual per capita consumption of fresh apples
(in pounds) in the united... (answered by ikleyn)
According to the data from the U.S. department of Agriculture, the annual per capita... (answered by cutepiscean5)
I have this homework with 15 questions on them done them all but I'm just a little... (answered by rwm)
The per capita energy consumption level​ (in kilowatt-hours) in a certain country for a (answered by Boreal)
Assume that the per capita consumption of bottled water in the United States is... (answered by ikleyn)
The consumption of a vegetable has decreased. The consumption per capita in 2000 was 28.1 (answered by Simnepi)