Question
In: Statistics and Probability
One 16-ounce bottle of an energy drink has an average of 400 mg of caffeine with...
One 16-ounce bottle of an energy drink has an average of 400 mg of caffeine with a standard deviation of 20 mg. What is the probability that the average caffeine in a sample of 25 bottles is no more than 390 milligrams?
a) 0.006
b) 0.004
c) 0.002
d) 0.001
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 400
standard deviation = 
= 20
n = 25
= 400
=
/ 
P (
390 )
P ( -
/)
(390 - 400 /4)
P( z
- 10 / 4)
P ( z
-2.5 )
Using z table
= 0.0062
Probability = 0.006
Option a ) is correct.
orchestra answered 2 years agoRelated Solutions
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