In: Statistics and Probability
The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of
1263
chips and a standard deviation of
117 chips
(a) Determine the30th
percentile for the number of chocolate chips in a bag.
(b) Determine the number of chocolate chips in a bag that make up the middle
97%
of bags.
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?
.
Answer:
Given that:
The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1263 chips and a standard deviation of 117 chips
X = Number of chocolate chips in a bag of chocolate chips
X Normal( = 1263, = 117)
(a) Determine the 30th percentile for the number of chocolate chips in a bag.
(b) Determine the number of chocolate chips in a bag that make up the middle 97% of bags.
We want to find a and b such that
c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?
is such that
is such that
Interquartile range