Question

In: Statistics and Probability

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed...

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?

.

Solutions

Expert Solution

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


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