# statistics homework problem?

the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and a standard deviation of 118 chips.

A) determine the 25th 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 interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?

Relevance
• ( A )

determine the 25th percentile for the number of chocolate chips in a bag.

@25th percentile; Z = -0.67449

X = μ + Zσ

X = 1262 - 0.67449 ( 118 )

X = 1182

( B )

determine the number of chocolate chips in a bag that make up the middle 97% of bags.

the middle 97% leaves 1.5% in each tail : Z = ±2.17009

( μ + Zσ ) -  ( μ - Zσ )

= ( 1262 + 2.17009( 118 ) ) - ( 1262 - 2.17009 ( 118 ) )

= 512

( C )

what is interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?

@25th percentile; Z = -0.67449

@75th percentile; Z = 0.67449

IQR = ( 1262 + 0.67449( 118 ) ) - ( 1262 - 0.67449 ( 118 ) )

IQR = 159

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