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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?

1 Answer

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  • 2 months ago

    ( 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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