Question

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean 1262 and a standard deviation of 117. (a) Determine the 28th 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 98% of bags. (c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?

Answer #1

Solution :

mean = = 1262

standard deviation = = 117

Using standard normal table,

a ) The 28^{th} percentile

P(Z < z) = 28%

P(Z < z) = 0.28

P(Z < - 0.5828 ) = 0.28

z = -0.58

Using z-score formula,

x = z * +

x = - 0.58 * 117 + 1262

= 1194.14

The 28^{th} percentile = 1194.14

b ) The 98^{th} percentile

P(Z < z) = 98%

P(Z < z) = 0.98

P(Z < 2.054 ) = 0.98

z =2.05

Using z-score formula,

x = z * +

x = 2.05 * 117 + 1262

= 1501.85

The 98^{th} percentile = 1501.85

c ) The interquartile range = Q_{3} -
Q_{1}

= 1501.85 - 1194.14

= 307.71

The interquartile range = 307.71

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 29th 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 96% of bags.
(c) What is the interquartile range of the number of chocolate
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The number of chocolate chips in a bag of chocolate chip cookies
is approximately normally distributed with a mean of 1261 chips and
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chips in a bag.
?(b) Determine the number of chocolate chips in a bag that make
up the middle 95?% of bags.
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chips in a bag of chocolate chip?...

The number of chocolate chips in a bag of chocolate chip cookies
is approximately normally distributed with a mean of 1261 chips and
a standard deviation of 117 chips.
(a) Determine the 27th 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 96%of bags.
(c) What is the interquartile range of the number of chocolate
chips in a bag of chocolate chip cookies?

The number of chocolate chips in a bag of chocolate chip cookies
is approximately normally distributed with mean 1262 and a standard
deviation of 118.
(a). Determine the 26th percentile for the number of chocolate
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up the middle 95% of bags.
(c). What is the interquartile range of the number of chocolate
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The number of chocolate chips in a bag of chocolate chip cookies
is approximately normally distributed with mean 1261 and a standard
deviation of 118. (b) Determine the number of chocolate chips in
a bag that make up the middle 98% of bags. (c) What is the
interquartile range of the number of chocolate chips in a bag of
chocolate chip cookies?

The number of chocolate chips in a bag of chocolate chip cookies
is approximately normally distributed with mean 1263
and a standard deviation of 118
(a) Determine the 26th 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 96%. of bags
(c) What is the interquartile range of the number of chocolate
chips in a bag of chocolate chip cookies?

The number of chocolate chips in a bag of chocolate chip cookies
is approximately normally distributed with a mean of 1261
chips and a standard deviation of 118 chips.
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bag that make up the middle 95% of bags.
(c) What is the interquartile range of the number of chocolate
chips in a bag of chocolate chip...

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is approximately normally distributed with a mean of 1261 chips and
a standard deviation of 118 chips.
(a) Determine the 27th 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
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