Question

The number of chocolate chips in an eighteen-ounce bag of Chips Ahoy chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and a standard deviation of 118 chips, according to a study by the U.S. Air Force Academy.

a. You win a golden chocolate chip trophy if your bag ranks in the 90th percentile of chocolate chips. How many chocolate chips would your bag need to have in order to qualify for this award?

b. Let say the Chips Ahoy company will refund your purchase if you bag of contains too few chocolate chips. How many chocolate chips would constitute the lowest 5% of the distribution?

Answer #1

number of chocolate chips is normally distributed with

a) Let the 90th percentile be A

critical Z value corresponding to probability 0.90 is 1.2816

1413 chocolate chips is required for bag needed to have in order to qualify for this award

b) Let B be the number of chocolate chips for the lowest 5%

critical Z value corresponding to probability 0.05 is -1.645

1068 chocolate chips constitute the lowest 5% of the distribution

the
number of chocolate chips in an 18-oz bag of chip ahoy! chocolate
chips is approximated normally distributed with a mean of 1262
chips and a standard deviation of 118 chips according to a study by
cadets of the US air force academy. determine the 30th percentile
for the number of chocolate chips in an 18-oz bag of chips ahoy!
cookies.

the number of chocolate chips in the 18 ounce bag of chips ahoy?
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4. The number of chocolate chips in an 18-ounce bag of Chips
Ahoy! cookies is approximately normally distributed with a mean of
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(a) (3 points) What is the probability that a randomly selected
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Problem 4 continued:
(b) (3 points)...

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¯.
i. Center: μ x ¯=
ii. Spread: σ x ¯= (round to 2 decimal places)
iii....

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