Question

The weight of potato chips in a small-size bag is stated to be 5 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of

5.1 ounces and a standard deviation of 0.09 ounces.

a) What fraction of all bags sold are underweight?

b) Some of the chips are sold in "bargain packs" of 5bags. What's the probability that none of the 5 is underweight?

c) What's the probability that the mean weight of the 5 bags is below the stated amount?

d) What's the probability that the mean weight of a 24-bag case of potato chips is below 5 ounces?

Answer #1

The weight of potato chips in a largelarge-size bag is stated
to be 20 ounces. The amount that the packaging machine puts in
these bags is believed to have a normal model with a mean of 20.1
ounces and a standard deviation of 0.09 ounces. a) What fraction
of all bags sold are underweight? b) Some of the chips are sold
in "bargain packs" of 3 bags. What's the probability that none of
the 3 is underweight? c) What's the...

The weight of potato chips in a medium-size bag is stated to be
10 ounces. The amount that the packaging machine puts in these bags
is believed to have a normal model with a mean of 10.2 ounces and a
standard deviation of 0.14 ounces.
a) What fraction of all bags sold are underweight?
b) Some of the chips are sold in "bargain packs" of 5 bags.
What's the probability that none of the 5 is underweight?
c) What's...

The weight of potato chips in a largelarge-size bag is stated
to be 16 ounces. The amount that the packaging machine puts in
these bags is believed to have a normal model with a mean of 16.3
ounces and a standard deviation of 0.17ounces. a) What fraction of
all bags sold are underweight? b) Some of the chips are sold in
"bargain packs" of 3 bags. What's the probability that none of the
3 is underweight? c) What's the probability...

The weight of cement in a large-size bag is stated to be 16 kg.
The amount that the packaging machine puts in these bags is
believed to have a normal model with a mean of 16.2kg and a
standard deviation of 0.14 kg.
a) What fraction of all bags sold are underweight?
b) Some of the cement is sold in "bargain packs" of 5 bags.
What's the probability that none of the 5 is underweight?
c) What's the probability that...

The weight of a bag of potato chips is stated as 300 g. The
amount that the packaging machine puts in each bag is normally
distributed with mean 306 g and standard deviation 3.6 g. (a) (4
points) What is the proportion of all bags sold that are
underweight? (b) (3 points) A ”bargain pack” contains two bags.
Find the probability that both are underweight. (c) (5 points) Find
the probability that the average weight of the bags in a...

The mean weight of a bag of potato chips from Potato Chip
Incorporated is 14.75 ounces with a standard deviation of 0.4
ounces. A sample of 100 bags of potato chips has a mean weight of
w.
(a) Assuming the weight of potato chip bags is normally
distributed, what is the mean and standard deviation of the
variable w?
(b) Assuming the weight of potato chip bags has a distribution of
unknown shape, what is the mean and standard deviation...

Question #11: A manufacturer makes bags of popcorn and bags of
potato chips. The average weight of a bag of popcorn is supposed to
be 3.06 ounces with an allowable deviation of 0.03 ounces. The
average weight of a bag of potato chips is supposed to be 5.08
ounces with an allowable deviation of 0.05 ounces. A factory worker
randomly selects a bag of popcorn from the assembly line and it has
a weight of 3.02 ounces. Then the worker...

A manufacturer of potato chips would like to know whether its
bag filling machine works correctly at the 434 gram setting. It is
believed that the machine is underfilling the bags. A 41 bag sample
had a mean of 433 grams. Assume the population standard deviation
is known to be 23. Is there sufficient evidence at the 0.05 level
that the bags are underfilled?

A manufacturer of potato chips would like to know whether its
bag filling machine works correctly at the 414
gram setting. It is believed that the machine is underfilling
the bags. A 16 bag sample had a mean of 405 grams with a variance
of 625. A level of significance of 0.025 will be used. Assume the
population distribution is approximately normal. Is there
sufficient evidence to support the claim that the bags are
underfilled?

The amount of corn chips dispensed into a 19?-ounce bag by the
dispensing machine has been identified at possessing a normal
distribution with a mean of 19.5 ounces and a standard deviation of
0.2 ounce. Suppose 100 bags of chips were randomly selected from
this dispensing machine. Find the probability that the sample mean
weight of these 100 bags exceeded 19.6 ounces.

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