Question

Suppose that weights of bags of potato chips coming from a factory follow a normal distribution with a mean of 14.5 ounces and a standard deviation of .7 ounces. How many standard deviations away from the mean is a bag that weighs 15.9 ounces?

Answer #1

TOPIC:Z-scores.

Weights of chocolate chip bags follow an approximately
normal distribution with mean 11.16 ounces and a standard deviation
of .15 ounce. Use this information to answer the next two
questions:(use stat-crunch)
2. One bag of chocolate chips weighed 1.55 standard
deviation above average. What proportion of bags weighs more than
this bag? (4 decimal places)
3. The lightest 10% of chocolate chip bags weigh less than
how many ounces? (3 decimal places)

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...

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 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 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 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...

Potato chip bags are
labeled as containing 9 ounces of potato chips. To determine the
accuracy of this label, a simple random sample of 37 bags was
taken. The sample mean was 8.73 ounces and the sample standard
deviation was 0.18 ounces. Construct a 98 %
confidence interval for the population mean weight of bags of
potato chips.
a) Give the critical
value, ??.
b) Compute the
standard error, ?? ̅.
c) Calculate the
maximal margin of error, ?.
d)...

A local company makes snack-size bags of potato chips. The
company produces batches of 400 snack-size bags using a process
designed to fill each bag with an average of 2 ounces of potato
chips. However, due to imperfect technology, the actual amount
placed in a given bag varies. Assume the population of filling
weights is normally distributed with a standard deviation of 0.1
ounce. The company periodically weighs samples of 10 bags to ensure
the proper filling process. The last...

Bags of a certain brand of potato chips say that the net weight
of the contents is 35.6 grams. Assume that the standard deviation
of the individual bag weights is 5.2 grams. A quality control
engineer selects a random sample of 35 bags. The mean weight of
these 35 bags turns out to be 33.6 grams. If the mean and standard
deviation of individual bags is reported correctly, what is the
probability that a random sample of 35 bags has...

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