Question

A bottling machine can be regulated so that it discharges an
average of ounces per bottle. It

has been observed that the amount of fill (Y) dispensed by the
machine is normally distributed with sigma = 1 ounce. If

Y1, Y2, ..., Y16 is a random sample from the output of the machine
on a given day (all bottled with the same machine setting). (a)
What is the mean of barY? i.e. µ = ? (b) What is the standard
deviation of barY? i.e. sigma =? (c) Find the probability that the
sample mean (barY ) will be within 0.3 ounce of the true mean
(population mean) µ for the chosen machine setting.

Answer #1

A soft-drink machine is regulated so that it discharges an
average of 6.6 ounces per cup. The amount of drink is normally
distributed with a standard deviation equal to 0.5 ounces.
Part 1: (3 points ) What is the probability that a
cup will contain more than 7.54 ounces?
Part 2: (3 points ) What is the probability that a cup
contains between 6.54 and 7.06 ounces?
Part 3: (4 points ) Suppose we want to regulate this machine so
that only...

A soft-drink machine is regulated so that it discharges an average of 250 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 20 milliliters,
a) What fraction of the cups will contain more than 264 milliliters?
b) How many cups will probably overflow if 270-milliliter cups are used for the next eight thousand drinks?
c) Above what value do we get the largest 28% drinks?

A beer machine is regulated so that it discharges an average of
330 milliliters per glass. If the amount of beer discharged is
normally distributed with a standard deviation equal to 5
milliliters,
(a) what fraction of the glasses will contain more than 336
milliliters?
(b) what is the probability that a glass contains between 320
and 340 milliliters?
(c) how many cups do you expect to overflow if 336-milliter
glasses are used for the next 1000 drinks? (
d)...

The Crown Bottling Company has just installed a new bottling
process that will fill 20-ounce bottles of the popular Crown
Classic Cola soft drink. Both overfilling and underfilling bottles
are undesirable: Underfilling leads to customer complaints and
overfilling costs the company considerable money. In order to
verify that the filler is set up correctly, the company wishes to
see whether the mean bottle fill, µ, is close to the target fill of
20 ounces. To this end, a random sample...

1. If Z is a standard normal random variable, find the
value z0 for the following probabilities. (Round your
answers to two decimal places.)
(a) P(Z > z0) = 0.5
z0 =
(b) P(Z < z0) = 0.8686
z0 =
(c) P(−z0 < Z < z0) = 0.90
z0 =
(d) P(−z0 < Z < z0) = 0.99
z0 =
2. A company that manufactures and bottles apple juice uses a
machine that automatically fills 64-ounce bottles. There is some...

A soda machine dispenses normally distributed amounts of soda
with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are
you more likely to randomly select one bottle with more than 21.3
ounces or are you more likely to select a sample of eight bottles
with a mean amount of more than 21.3 ounces? Explain.

A soda machine dispenses normally distributed amounts of soda
with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are
you more likely to randomly select one bottle with an amount more
than 20.3 ounces or are you more likely to select a sample of eight
bottles with a mean amount more than 20.3 ounces? Explain.

Suppose that the distribution for total amounts spent by
students vacationing for a week in Florida is normally distributed
with a mean of 650 and a standard deviation of 120. Suppose you
take a simple random sample (SRS) of 10 students from this
distribution.
What is the probability that a SRS of 10 students will spend an
average of between 600 and 700dollars? Round to five decimal
places.
A machine is designed to fill 16-ounce bottles of shampoo. When
the...

BridgeRock is a major manufacturer of tires in the U.S.. The
company had five manufacturing facilities where tires were made and
another 20 facilities for various components and materials used in
tires. Each manufacturing facility produced 10,000 tires every
hour. Quality had always been emphasized at BridgeRock, but lately
quality was a bigger issue because of recent fatal accidents
involving tires made by other manufacturers due to tread
separation. All tire manufacturers were under pressure to ensure
problems did not...

A company that makes cola drinks states that the mean caffeine
content per 12-ounce bottle of cola is 40 milligrams. You want to
test this claim. During your tests, you find that a random sample
of thirty 12-ounce bottles of cola has a mean caffeine content of
40.6 milligrams. Assume the population is normally distributed and
the population standard deviation is 7.5 milligrams. At
alphaequals0.09, can you reject the company's claim? Complete
parts (a) through (e).
(a) Identify Upper H...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 44 minutes ago

asked 55 minutes ago

asked 56 minutes ago

asked 59 minutes ago

asked 59 minutes ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago