Question

Beer bottles are filled so that they contain an average of 475 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 8 ml. a. What is the probability that a randomly selected bottle will have less than 470 ml of beer? b. What is the probability that a randomly selected 6-pack of beer will have a mean amount less than 470 ml?

Answer #1

Beer bottles are filled so that they contain an average of 475
ml of beer in each bottle. Suppose that the amount of beer in a
bottle is normally distributed with a standard deviation of 8
ml.
a. What is the probability that a randomly
selected bottle will have less than 470 ml of beer? (Round
answer to 4 decimal places.)
b. What is the probability that a randomly
selected 6-pack of beer will have a mean amount less than...

Beer bottles are filled so that they contain an average of 455
ml of beer in each bottle. Suppose that the amount of beer in a
bottle is normally distributed with a standard deviation of 8 ml.
[You may find it useful to reference the z
table.]
a. What is the probability that a randomly
selected bottle will have less than 452 ml of beer? (Round
intermediate calculations to at least 4 decimal places,
“z” value to 2 decimal places,...

Beer bottles are filled so that they contain an average of 480
ml of beer in each bottle. Suppose that the amount of beer in a
bottle is normally distributed with a standard deviation of 8 ml.
[You may find it useful to reference the z
table.]
a. What is the probability that a randomly
selected bottle will have less than 474 ml of beer? (Round
intermediate calculations to at least 4 decimal places,
“z” value to 2 decimal places,...

Question 3 Beer bottles are filled at an automated filling plant
so that the mean volume of beer is set at 330 ml. in each bottle.
From historic data, we know the volume of beer filled in a bottle
is normally distributed with a standard deviation of 4 ml.
Required of you:
a) What is the probability that a randomly selected bottle will
contain less than 325 ml?
b) What is the probability that a randomly selected 6-pack will
have...

A local brewery sells their beer in 330 ml bottles. On
average the beer is filled with 328.2 ml with a standard deviation
of 0.7 ml.
1. Use this information to answer the following
questions, and round your answers to four decimal places
A) What is the z-score for a six-pack with an
average fill from all the bottles being 328.6 ml?
B) What is the z-score for a twelve-pack with
an average fill from all the bottles being 328.6...

The contents of soft drink bottles are normally distributed with
a mean of 12 ounces and a standard deviation of 0.2 ounce. Use
excel to get answers
(a) what is the probability that a random selected bottle will
contain less than 11.5 ounces?
(b) What is the probability that a randomly selected bottle will
contain between 11.5 and 12.5 ounces?
(c) What is the probability that a randomly selected bottle will
contain more than 12.5 ounces?
(d) What is the...

Suppose a brewery has a filling machine that fills 12 ounce
bottles of beer. It is known that the amount of beer poured by this
filling machine follows a normal distribution with a mean of 12.14
ounces and a standard deviation of 0.06 ounce.
a) Find the probability that the bottle contains fewer than
12.00 ounces of beer. Label the sketch of the normal curve with the
values from the problem situation. Label the mean and the desired
outcome. Use...

Suppose a brewery has a filling machine that fills 12 ounce
bottles of beer . It is known that the amount of beer poured by
this filling machine follows a normal distribution with a mean of
12.14 ounces and a standard deviation of 0.06 ounce.
a)Find the probability that the bottle contains fewer than 12.00
ounces of beer.Label the sketch of the normal curve with the values
from the problem situation. Label the mean and the desired outcome.
Use a...

3) Suppose a brewery has a filling machine that fills
12 ounce bottles of beer. It is
known that the amount of beer poured by this filling machine
follows a normal
distribution with a mean of 12.14 ounces and a standard deviation
of 0.06 ounce.
a) Find the probability that the bottle contains fewer than 12.00
ounces of beer.
Label the sketch of the normal curve with the values from the
problem
situation. Label the mean and the desired outcome....

Bottles filled by a certain machine are supposed to contain 12
oz of liquid. In fact the fill volume is random with mean 12.01 oz
and standard deviation 0.35 oz.
a) What is the probability that the mean volume of a random
sample of 144 bottles is less than 12 oz?
b) If the population mean fill volume is increased to 12.03 oz,
what is the probability that the mean volume of a sample of size
144 will be less...

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