Question
In: Statistics and Probability
The foreman of a bottling plant has observed that the amount of soda in each 32-ounce...
The foreman of a bottling plant has observed that the amount of
soda in each 32-ounce bottle is actually a normal distributed
random variable, with a mean of 32.2 ounces and a standard
deviation of 0.3 ounce. A customer buys a carton of four
bottles.
A. What is the probability that the mean amount of the four bottles
will be greater than 31.9 ounces?
B. What is the probability that the mean amount of the four bottles will be between 31.8 and 32.4 ounces?
C. Below what amount does 55.57% of the mean amount fall?
Solutions
orchestra answered 1 year agoRelated Solutions
In a plant that fills 12 ounce cans of soda, the mean fill amount with the...
In a plant that fills 12 ounce cans of soda, the mean fill
amount with the current machinery is 12.2 ounces with a standard
deviation of 0.03 ounces. A new machine is said to be more
accurate, so the company tested this new machine on a run of 10
cans, and obtained the following fill amounts:
12.03 12.10 12.02 11.92 12.10 12.00 12.05 11.97 11.99 11.87
Test the claim that the standard deviation of the new machine is
lower than...
A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine...
A soda bottling plant fills cans labeled to contain 12 ounces of
soda. The filling machine varies and does not fill each can with
exactly 12 ounces. To determine if the filling machine needs
adjustment, each day the quality control manager measures the
amount of soda per can for a random sample of 50 cans. Experience
shows that its filling machines have a known population standard
deviation of 0.35 ounces.
In today's sample of 50 cans of soda, the sample...
1. The Crown Bottling Company has installed a new bottling process that will fill 12- ounce...
1. The Crown Bottling Company has installed a new bottling
process that will fill 12- ounce bottles of Cola. Both overfilling
and underfilling of bottles is undesirable. The company wishes to
see whether the mean bottle fill, µ, is approximately the target of
12 ounces. The standard deviation of the process is such that
σ=0.41. The company samples 32 bottles. Use a hypothesis test, at a
5% level of significance, and the sample mean to determine whether
the filler should...
The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles...
The Crown Bottling Company has just installed a new bottling
process that will fill 16-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
16 ounces. To this end, a random sample...
The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles...
The Crown Bottling Company has just installed a new bottling
process that will fill 16-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 16 ounces. To this end, a random sample...
The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles...
The Crown Bottling Company has just installed a new bottling
process that will fill 16-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 16 ounces. To this end, a random sample...
The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles...
The Crown Bottling Company has just installed a new bottling
process that will fill 16-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
16 ounces. To this end, a random sample...
The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles...
The Crown Bottling Company has just installed a new bottling
process that will fill 16-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
16 ounces. To this end, a random sample...
The Local Bottling Company has just installed a new bottling process that will fill 16-ounce bottles...
The Local Bottling Company has just installed a new bottling
process that will fill 16-ounce bottles of the popular Paradise
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 16 ounces. To this end, a random sample...
The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles...
The Crown Bottling Company has just installed a new bottling
process that will fill 16-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 16 ounces. To this end, a random sample...
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