Question

Consider the filling of cereal packages. Suppose that industry regulations state that if the mean package weight is not 16 ounces or more for a population of packages with label weight 16 ounces, then the company will be prosecuted. In this situation we, as the regulators, could prosecute only if we found strong evidence that the mean package weight was less than 16 ounces. Thus, our objective is to verify that the mean package weight, is not 16.0 ounces or more. Suppose that for this problem the population standard deviation is s = 0.4 and we obtain a random sample of 25, with an average of 18 ounces. Assume α = 0.05. Is the population mean package weight more than 16.0 ounces? Draw a bell shape and state which region is rejected.

i dont know how to draw the bell shape and which region should be rejected

Answer #1

Consider the filling of cereal packages. Suppose that
industry regulations state that if the mean package weight is not
16 ounces or more for a population of packages with label weight 16
ounces, then the company will be prosecuted. In this situation we,
as the regulators, could prosecute only if we found strong evidence
that the mean package weight was less than 16 ounces. Thus, our
objective is to verify that the mean package weight, is not 16.0
ounces or...

A manufacturer of chocolate candies uses machines to package
candies as they move along a filling line. Although the packages
are labeled as 8 ounces, the company wants the packages to contain
a mean of 8.15 ounces so that the probability of producing a
package that contains less than 8 ounces is very small. A sample of
30 packages is selected periodically and weighed, and the packaging
process is stopped if there is evidence that the mean packaged
amount is...

A manufacturer of chocolate candies uses machines to package
candies as they move along a filling line. Although the
packages are labeled as 8 ounces, the company wants the packages to
contain a mean of 8.17 ounces so that the probability of producing
a package that contains less than 8 ounces is very
small. A sample of 50 packages is selected periodically
and weighed, and the packaging process is stopped if there is
evidence that the mean packaged amount is statistically different...

A manufacturer of chocolate candies uses machines to package
candies as they move along a filling line. Although the packages
are labeled as 8 ounces, the company wants the packages to contain
a mean of 8.17 ounces so that virtually none of the packages
contain less than 8 ounces. A sample of 50 packages is selected
periodically, and the packaging process is stopped if there is
evidence that the mean amount packaged is different from 8.17
ounces. Suppose that in...

A machine that is programmed to package 3.30 pounds of cereal is
being tested for its accuracy. In a sample of 49 cereal boxes, the
sample mean filling weight is calculated as 3.39 pounds. The
population standard deviation is known to be 0.14 pound.
[You may find it useful to reference the z
table.]
a-1. Identify the relevant parameter of
interest for these quantitative data.
The parameter of interest is the proportion filling weight of
all cereal packages.
The parameter...

A machine that is programmed to package 5.69 pounds of cereal is
being tested for its accuracy. In a sample of 100 cereal boxes, the
sample mean filling weight is calculated as 5.69 pounds. The
population standard deviation is known to be 0.05 pound. Use Table
1.
a-1.
Identify the relevant parameter of interest for these
quantitative data.
The parameter of interest is the average filling weight of all
cereal packages.
The parameter of interest is the proportion filling...

A manufacturer of chocolate candies uses machines to package
candies as they move along a filling line. Although the packages
are labeled as 8 ounces, the company wants the packages to contain
a mean of 8.17 ounces so that virtually none of the packages
contain less than 8 ounces. A sample of 50 packages is selected
periodically, and the packaging process is stopped if there is
evidence that the mean amount packaged is different from 8.17
ounces. Suppose that in...

A machine that is programmed to package 5.20 pounds of cereal is
being tested for its accuracy. In a sample of 100 cereal boxes, the
sample mean filling weight is calculated as 5.26 pounds. The
population standard deviation is known to be 0.08 pound. [You may
find it useful to reference the z table.]
a-1. Identify the relevant parameter of interest for these
quantitative data. Multiple choice, pick one answer.
-The parameter of interest is the proportion filling weight of...

The average weight of a package of rolled oats is supposed to be
at least 16 ounces. A sample of 18 packages shows a mean of 15.81
ounces with a standard deviation of .48 ounce.
(a)
At the 5 percent level of significance, is the true mean smaller
than the specification? Clearly state your hypotheses and decision
rule.
a.
H0: μ ≥ 16. Reject
H0 if p > 0.05
b.
H1: μ < 16. Reject
H1 if p < 0.05...

Q1) Suppose a production line operates with a mean filling
weight of 16 ounces per container. Since
over- or under-filling can be dangerous, a quality control
inspector samples of 24 items to determine
whether the filling weight must be adjusted. The sample revealed a
mean of 16.32 ounces with a
sample standard deviation of 0.8 ounces. Using a 0.10 level of
significance, can it be concluded that the
process is out of control (not equal to 16 ounces)?
Q2) A...

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