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In: Math
3. A machine is used to fill containers with orange juice. Fill volume can be assumed...
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3. A machine is used to fill containers with orange juice. Fill volume can be assumed to be normally distributed. A random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99. (a) Construct and run an appropriate test of hypothesis in order that manufacturer can be sure that the mean net contents exceed 12 oz. What conclusions can be drawn from the data (use α = 0.01)? (b) Construct a 95% two-sided confidence interval on the mean fill volume. (c) Does the assumption of normality seem appropriate for the fill volume data? Why or why not? |
Solutions
milcah answered 4 months agoRelated Solutions
A machine is used to fill containers with a liquid product. Fill volume can be assumed...
A machine is used to fill containers with a liquid product. Fill
volume can be assumed to be normally distributed. A random sample
of ten containers is selected, and the net contents (oz) are as
follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02,
12.05, and 11.99.
(d) Predict with 95% confidence the value of the 11th filled
container.
(e) Predict with 95% confidence the interval containing 90% of
the filled containers from the process.
*please calculate by hand (not...
A machine is used to fill containers with a liquid product. Fill volume can be assumed...
A machine is used to fill containers with a liquid product. Fill
volume can be assumed to be normally distributed. A random sample
of ten containers is selected, and the net contents (oz) are as
follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02,
12.05, and 11.99.
(d) Predict with 95% confidence the value of the 11th filled
container.
(e) Predict with 95% confidence the interval containing 90% of
the filled containers from the process.
3. A machine is used to fill containers with a liquid product. Fill volume can be...
3. A machine is used to fill containers with a liquid
product. Fill volume can be assumed to be
normally distributed. A random sample of ten containers is
selected, and the net contents
(oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98,
11.96, 12.02, 12.05, 11.99.
a. Suppose that the manufacturer wants to be
sure that the mean net
contents
exceeds 12 oz. What
conclusions can be drawn from the data. Use a = 0.01.
b. Construct a 95%...
A machine is used to fill containers with a liquid product. It can be assumed that...
A machine is used to fill containers with a liquid product. It
can be assumed that the filling volume has a normal distribution. A
random sample of 32 containers is selected and the net contents are
those shown below. The manufacturer wants to make sure that the
average net content exceeds 12 oz and does not exceed 12.5 oz.,
What is the process capability to meet these specifications?
Explain your results. 12.09 12.35 12.06 11.61 12.53 11.85 11.65
12.07 12.29...
A machine is used to fill Apple Juice bottles with juice. The machine has a known...
A machine is used to fill Apple Juice bottles with juice. The
machine has a known standard deviation of ? = 0.05 liters. The
target mean fill volume is ? = 2.0 liters. A quality control
manager obtains a random sample of 50 bottles. He will shut down
the machine if the sample of these 50 bottles is less than 1.95 or
greater than 2.1. What is the probability that the quality control
manager will shut down the machine.?
A 3 percent rise in the price of orange juice decreases the quantity of orange juice...
A 3 percent rise in the price of orange juice decreases the
quantity of orange juice demanded by 9percent and increases the
quantity of apple juice demanded by 15 percent.
Calculate the price elasticity of demand for orange juice and
the cross elasticity of demand for apple juice with respect to the
price of orange juice.
Also this is similar
When Judy's income increased from $130 to $170 a week, she
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An orange juice processing plant has three production lines. The production lines fill juice into 400...
An orange juice processing plant has three production lines. The
production lines fill juice into 400 ml packages. The production
manager of the plant would like to know if the production lines are
all filling the packages the same amount.
A sample of 25 packages from each production line are taken and
the data is saved in juice.csv. The production manager would like
to know:
“are the three production lines filling packages with the
same amount of juice, on average?”....
When a liquid or a gas occupies a volume, it may he assumed to fill the...
When a liquid or a gas occupies a volume, it may he assumed to
fill the volume completely. On the other hand, when solid particles
occupy a volume, there are always spaces (voids) among the
particles. The porosity or void fraction of a bed of particles is
the ratio (void volume)/(total bed volume). The bulk density of the
solids is the ratio (mass of solids)/(total bed volume), and the
absolute density of the solids has the usual definition. (mass of...
A firm can produce orange juice in the US and ship it to Japan at a...
A firm can produce orange juice in the US and ship it to
Japan at a cost of $1.75/unit. They want to sell it with a 50%
markup (50% higher than their cost), and the yen/US$ exchange rate
is 111.11.
1) At what price would they sell it in Japan (in yen)?
2)What is their US$ profit?
Now suppose the $ appreciates from ¥/US$ 111.11 to
¥120/US$ prior to payment.
3) What is the new US$ revenue and profit?
4)...
A machine is designed to fill containers with 16 ounces of coffee. A consumer suspects that...
A machine is designed to fill containers with 16 ounces
of coffee. A consumer suspects that the machine is not filling the
containers completely and the amount of coffee is less than 16
ounces when filled. A sample of 8 containers has a mean of 15.6
ounces of coffee and a standard deviation of 0.3 ounces of
coffee. Assume that the distribution of data is normal.
At 10% significance level, is there enough evidence to support the
consumer’s suspicion that the...
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