Question

A soft-drink machine is designed to discharge, when operating
properly, at most 20 ounces of beverage per cup with a standard
deviation of 2.1 ounces. To check the machine reliability, a random
sample of 25 cupfuls is selected. Compute the power of the test if
the true (actual) population average amount dispensed is 21.6
ounces per cup. Use _{a} = 0.0294.

Answer #1

A soft-drink machine is designed to discharge, when operating
properly, at most 20 ounces of beverage per cup with a standard
deviation of 2.1 ounces. To check the machine reliability, a random
sample of 25 cupfuls is selected. Compute the power of the test if
the true (actual) population average amount dispensed is 21.6
ounces per cup. Use .
Please show work.

A vending machine is designed to discharge at least 275mL of
drink per cup on average. A number of customers complain that this
is not the case and they are getting less than this amount. In
response to the complaints, a random sample of 30 cups is taken in
order to conduct an appropriate hypothesis test for the population
mean, using a 5% level of significance. (Note: Assume that the
population standard deviation is 14mL.)
Calculate the probability of Type...

Consider a vending machine that is supposed to dispense eight
ounces of soft drink. A random sample of 20 cups taken over a
one-week period had an average of 7.845 ounces, and a standard
deviation of 0.1986. Estimate a 95% confidence interval of the true
mean dispensed by the machine and interpret (in a sentence) what it
means.

A soft drink filling machine, when in perfect adjustment, fills
bottles with 12 ounces of soft drink. A random sample of 25 bottles
is selected, and the contents are measured. The sample yielded a
mean content of 11.88 ounces, with a sample standard deviation of
0.16 ounce.
Set up the hypotheses, and with a .05 level of significance,
test to see if the machine is in perfect adjustment. Show your
work.

A soft drink filling machine, when in perfect adjustment, fills
the bottles with 12 ounces of soft drink. A random sample of 49
bottles is selected, and the contents are measured. The sample
yielded a mean content of 11.88 ounces with a standard deviation of
0.35 ounces.
A) Specify the rejection region for = 0.01. Reject H0
if
B) What is the conclusion

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...

The manager of a local soft drink company believes that when a
new beverage dispensing machine is set to dispense 7 ounces, it in
fact dispenses an amount X at random anywhere between 6.5 and 7.5
ounces. Suppose that X has a uniform distribution.
Please answer with detailed working
a) Find P (X > 7.1)
b) Find P (6.85 < X < 7.25)
c) If you pick five bottles at random, what is the probability
that exactly three bottles will...

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