Question

A random sample of 49 drinks from a beverage-dispensing machine gave an average of 12.2 ounces with a standard deviation of 0.7 ounces. How large a sample is needed to obtain a 95% confidence interval for the true mean amount dispensed by the machine within an error bound of 0.1?

Answer #1

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 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.

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 random sample of 49 teenagers from a large population was
surveyed, and the average number of movies that they had rented in
the past week was x = 1.9, with a sample standard deviation of s =
0.5.
a) Construct a 95% confidence interval for the average number of
movies rented by teenagers in a week.
b) Construct a 99% confidence interval for the average number of
movies rented by teenagers in a week.

A random sample of 49 teenagers from a large population was
surveyed, and the average number of movies that they had rented in
the past week was x = 1.9, with a sample standard deviation of s =
0.5. a) Construct a 95% confidence interval for the average number
of movies rented by teenagers in a week. b) Construct a 99%
confidence interval for the average number of movies rented by
teenagers in a week.

A random sample of 49 teenagers from a large population was
surveyed, and the average number of movies that they had rented in
the past week was x = 1.9, with a sample standard deviation of s =
0.5. a) Construct a 95% confidence interval for the average number
of movies rented by teenagers in a week. b) Construct a 99%
confidence interval for the average number of movies rented by
teenagers in a week.t v

A random sample of 49 lunch customers was selected at a
restaurant. The average amount of time the customers in the sample
stayed in the restaurant was 40 minutes. From past experience, it
is known that the population standard deviation equals 10
minutes.
a.
Compute the standard error of the mean.
b.
Construct a 95% confidence interval for the true
average amount of time customers spent in the restaurant.
c.
With a .95 probability, what sample size would have to...

Question 1 A random sample of 49 teenagers from a large
population was surveyed, and the average number of movies that they
had rented in the past week was x = 1.9, with a sample standard
deviation of s = 0.5.
a) Construct a 95% confidence interval for the average number of
movies rented by teenagers in a week
. b) Construct a 99% confidence interval for the average number
of movies rented by teenagers in a week.

A bottling machine can be regulated so that it discharges an
average of ounces per bottle. It
has been observed that the amount of fill (Y) dispensed by the
machine is normally distributed with sigma = 1 ounce. If
Y1, Y2, ..., Y16 is a random sample from the output of the machine
on a given day (all bottled with the same machine setting). (a)
What is the mean of barY? i.e. µ = ? (b) What is the standard...

A jar of peanuts is supposed to have 16 ounces of peanuts. The
filling machine inevitably experiences fluctuations in filling, so
a quality-control manager randomly samples 12 jars of peanuts from
the storage facility and measures their contents. She obtains the
accompanying data. Complete parts (a) through (d) below.
Jar values
15.93
15.73
16.19
15.36
15.82
15.84
15.56
16.15
15.79
15.42
16.28
16.51
(b) Determine the sample standard deviation.
s=?
(Round to three decimal places as needed.)
(c) Construct a...

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