Question
In: Statistics and Probability
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.06 liter. Suppose you select a random sample of 25
bottles.
a. What is the probability that the sample mean will be between 0.99 and1.0 liter?
b. What is the probability that the sample mean will be below 0.98 liter?
c. What is the probability that the sample mean will be greater than 1.01 liters?
d. The probability is 90% that the sample mean amount of soft drink will be at least how much?
e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)
Solutions
orchestra answered 1 year agoRelated Solutions
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of
2.0
liters
and a standard deviation of
0.05
liter. Suppose you select a random sample of
25
bottles.
a. What is the probability that the sample mean will be
between
1.99
and
2.0
liters?
b. What is the probability that the sample mean will be
below
1.98
liters?
c. What is the probability that the sample mean will be greater
than
2.01
liters?
d....
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of
2.0 liters and a standard deviation of 0.05 liter. Suppose you
select a random sample of 25 bottles.
a. What is the probability that the sample mean will be between
1.99 and 2.0 liters?
b. What is the probability that the sample mean will be below
1.98 liters?
c. What is the probability that the sample mean will be greater
than 2.01 liters?
d....
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of 2.0 liters and a standard deviation of
0.07 liter. Suppose you select a random sample of 25 bottles.
a. What is the probability that the sample mean will be below
1.98 liters?
b. What is the probability that the sample mean will be greater
than 2.01 liters?
c. The probability is 99% that the sample mean amount of soft
drink will be at least...
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of 2.0 liters and a standard deviation of
0.04 liter. Suppose you select a random sample of 25 bottles.
a. What is the probability that the sample mean will be between
1.99 and 2.0 liters ?
b. What is the probability that the sample mean will be below
1.98 liters ?
c. What is the probability that the sample mean will be greater
than 2.01...
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of 2.0 liters and a standard deviation of
0.08 liter. Suppose you select a random sample of 25 bottles. a.
What is the probability that the sample mean will be between 1.99
and 2.0 liters? b. What is the probability that the sample mean
will be below 1.98 liters? c. What is the probability that the
sample mean will be greater than 2.01 liters? d....
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally
distributed, with a mean of 1.01.0 literliter and a standard
deviation of 0.040.04 liter. Suppose you select a random sample of
2525 bottles. a. What is the probability that the sample mean will
be between 0.990.99 and 1.01.0 literliter? b. What is the
probability that the sample mean will be below 0.980.98
literliter? c. What is the probability that the sample mean will
be greater than 1.011.01 liters? d....
The fill amount in 11-liter soft drink bottles is normally distributed, with a mean of 1.01.0...
The fill amount in 11-liter soft drink bottles is normally
distributed, with a mean of 1.01.0 literliter and a standard
deviation of 0.040.04 liter. If bottles contain less than 9494% of
the listed net content (0.940.94 liters, in this case), the
manufacturer may be subject to penalty by the state office of
consumer affairs. Bottles that have a net content above 1.051.05
liters may cause excess spillage upon opening. In an effort to
reduce the number of bottles that contain...
The fill amount in 2-liter soft drink bottles is normally distributed, with a mean of 2.0...
The fill amount in 2-liter soft drink bottles is normally
distributed, with a mean of 2.0 liters and a standard deviation of
0.05 liter. If bottles contain less than 95% of the listed net
content
(1.90 liters, in this case), the manufacturer may be subject
to penalty by the state office of consumer affairs. Bottles that
have a net
content above 2.10 liters may cause excess spillage upon
opening. What proportion of the bottles will contain
a. between 1.90 and...
A machine used for filling plastic bottles with a soft drink has a target mean fill...
A machine used for filling plastic bottles with a soft drink has
a target mean fill volume of 2.9 liters and a known standard
deviation of 0.05 liter.
State the sampling distribution of the sample mean, if you
obtain a random sample of 25 bottles.
Options-
X bar ~ N(2.9, 0.01)
X ~ N(2.9, 0.01)
X ~ N(2.9, 0.05)
The amount of coffee dispensed by a drink vending machine is normally distributed with a mean...
The amount of coffee dispensed by a drink vending machine is
normally distributed with a mean of 12.1 oz. What is the
probability that a randomly selected cup of coffee has more than
12.8 oz? Assume that the standard deviation for all drink vending
machines is 0.38
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