Question
In: Statistics and Probability
he amount of pressure created from a air compressor spray is normally distributed with a mean...
he amount of pressure created from a air compressor spray is normally distributed with a mean of 10,000 pounds per square inch (PSI) and standard deviation of 800 PSI.
(1) For a random sample of n=4 sprays, what is the probability
that the sample mean will be at least 10,200 PSI?
(2) For a random sample of n=4 sprays, what is the probability that
the sample mean will be less than 9,900 PSI?
Solutions
Expert Solution
Solution: It is given that the amount of pressure created from an air compressor spray is normally distributed with a mean of 10,000 pounds per square inch (PSI) and standard deviation of 800 (PSI). Therefore, we have:
(1) For a random sample of n=4 sprays, what is the probability that the sample mean will be at least 10,200 PSI?
Answer: We are required to find:
Now using the z-score formula, we have:
Now using the standard normal table, we have:
Therefore, the probability that the sample mean will be at least 10,200 PSI is 0.3085
(2) For a random sample of n=4 sprays, what is the probability that the sample mean will be less than 9,900 PSI?
Answer: We are required to find:
Now using the z-score formula, we have:
Now using the standard normal table, we have:
Therefore, the probability that the sample mean will be less than 9,900 PSI is 0.4013
orchestra answered 1 year agoRelated Solutions
The pressure of a pressure washer is normally distributed with a mean of 2510 psi and...
The pressure of a pressure washer is normally distributed with a
mean of 2510 psi and a standard deviation of 90 psi.
a) If all washers with pressure less than 2400 or greater than
2600 psi are considered defective, find the probability that a
randomly selected washer is defective.
b) Determine the value of x, so that 99% of all washers have
pressure within 2510 +/- x psi.
Assume that the amount of cornflakes in a box is normally distributed with a mean of...
Assume that the amount of cornflakes in a box is normally
distributed with a mean of 16 oz. and a standard deviation of 0.1
oz.
a) Determine the percent of boxes that will contain between
15.83 oz. and 16.32 oz. of cornflakes?
b) Determine the percent of boxes that will contain more than
16.16 oz. of cornflakes.
c) If the manufacturer produces 300,000 boxes, how many of them
will contain less than 15.83 oz. of cornflakes?
d) If the manufacturer...
A compressor, operating at steady-state, increases the pressure of an air stream from 1 bar to...
A compressor, operating at steady-state, increases the pressure
of an air stream from 1 bar to 10 bar while losing 4.2 kW of heat
to the surroundings. At the compressor inlet, the air is at 25o C
and has a velocity of 14 m/s. At the compressor outlet, the air is
at 350o C and has a velocity of 2.4 m/s. If the compressor inlet
has a cross-sectional area of 500 cm2 and the air behaves as an
ideal gas,...
A compressor, operating at steady-state, increases the pressure of an air stream from 1 bar to...
A compressor, operating at steady-state, increases the pressure
of an air stream from 1 bar to 10 bar while losing 4.2 kW of heat
to the surroundings. At the compressor inlet, the air is at 25o C
and has a velocity of 14 m/s. At the compressor outlet, the air is
at 350o C and has a velocity of 2.4 m/s. If the compressor inlet
has a cross-sectional area of 500 cm2 and the air behaves as an
ideal gas,...
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....
Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean...
Suppose that the amount of sugar in a can of Pepsi is normally
distributed with mean μ = 55 g
and standard deviation σ = 1.5 g. What is the probability
that
d. What is the amount of sugar such that we can know that 97.5%
of the cans will have less than that
amount of sugar?
e. Suppose that at the plant we randomly sample 25 cans. What is
the probability that their average
amount of sugar is more...
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...
Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean...
Suppose that the amount of sugar in a can of Pepsi is normally
distributed with mean μ = 55 g
and standard deviation σ = 1.5 g. What is the probability
that
a. the amount of sugar in the can is more than 56 grams?
b. the amount of sugar in the can is less than 53 grams?
c. the amount of sugar in the can is more than 2 standard
deviations away from the mean?
The amount of water in a bottle is approximately normally distributed with a mean of 2.85...
The amount of water in a bottle is approximately normally
distributed with a mean of 2.85 litres with a standard deviation of
0.035-liter.
b. If a sample of 4 bottles is selected, the probability that
the sample mean amount contained is less than 2.82 litres is
0.043.
c. If a sample of 25 bottles is selected, the probability that
the sample mean amount contained is less than 2.82 litres is
0.
Explain the difference in the results of (b) and...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- The Sunbelt Corporation has $44 million of bonds outstanding that were issued at a coupon rate...
- in java Write an interface for a CD player. It should have the standard operations (i.e....
- A 2.9 kg block with a speed of 3.6 m/s collides with a 5.8 kg block...
- Consider the following data. S 27.8 X 25 r 0.02 T 0.5 sigma 0.17 Calculate the...
- Imagine receiving job offers from three great employers: Traditional ? FBI, Participative ? Southwest Airlines, Individualistic...
- Determine whether the value is a discrete random variable, continuous random variable, or not a random...
- what effect would DNP have on ATP production? if added to culture media, which of the...
ADVERTISEMENT