Question

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches. A sample of 36 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 29.82 and 30.27 inches long?

Answer #1

Suppose that the population of lengths of aluminum-coated steel
sheets is approximately normally distributed with a mean of 30.5
inches and a standard deviation of 0.2 inch. What is the
probability that a sheet selected at random from the population is
between 30.25 and 30.75 inches long?

1) The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30.05 inches and a standard
deviation of 0.2 inches.
a) What is the probability that a
sheet selected at random will be less than 29.75 inches long?
2) The weight of a product is
normally distributed with a mean of four ounces and a variance of
.25 ounces.
a) What is the probability that a
randomly selected unit from a recently manufactured batch weighs...

1) A company produces steel rods. The lengths of the steel rods
are normally distributed with a mean of 183.4-cm and a standard
deviation of 1.3-cm.
Find the probability that the length of a randomly selected steel
rod is between 179.9-cm and 180.3-cm.
P(179.9<x<180.3)=P(179.9<x<180.3)=
2) A manufacturer knows that their items have a normally
distributed length, with a mean of 6.3 inches, and standard
deviation of 0.6 inches.
If 9 items are chosen at random, what is the probability that...

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 255.9 cm and a standard
deviation of 0.9 cm. For shipment, 23 steel rods are bundled
together.
Note: Even though our sample size is less than 30, we can use
the z score because
1) The population is normally distributed and
2) We know the population standard deviation, sigma.
Find the probability that the average length of a randomly selected
bundle of...

A: Given that the length an athlete throws a hammer is a normal
random variable with mean 50 feet and standard deviation 5 feet,
what is the probability he throws it between 50 feet and 60
feet?
B: The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30 inches and a standard
deviation of 0.5 inches. What is the probability that a sheet
selected at random will be less than 29 inches long?

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 98.8 cm and a standard
deviation of 2.5 cm. For shipment, 22 steel rods are bundled
together.
Note: Even though our sample size is less than 30, we can use
the z score because
1) The population is normally distributed and
2) We know the population standard deviation, sigma.
Find the probability that the average length of a randomly selected
bundle of...

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 91.1-cm and a standard
deviation of 0.5-cm. For shipment, 25 steel rods are bundled
together.
Find the probability that the average length of a randomly selected
bundle of steel rods is greater than 90.8-cm.
P(M > 90.8-cm) =

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 226.6-cm and a standard
deviation of 1.7-cm. For shipment, 10 steel rods are bundled
together. Find the probability that the average length of a
randomly selected bundle of steel rods is less than 227.9-cm. P(M
< 227.9-cm) =

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 211.4-cm and a standard
deviation of 1.3-cm. For shipment, 5 steel rods are bundled
together.
Find the probability that the average length of a randomly selected
bundle of steel rods is greater than 211.5-cm.
P(M > 211.5-cm) =

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 129.2-cm and a standard
deviation of 0.5-cm. For shipment, 27 steel rods are bundled
together. Find the probability that the average length of a
randomly selected bundle of steel rods is greater than 129.3-cm.
P(M > 129.3-cm) = __________

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