Question

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?

Answer #1

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?

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...

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?

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...

Suppose that the antenna lengths of woodlice are approximately
normally distributed with a mean of 0.2 inches and a standard
deviation of 0.05 inches. What proportion of woodlice have antenna
lengths that are at most 0.23 inches? Round your answer to at least
four decimal places.

The lengths of steel rods produced by a shearing process are
normally distributed. A random sample of 10 rods is selected; the
sample mean length is 119.05 inches; and the sample standard
deviation is 0.10 inch. The 90% confidence interval for the
population mean rod length is __________.
Select one:
A. 118.99 to 119.11
B. 118.57 to 119.23
C. 119.00 to 119.30
D. 118.89 to 119.51

The diameter of a brand of tennis balls is approximately
normally distributed, with a mean of 2.73 inches and a standard
deviation of 0.03 inch. A random sample of 12 tennis balls is
selected. Complete parts (a) through (d) below
What is the probability that the sample mean is between 2.72 and
2.74 inches?
The probability is 71% that the sample mean will be between
what two values symmetrically distributed around the population
mean?

The diameter of a brand of tennis balls is approximately
normally distributed, with a mean of 2.57 inches and a standard
deviation of 0.05 inch. A random sample of 10 tennis balls is
selected.
What is the probability that the sample mean is less than 2.56
inches?= 0.2643
What is the probability that the sample mean is between 2.55 and
2.58 inches?= 0.6319
The probability is 65% that the sample mean will be between what
two values symmetrically distributed around...

The diameter of a brand of tennis balls is approximately
normally distributed, with a mean of 2.73 inches and a standard
deviation of 0.03 inch. A random sample of 12 tennis balls is
selected. Complete parts (a) through (d) below
The probability is 69% that the sample mean will be between what
two values symmetrically distributed around the population
mean?
The lower bound is inches. The upper bound is inches

Suppose that the antenna lengths of woodlice are approximately
normally distributed with a mean of 0.25 inches and a standard
deviation of 0.05 inches. What proportion of woodlice have antenna
lengths that are at least 0.18 inches? Round your answer to at
least four decimal places.

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