Question

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 31 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

Answer #1

A large tank of fish from a hatchery is being delivered to a
lake. The hatchery claims that the mean length of fish in the tank
is 15 inches, and the standard deviation is 2 inches. A random
sample of 49 fish is taken from the tank. Let x be the mean sample
length of these fish. What is the probability that x is within 0.5
inch of the claimed population mean? (Round your answer to four
decimal places.)

The length, X X , of a fish from a particular mountain lake in
Idaho is normally distributed with μ=9.6 μ = 9.6 inches and σ=1.4 σ
= 1.4 inches. (a) Is X X a discrete or continuous random
variable?
(b) Write the event ''a fish chosen has a length of less than
6.6 inches'' in terms of X X :
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was...

The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ=7 inches and σ=1.7 inches.
(a) Is X a discrete or continuous random variable? (Type:
DISCRETE or CONTINUOUS)
ANSWER:
(b) Write the event ''a fish chosen has a length equal to 4
inches'' in terms of X: .
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was
greater than 8.5 inches: .
(e) Find the...

(5 pts) The length, X, of a fish from a particular
mountain lake in Idaho is normally distributed with μ=8.3
inches and σ=2 inches.
(a) Is X a
discrete or continuous random variable? (Type: DISCRETE or
CONTINUOUS)
ANSWER:
(b) Write the event
''a fish chosen has a length of less than 5.3 inches'' in terms of
X: .
(c) Find the
probability of this event:
(d) Find the
probability that the length of a chosen fish was greater than 11.3...

The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ= 8.9 and σ=1.6 inches.
(a) Write the event ''a fish chosen has a length of less than
5.9 inches'' in terms of X: ____
(b) Find the probability of this event: ____
(c) Find the probability that the length of a chosen fish was
greater than 11.4 inches: ____
(d) Find the probability that the length of a chosen fish was
between...

15 #8
The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ=8.7 inches and
σ=1.1inches.
(a) Find the probability that the length of a chosen fish was
greater than 9.7 inches: .
(b) Find the probability that the length of a chosen fish was
between 7.7 and 9.7 inches:

15 #5
The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ=9.8 inches and
σ=1.1inches.
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was
greater than 12.8 inches: .
(e) Find the probability that the length of a chosen fish was
between 8.8 and 12.8 inches:

Biologists gather data on a sample of fish in a large lake. They
capture, measure the length of, and release 1,000 fish. They find
that the standard deviation is 5 centimeters, and the mean is 25
centimeters. Fill in the blanks with the empirical model to show
what length of fish we can expect to find. Round your standard
deviation to 2 decimal places before doing your other calculations.
Round your solutions to two decimal places.

Two hundred fish caught in Cayuga Lake had a mean length of 14.8
inches. The population standard deviation is 3.7 inches. (Give your
answer correct to two decimal places.)
(a) Find the 90% confidence interval for the population mean
length.
Lower Limit
Upper Limit
(b) Find the 98% confidence interval for the population mean
length.
Lower Limit
Upper Limit

Two hundred fish caught in Cayuga Lake had a mean length of 14.3
inches. The population standard deviation is 3.8 inches. (Give your
answer correct to two decimal places.)
(a) Find the 90% confidence interval for the population mean
length.
Lower Limit
Upper Limit
(b) Find the 98% confidence interval for the population mean
length.
Lower Limit
Upper Limit

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