Question

A large tank of fish from a hatchery is being delivered to a lake. The hatchery...

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.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A large tank of fish from a hatchery is being delivered to a lake. The hatchery...
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...
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...
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...
(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...
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...
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...
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...
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.
QUESTION 6 Let x be a random variable representing the length of a cutthroat trout in...
QUESTION 6 Let x be a random variable representing the length of a cutthroat trout in Pyramid lake. A friend claims that the average length of trout caught in this lake is 19 inches. To test this claim we find that a sample of 13 trout has a mean length of 18.1 inches with a sample standard deviation of 3.3 inches. The population standard deviation is unknown.  If you assume that the population mean is 19, find the P-value corresponding to...
According to a study, the random variable, at least X, expressing the length of the fish...
According to a study, the random variable, at least X, expressing the length of the fish endemic to a lake follows a normal distribution with mean µ = 20cm and standard deviation σ = 4cm. a) A fish is fishing by the lake. What is the probability that its length is greater than 18cm but does not exceed 24cm? b) Determine a symmetric mean of the X interval whose lengths are 95% of the lake's fish. c) Angling 4 fish...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT