Question

A large fish tank

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 3 inches. A random sample of 56 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.)

0 0
Add a comment Improve this question Transcribed image text
Request Professional Answer

Request Answer!

We need at least 10 more requests to produce the answer.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the answer will be notified once they are available.
Know the answer?
Add Answer to:
A large fish tank
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help 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 7 inches. A random sample of 53 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.)

  • 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 4inches. A random sample of 39 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.)

  • 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 dams that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 46 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.) Need Help?...

  • 4. Assume that x has a normal distribution with u = 2.8 and o = 0.33....

    4. Assume that x has a normal distribution with u = 2.8 and o = 0.33. Find Plx 22). A. 0.9922 B. 0.6485 C. 0.4523 D. 0.0078 Suppose x has a distribution with u = 54 and o = 4. If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? A. Yes, the x distribution is normal with mean Hz = 54 and 0 = 1. B. Yes, the...

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

    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 5 inches. A random sample of 40 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.)...

  • 3. A large pet store that specializes in tropical fish has several thousand guppies. The store...

    3. A large pet store that specializes in tropical fish has several thousand guppies. The store claims that the guppies have a mean length of 5 cm and a standard deviation of 0.5 cm. You come to the store and buy 10 randomly-selected guppies and find that the mean length of your 10 guppies is 4.8 cm. This makes you suspect that the mean fish length is not what the store says it is. To explore this further, you assume...

  • The lengths of the trout fry in a pond at the fish hatchery are approxiametly normally...

    The lengths of the trout fry in a pond at the fish hatchery are approxiametly normally distributed with mean 3.4 inches and standard deviation .8 inch. Three dozen fry will be netted and their lengths measured. what is the standard deviation that we would need to use for a sample of 36 fish? b) Why might the fish in the net not represent a random sample of trout fry in the pond?

  • 3. A large pet store that specializes in tropical fish has several thousand guppies. The store...

    3. A large pet store that specializes in tropical fish has several thousand guppies. The store claims that the guppies have a mean length of 5 cm and a standard deviation of 0.5 cm. You come to the store and buy 10 randomly-selected guppies and find that the mean length of your 10 guppies is 4.8 cm. This makes you suspect that the mean fish length is not what the store says it is. To explore this further, you assume...

  • A) The length of trout in a lake follows a normal distribution with mean length of...

    A) The length of trout in a lake follows a normal distribution with mean length of 16 inches and standard deviation of 1.5 inches. What is the probability that the length of a single fish is between 13 and 19 inches? B) What is the probability that this or a more extreme sample mean can be drawn from this population? C) Your friend claims that he caught 36 trout from this lake and their average length was 18 inches. Do...

  • Suppose you work for the Department of Natural Resources and you want to estimate, with 95%...

    Suppose you work for the Department of Natural Resources and you want to estimate, with 95% confidence, the mean length of recently hatched fish in a fish hatchery pond. You take a random sample of 10 fish and determine that the sample mean length is 7.5 inches and the sample standard deviation is 0.83 inches. (Assume that fish length is normally distributed in this population.) (a) Construct a 95% confidence interval for the mean length of recently hatched fish at...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT