Big Town Fisheries recently stocked a new lake in a city park with fish of various sizes. The distribution of the lengths of these fish is approximately normal with a mean of 8 inches and a standard deviation of 2 inches. Blank #1: Find the probability that an individual fish has a length that is greater than 10 inches. Report your answer with four decimal places. It is recommended that you draw, label and shade the distribution of the individuals to aid with your work. Blank #2: Find the probability that the mean of a random sample of 25 fish has a length that is greater than 10 inches. By Central Limit Theorem, the sample means are normal with mean 8 inches and standard deviation 2/5 or 0.4. Report your answer with four decimal places. It is recommended that you draw, label and shade the distribution of the means to aid with your work. Blank #3: Suppose the distribution of fish lengths in this lake was non-normal but had the same mean and standard deviation. Of the two probabilities you computed in blanks 1 & 2, which ones would you still be able to compute? Enter your answer as 1 or 2 or both or none. Blank # 1 Blank # 2 Blank # 3

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Big Town Fisheries recently stocked a new lake in a city park with fish of various
sizes. The distribution of the lengths of these fish is approximately normal with a
mean of 8 inches and a standard deviation of 2 inches.
Blank #1: Find the probability that an individual fish has a length that is greater than
10 inches. Report your answer with four decimal places. It is recommended that you
draw, label and shade the distribution of the individuals to aid with your work.
Blank #2: Find the probability that the mean of a random sample of 25 fish has a
length that is greater than 10 inches. By Central Limit Theorem, the sample means
are normal with mean 8 inches and standard deviation 2/5 or 0.4. Report your
answer with four decimal places. It is recommended that you draw, label and shade
the distribution of the means to aid with your work.
Blank #3: Suppose the distribution of fish lengths in this lake was non-normal but
had the same mean and standard deviation. Of the two probabilities you computed
in blanks 1 & 2, which ones would you still be able to compute? Enter your answer
as 1 or 2 or both or none.
Blank # 1
Blank # 2
Blank # 3
Transcribed Image Text:Big Town Fisheries recently stocked a new lake in a city park with fish of various sizes. The distribution of the lengths of these fish is approximately normal with a mean of 8 inches and a standard deviation of 2 inches. Blank #1: Find the probability that an individual fish has a length that is greater than 10 inches. Report your answer with four decimal places. It is recommended that you draw, label and shade the distribution of the individuals to aid with your work. Blank #2: Find the probability that the mean of a random sample of 25 fish has a length that is greater than 10 inches. By Central Limit Theorem, the sample means are normal with mean 8 inches and standard deviation 2/5 or 0.4. Report your answer with four decimal places. It is recommended that you draw, label and shade the distribution of the means to aid with your work. Blank #3: Suppose the distribution of fish lengths in this lake was non-normal but had the same mean and standard deviation. Of the two probabilities you computed in blanks 1 & 2, which ones would you still be able to compute? Enter your answer as 1 or 2 or both or none. Blank # 1 Blank # 2 Blank # 3
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