The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.5 inches and a standard deviation of 1.8 inches. An Atlantic croaker fish is randomly selected. Determine the following. Remember to make a sketch! a) You want to determine the proportion of the croaker fish population that is longer than 14 inches. What z-score should you use? Please round your answer to 2 decimal places. b) What proportion of the croaker fish population is longer than 14 inches? Give you answer to 4 decimal places, using the z-score from (a). You select a fish at random from the population. What is the probability it is tween 8 and 14 inches? Give your answer to 4 decimal places. A
The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.5 inches and a standard deviation of 1.8 inches. An Atlantic croaker fish is randomly selected. Determine the following. Remember to make a sketch! a) You want to determine the proportion of the croaker fish population that is longer than 14 inches. What z-score should you use? Please round your answer to 2 decimal places. b) What proportion of the croaker fish population is longer than 14 inches? Give you answer to 4 decimal places, using the z-score from (a). You select a fish at random from the population. What is the probability it is tween 8 and 14 inches? Give your answer to 4 decimal places. A
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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![### Statistical Analysis of Atlantic Croaker Fish Lengths
The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.5 inches and a standard deviation of 1.8 inches. An Atlantic croaker fish is randomly selected. Determine the following. Remember to make a sketch!
#### a) Determining the Z-score
You want to determine the proportion of the croaker fish population that is longer than 14 inches. What z-score should you use? Please round your answer to 2 decimal places.
[Input space for answer]
#### b) Proportion of Fish Longer than 14 Inches
What proportion of the croaker fish population is longer than 14 inches? Give your answer to 4 decimal places, using the z-score from (a).
[Input space for answer]
#### c) Probability of Fish Length Between 8 and 14 Inches
You select a fish at random from the population. What is the probability it is between 8 and 14 inches? Give your answer to 4 decimal places.
[Input space for answer]
### Note
Please ensure you use the normal distribution curve to visualize and calculate your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b02ee06-d3da-434d-a278-c5c4499b77b7%2F19162a79-fa10-42e1-aac1-7346bbc53b84%2F3pgfri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis of Atlantic Croaker Fish Lengths
The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.5 inches and a standard deviation of 1.8 inches. An Atlantic croaker fish is randomly selected. Determine the following. Remember to make a sketch!
#### a) Determining the Z-score
You want to determine the proportion of the croaker fish population that is longer than 14 inches. What z-score should you use? Please round your answer to 2 decimal places.
[Input space for answer]
#### b) Proportion of Fish Longer than 14 Inches
What proportion of the croaker fish population is longer than 14 inches? Give your answer to 4 decimal places, using the z-score from (a).
[Input space for answer]
#### c) Probability of Fish Length Between 8 and 14 Inches
You select a fish at random from the population. What is the probability it is between 8 and 14 inches? Give your answer to 4 decimal places.
[Input space for answer]
### Note
Please ensure you use the normal distribution curve to visualize and calculate your answers.
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