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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Need asap thank you
### 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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman