A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 121 with standard deviation of 21, and themean length of two-year-old spotted flounder is 154 with a standard deviation of 31. The distribution of flounder lengths isapproximately bell-shaped. Answer the following four sections. A fish story: The mean length of one-year-old spotted flounder, In millimeters, Is 121 with standard devlation of 21, and themean length of two-year-old spotted flounder is 154 with a standard deviation of 31. The distribution of flounder lengths isapproximately bell-shaped.Part 1 of 4(a) Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length? Round theanswers to at least two decimal places.Anna's z-score isPart 2 of 4(b) Luis caught a two-year-old flounder that was 190 millimeters In length. What Is the z-score for this length? Round theanswers to at least two decimal places.Luis's z-score isPart 3 of 4(c) Joe caught a one-year-old flounder whose length had a z-score of 1.4. How long was this fish? Round the answer to atleast one decimal place.The length of Joe's fish ismillimeters.Part 4 of 4(d) Terry caught a two-year-old flounder whose length had a z-score of -0.4. How long was this fish? Round the answer toat least one decimal place.The length of Terry's fish ismillimeters.

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Answered: A fish story: The mean length of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 121 with standard deviation of 21, and the mean length of two-year-old spotted flounder is 154 with a standard deviation of 31. The distribution of flounder lengths is approximately bell-shaped. Answer the following four sections.

A fish story: The mean length of one-year-old spotted flounder, In millimeters, Is 121 with standard devlation of 21, and the
mean length of two-year-old spotted flounder is 154 with a standard deviation of 31. The distribution of flounder lengths is
approximately bell-shaped.
Part 1 of 4
(a) Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length? Round the
answers to at least two decimal places.
Anna's z-score is
Part 2 of 4
(b) Luis caught a two-year-old flounder that was 190 millimeters In length. What Is the z-score for this length? Round the
answers to at least two decimal places.
Luis's z-score is
Part 3 of 4
(c) Joe caught a one-year-old flounder whose length had a z-score of 1.4. How long was this fish? Round the answer to at
least one decimal place.
The length of Joe's fish is
millimeters.
Part 4 of 4
(d) Terry caught a two-year-old flounder whose length had a z-score of -0.4. How long was this fish? Round the answer to
at least one decimal place.
The length of Terry's fish is
millimeters.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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