The size of fish is very important tocommercial fishing. A study collected the lengths of Atlantic cod (in cm) caught in netsin Kariskrona. Data based on information from the study is in the table below.Determine if the data are from a population that is normally distributed.Data:31, 44, 45, 45, 46, 48, 48, 48, 48, 49, 50, 50, 50, 51, 52, 53, 53, 54, 60, 67 Normal Quantile-1.571.180.780.39Normal Probability PlotNormal Quantile32.4 36 39.643.240850.4 54 57.661.264.868.4-0.39-0.78-1.18157Atlantic Cod Lengths (in cm)-1.57-1.180.780.39●O-0.78-1.18157Normal Probability PlotOoAtlantic Cod Lengths (in cm)Normal Quantile-1.57-1.180.780.39●324 36 39.643.246 50.4 54 57.661.264.868.41.571.18-0.780.39Normal Probability Plot0.781.18157●Atlantic Cod Lengths (in cm)●32.4 36 39.643.24850.4 54 57.661.264.868.4 32.4 36 39.643.246 50.4 54 57.661.264.868.4-0.398-0.78-1.18-1.57FO•dla O30 35 40 45 50 55Atlantic Cod Lengths (in cm)OO+30O30O30353544 47 49.5 52.5354744 4650.5 5340455055Atlantic Cod Lengths (in cm)44 46H50 536040455055Atlantic Cod Lengths (in cm)O496052.540455055Atlantic Cod Lengths (in cm)65606060606060O70Q6565650

Answered: The size of fish is very important to…

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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Question

The size of fish is very important to commercial fishing. A study collected the lengths of Atlantic cod (in cm) caught in nets in Kariskrona. Data based on information from the study is in the table below. Determine if the data are from a population that is normally distributed. Data: 31, 44, 45, 45, 46, 48, 48, 48, 48, 49, 50, 50, 50, 51, 52, 53, 53, 54, 60, 67

Normal Quantile
-1.57
1.18
0.78
0.39
Normal Probability Plot
Normal Quantile
32.4 36 39.643.240850.4 54 57.661.264.868.4
-0.39
-0.78
-1.18
157
Atlantic Cod Lengths (in cm)
-1.57
-1.18
0.78
0.39
●
O
-0.78
-1.18
157
Normal Probability Plot
O
o
Atlantic Cod Lengths (in cm)
Normal Quantile
-1.57
-1.18
0.78
0.39
●
324 36 39.643.246 50.4 54 57.661.264.868.4
1.57
1.18
-0.78
0.39
Normal Probability Plot
0.78
1.18
157
●
Atlantic Cod Lengths (in cm)
●
32.4 36 39.643.24850.4 54 57.661.264.868.4 32.4 36 39.643.246 50.4 54 57.661.264.868.4
-0.39
8
-0.78
-1.18
-1.57
FO
•
d
la

O
30 35 40 45 50 55
Atlantic Cod Lengths (in cm)
O
O
+
30
O
30
O
30
35
35
44 47 49.5 52.5
35
47
44 46
50.5 53
40
45
50
55
Atlantic Cod Lengths (in cm)
44 46
H
50 53
60
40
45
50
55
Atlantic Cod Lengths (in cm)
O
49
60
52.5
40
45
50
55
Atlantic Cod Lengths (in cm)
65
60
60
60
60
60
60
O
70
Q
65
65
65
0

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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