Answered: Great white sharks are big and hungry.…

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

Great white sharks are big and hungry. Here are the lengths in feet of 44 great whites.

18.9
16.2
13.2
19.1

12.5
16.7
15.7
16.2

18.5
17.9
14.4
22.9

16.3
16.4
16.8
17.0

15.5
12.4
9.3
13.4

18.2
17.7
18.1
13.4

14.7
13.7
13.0
15.9

15.9
12.3
13.7
19.5

15.1
15.3
15.4
18.9

17.6
14.7
16.0
13.0

12.0
12.4
13.4
16.9

Examine these data for shape, center, spread and outliers. The normal quantile plot indicates the distribution is reasonably Normal except for one outlier in each direction. Because these are not extreme and preserve the symmetry of the distribution, use of the t procedures is safe with 44 observations.

(a) Find the sample mean and sample standard deviation.

x	= ft (Round to 2 decimal places.)
s	= ft (Round to 3 decimal places.)

(b) The standard error of sample mean is
SE(x) = ft. (Round to 3 decimal places.)

(c) Use these data to give a 95% confidence interval for the mean length of all great white sharks.
to ft (Round to 2 decimal places.)

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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