Answered: You are performing a study about weekly…

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

You are performing a study about weekly per capita milk consumption. A previous study found weekly per capita milk consumption to be normally distributed, with a mean of

44.544.5

fluid ounces and a standard deviation of

10.810.8

fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below.

37
53
31
34
40
47
31
62
37
47
39
25
35
54
41
39
39
48
48
47
34
28
21
40
57
41
46
43
54
36

Draw a frequency histogram to display these data. Use seven classes. Choose the correct answer below.

Do the consumptions appear to be normally distributed? Explain. Choose the correct answer below.

Find the mean of your sample

The standard deviation is

Compare the mean and standard deviation of your sample with those of the previous study. Discuss the differences.

The sample mean is

▼

greater

less

than the previous mean, so, on average, consumption from the

sample is

▼

greater

less

than in the previous study. The sample standard deviation is

▼

greater

less

than the previous standard deviation by

enter your response here,

so the milk consumption is

▼

less

spread out in the sample.

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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