Answered: Freshman 15, revisited In Exercise 6…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

Freshman 15, revisited In Exercise 6 you thought about
how to design a study to see if it’s true that students tend
to gain weight during their first year in college. Well,
Cornell Professor of Nutrition David Levitsky did just
that. He recruited students from two large sections of an

introductory health course. Although they were volun-
teers, they appeared to match the rest of the freshman

class in terms of demographic variables such as sex and
ethnicity. The students were weighed during the first
week of the semester, then again 12 weeks later. Based
on Professor Levitsky’s data, estimate the mean weight
gain in first-semester freshmen and comment on the
“freshman 15.” (Weights are in pounds.)

Subject
Number
Initial
Weight
Terminal
Weight
Subject
Number
Initial
Weight
Terminal
Weight
1 171 168 35 148 150
2 110 111 36 164 165
3 134 136 37 137 138
4 115 119 38 198 201
5 150 155 39 122 124
6 104 106 40 146 146
7 142 148 41 150 151
8 120 124 42 187 192
9 144 148 43 94 96
10 156 154 44 105 105
11 114 114 45 127 130
12 121 123 46 142 144
13 122 126 47 140 143
14 120 115 48 107 107
15 115 118 49 104 105

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions