Toddlers tend to have an abundance of energy. To put that energy to good use a fitness instructor creates a Toddler Fitness class. In this class the participants have to do everything the fitness instructor’s energetic toddler daughter does. To compare the number of calories burned in Toddler Fitness versus the standard fitness class 40 volunteers are recruited. The volunteers are assigned at random to participate in Toddler Fitness or the standard fitness class. Each participant wears a calorie counting fitness watch. At the end of the class the calories burned by each participant is recorded and the average number of calories burned is calculated for each class. After the classes ended, the instructor learned that the mean number of calories burned by the participants in Toddler Fitness was significantly greater than the mean number of calories burned by the participants in the standard fitness class. Which of the following is the most appropriate conclusion? (A) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion can be generalized to all adults that workout. (B) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion can be generalized to all students of this fitness instructor. (C) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion cannot be generalized beyond those in the study. (D) Cause-and-effect cannot be established, but there is an association between the type of exercise class taken and the number of calories burned in the population of all adults that workout. (E) Cause-and-effect cannot be established, but there is an association between the type of exercise class taken and the number of calories burned in the population of all students of this fitness instructor.

Toddlers tend to have an abundance of energy. To put that energy to good use a fitness instructor creates a Toddler Fitness class. In this class the participants have to do everything the fitness instructor’s energetic toddler daughter does. To compare the number of calories burned in Toddler Fitness versus the standard fitness class 40 volunteers are recruited. The volunteers are assigned at random to participate in Toddler Fitness or the standard fitness class. Each participant wears a calorie counting fitness watch. At the end of the class the calories burned by each participant is recorded and the average number of calories burned is calculated for each class. After the classes ended, the instructor learned that the mean number of calories burned by the participants in Toddler Fitness was significantly greater than the mean number of calories burned by the participants in the standard fitness class. Which of the following is the most appropriate conclusion? (A) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion can be generalized to all adults that workout. (B) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion can be generalized to all students of this fitness instructor. (C) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion cannot be generalized beyond those in the study. (D) Cause-and-effect cannot be established, but there is an association between the type of exercise class taken and the number of calories burned in the population of all adults that workout. (E) Cause-and-effect cannot be established, but there is an association between the type of exercise class taken and the number of calories burned in the population of all students of this fitness instructor.

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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To compare the number of calories burned in Toddler Fitness versus the standard fitness class 40 volunteers are recruited. The volunteers are assigned at random to participate in Toddler Fitness or the standard fitness class. Each participant wears a calorie counting fitness watch. At the end of the class the calories burned by each participant is recorded and the average number of calories burned is calculated for each class.

After the classes ended, the instructor learned that the mean number of calories burned by the participants in Toddler Fitness was significantly greater than the mean number of calories burned by the participants in the standard fitness class.

Which of the following is the most appropriate conclusion?

(A) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion can be generalized to all adults that workout.
(B) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion can be generalized to all students of this fitness instructor.
(C) There is convincing evidence that Toddler Fitness caused the participants to burn more calories than the standard fitness class, and the conclusion cannot be generalized beyond those in the study.
(D) Cause-and-effect cannot be established, but there is an association between the type of exercise class taken and the number of calories burned in the population of all adults that workout.
(E) Cause-and-effect cannot be established, but there is an association between the type of exercise class taken and the number of calories burned in the population of all students of this fitness instructor.

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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