Answered: A male college student claimed that…

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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A male college student claimed that college men spend more time working out than college women. A group of 100 college men and 100 college women completed a survey that asked the question” How many hours do you typically spend working out per week?”. From the samples, the mean and standard deviation in hours spent working out per week is displayed in the table for each gender.

ROUND THE VALUES IN THE TABLE TO THE TENTHS PLACE.

a) Is there statistical evidence that the male college students claim is accurate? Perform a hypothesis test.

b) Create a 90% confidence interval.

c) Make a connection between your interval and your conclusion in your hypothesis test.

d) Would your decision change if you were asked to create a 95% confidence interval? Explain.

Statistics
Values
Sample mean for men
8.086115256296889
Sample SD for men
2.8320053888037595
Sample mean for women
7.785484396700922
Sample SD for women
2.659730003681303

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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