INTRODUCTION TO STATISTICS & DATA ANALYS

6th Edition

ISBN: 9780357420447

Author: PECK

Publisher: CENGAGE L

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Chapter 11.2, Problem 28E

The paper referenced in the previous exercise also compared the reported heights and weights to actual measured heights and weights for a sample of 1052 female college students selected from eight different universities. The resulting data are summarized in the accompanying table. You can assume that this sample is representative of female college students.

Chapter 11.2, Problem 28E, The paper referenced in the previous exercise also compared the reported heights and weights to

a. Carry out a hypothesis test to determine if there is a significance difference in the mean reported weight and the mean actual weight for female college students.
b. Carry out a hypothesis test to determine if there is a significance difference in the mean reported height and the mean actual height for female college students.
c. Do the conclusions reached in the hypothesis tests of Parts (a) and (b) support the conclusion that female college students tend to under-report both height and weight? Explain.

11.27 The authors of the paper “Concordance of Self-Report and Measured Height and Weight of College Students” (Journal of Nutrition, Education and Behavior [2015]: 94–98) used a paired-samples t test to reach the conclusion that male college students tend to over-report both weight and height. This conclusion was based on a sample of 634 male college students selected from eight different universities. The sample mean difference between the reported weight and actual measured weight was 1.2 pounds and the standard deviation of the differences was 5.71 pounds. You can assume that the sample was representative of male college students.

a. Carry out a hypothesis test to determine if there is a significance difference in the mean reported weight and the mean actual weight for male college students.
b. For height, the mean difference between the reported height and actual measured height was 0.6 inches and the standard deviation of the differences was 0.8 inches. Carry out a hypothesis test to determine if there is a significance difference in the mean reported height and the mean actual height for male college students.
c. Do the conclusions reached in the hypothesis tests of Parts (a) and (b) support the given conclusion that male college students tend to over-report both height and weight? Explain.

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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Chapter 11.2, Problem 27E

Chapter 11.2, Problem 29E

Chapter 11 Solutions

INTRODUCTION TO STATISTICS & DATA ANALYS

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Solution Summary: The author analyzes whether there is significant difference in mean reported and mean actual weight for female college students.

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Chapter 11 Solutions