A researcher wishes to test the idea that shoe size and mathematical ability are correlated;,that is, people with larger feet have higher mathematical skills. To test this he conducts astudy of an entire town of 2000 persons measuring their shoe size and administering a mathtest. He finds that there is a significant correlation between shoe size and math skills withpeople with larger feet having higher math skills.(a) What might an important problem with this approach?)(b) The researcher decides to use data only for adults ages 21 to 60 to compute acorrelation coefficient. What value of r should he expect?

The problem is the "entire town." This includes infants, children, as well as adults. Clearly small…

Answered: À researcher wishes to test the idea…

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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Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of α=0.05. Correlation Results Correlation coeff, r: 0.963947 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H0: ρ is: = 0 H1: ρ is: ≠ 0 Given all the information provided: Identify the correlation coefficient, r. r= _____ (round to three decimal places)
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of a = 0.05 Question: Determine the null and alternative hypotheses
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