Answered: A researcher wants to determine whether…

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 researcher wants to determine whether adolescents spend more time in a day around friends than adults do. He gathers a sample of n =10 adolescents (aged 12-17) and a sample of n =6 adults (aged 25-32). The researcher finds that the average time spent around friends for adolescents is M1= 3 hours with a SS1 of 44. He also finds that the average time spent around friends for adults is M2= 2 hours with a SS2 of 40.

a. Do you use a one- or two-tailed test? What is the critical/cut-off t value with an alpha level of α = .01?

b. What is the variance?

c. What is the estimated standard error?

d. What is the value of the t statistic?

e. Do we reject or fail to reject the null hypothesis (α = .01)? Why?

f. Calculate and report the variance explained ( r²)

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