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Name: A researcher used a sample of n =16 adults between the ages of 40 and
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Description: A researcher used a sample of n =16 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the ratings obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as

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 used a sample of n =16 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the ratings obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as funnier when the participants were smiling, with an average difference of M_D= 1.6, with SS = 135.

Are the cartoons rated as significantly funnier when the participants are smiling ? Use a one-tailed test with α = .05.

a. The null hypothesis in words is:

b. The alternative hypothesis in symbols is:

c. The critical t-value is

d. The t-statistic is

e. Your decision is

f. Compute r²to measure the size of the treatment effect. r² is

g. Report the results in APA. Include r² as a measure of the effect size.

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