A consumer psychologist who wanted to know if customers really are influenced to buy more by sales clerks who smile more gave special instructions to clerks at eight stores in a large Canadian clothing chain at the start of a week and recorded sales for the week.Clerks in four of the randomly selected stores received instructions to be especially courteous and to be sure to smile a lot.Clerks at four other stores were simply instructed to be especially courteous.Sales (in thousands of dollars)for the four stores in the Smile condition were 36,40,36,and 44; sales for the four stores in the control condition were 40,31,27,and 30.Using the .05 significance level,do customers buy more from smiling sales clerks?
a.Use the five steps of hypothesis testing.
b.Sketch the distributions involved.
c.Figure the effect size.
d.Explain the logic of what you did to a person who is familiar with the t test for a single sample,but who is unfamiliar with the t test for independent means.Be sure you explain how this problem differs from a t test for a single sample.Your answer should consist mainly of a thorough explanation of the characteristics of the comparison distribution and the logic of all the steps of figuring you did to determine those characteristics.
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