A sheriff's department claims that it pays its male and female employees equal wages. You analyze the wages they actually paid the deputies, and you find that the average hourly wage for males was $13.50 and for females it was $12.30. You conduct a t-test for this difference and get a t(obtained) of 1.31. (Hint: you will be using the two-sample hypothesis test) a. State the appropriate null and research hypotheses. b. If you had an alpha of .05 (one-tailed) with 60 degrees of freedom, what would be your t(critical)? c. Pretend you have a t(critical) of +2.000. Pretend you also calculated a t(obtained) of +1.31, write out a full interpretation based on the problem description above.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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A sheriff's department claims that it pays its male and female employees equal wages. You analyze the
wages they actually paid the deputies, and you find that the average hourly wage for males was $13.50 and
for females it was $12.30. You conduct a t-test for this difference and get a t(obtained) of 1.31. (Hint: you
will be using the two-sample hypothesis test)
a. State the appropriate null and research hypotheses.
b. If you had an alpha of .05 (one-tailed) with 60 degrees of freedom, what would be
your t(critical)?
c. Pretend you have a t(critical) of +2.000. Pretend you also calculated a t(obtained)
of +1.31, write out a full interpretation based on the problem description above.
Transcribed Image Text:A sheriff's department claims that it pays its male and female employees equal wages. You analyze the wages they actually paid the deputies, and you find that the average hourly wage for males was $13.50 and for females it was $12.30. You conduct a t-test for this difference and get a t(obtained) of 1.31. (Hint: you will be using the two-sample hypothesis test) a. State the appropriate null and research hypotheses. b. If you had an alpha of .05 (one-tailed) with 60 degrees of freedom, what would be your t(critical)? c. Pretend you have a t(critical) of +2.000. Pretend you also calculated a t(obtained) of +1.31, write out a full interpretation based on the problem description above.
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