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Assignment Part 1: T Test Using Formula: A researcher is interested in whether union workers earned significantly higher wages than nonunion workers. She interviewed 12

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Assignment Part 1: T Test Using Formula:

A researcher is interested in whether union workers earned significantly higher wages than nonunion workers. She interviewed 12 union workers and 15 nonunion workers. Their hourly wages are shown below (X1 = hourly wages of union workers, X2 = hourly wages of nonunion workers). Test if the research hypothesis Ha (Union works earned significantly higher wages than nonunion workers) is true.

  1. Fill out the table: F(X1), F(X1), F(X2), F(X2), SF(X1), SF(X1) ,SF(X2), andSF(X2) . (10 points)

Union WorkersNonunion Workers

X1

(hourly wages $)

F

(N of workers)

F(X1)F(X1)

X2

(hourly wages $)

F

(N of workers)

F(X2)F(X2)
141102
152112
163123
173133
182143
191152

N = 12

SF(X1)=

SF(X1) =

N = 15

SF(X2)=

SF(X2) =

  1. Find the means (show your work):
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