Let’s say we believe that desk-officers and patrol-officers spend different get

Question

Let’s say we believe that desk-officers and patrol-officers spend different get differing numbers of overtime hours because of their different assignments. We take a small sample of each group to determine if they are truly different. Conduct a two mean hypothesis test to ascertain whether there is a difference between desk-officers and patrol-officers regarding overtime. Use a significance level of = 0.01 and the information below.

Desk Officers

Patrol Officers

n = 4

n = 7

s1 = 2.9

s2 = 2.0

What is the degrees of freedom for this test?

6

9

11

8

Desk Officers

Patrol Officers

n = 4

n = 7

s1 = 2.9

s2 = 2.0

Explanation / Answer

DF = (s1^2/n1 + s2^2/n2)^2/((s1^2/n1)^2/(n1 - 1) + (s2^2/n2)^2/(n2 - 1))

      = ((2.9)^2/4 + 2^2/7)^2/(((2.9)^2/4)^2/3 + (2^2/7)^2/6)

     = 5

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