Given the following sample information test the hypothesis t

Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.

State the null hypothesis and the alternate hypothesis.

      Null hypothesis (which one?)

Ho: 1 = 2 = 3
Ho: 1 = 2

H₁: Treatment means are not all the same

H₁: Treatment means are all the same

Solution

The null hypothesis is that all means are the same.

Thus,

Ho: u1 = u2 = u3 [ANSWER]

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H1: Treatments are not all the same.

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The numerator degrees of freedom is

df1 = number of groups - 1 = 3 - 1 = 2
df2 = number of participants - number of groups = 12 - 3 = 9

Thus, using a table/technology,

Fcrit = 4.256494729

Thus, Reject Ho if F > 4.26. [ANSWER]