Treatment 1 Scores: 4, 5, 12, 10, 10, 7 Treatment 2 Scores: 19, 11, 18, 10, 12,

Question

Treatment 1 Scores: 4, 5, 12, 10, 10, 7

Treatment 2 Scores: 19, 11, 18, 10, 12, 14

PART A [6 pts]. Do these data indicate a significant difference between the treatments at the .05 level of significance? Show all work and then summarize your answer using the following format AND symbols: • H0: • df = • tcrit = • sp2 = • s(M1–M2) = • tobt = • Decision:

PART B [2 pts]. If appropriate, compute & evaluate Cohen’s d to measure the size of the treatment effect. • d =

PART C [2 pts]. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report

Explanation / Answer

Difference Scores Calculations

Treatment 1

N1: 6
df1 = N - 1 = 6 - 1 = 5
M1: 8
SS1: 50
s21 = SS1(N - 1) = 50(6-1) = 10


Treatment 2

N2: 6
df2 = N - 1 = 6 - 1 = 5
M2: 14
SS2: 70
s22 = SS2(N - 1) = 70(6-1) = 14


T-value Calculation

s2p = ((df1(df1 + df2)) * s21) + ((df2(df2 + df2)) * s22) = ((510) * 10) + ((510) * 14) = 12

s2M1 = s2pN1 = 126 = 2
s2M2 = s2pN2 = 126 = 2

t = (M1 - M2)(s2M1 + s2M2) = -64 = -3

The t-value is -3. The p-value is .013344. The result is significant at p < .05.

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