pair population1 population2 1 45 48 2 25 29 3 33 34 4 37 44 5 35 41 6 57 60 7 2
ID: 3226238 • Letter: P
Question
pair population1 population2
1 45 48
2 25 29
3 33 34
4 37 44
5 35 41
6 57 60
7 29 35
8 38 39
What is the null/alt hypothesis?
Identify rejection region. a=0.1
Calculate Test statistic.
Fin 99% confidence interval.
Give appropriate conclusion.
Please show steps. I'm studying for finals. thank you.
Explanation / Answer
H0 : Mean(population1 ) = Mean(population2)
HA : Mean(population1 ) is not equal to Mean(population2)
Difference Scores Calculations
Treatment 1
N1: 8
df1 = N - 1 = 8 - 1 = 7
M1: 37.38
SS1: 691.88
s21 = SS1/(N - 1) = 691.88/(8-1) = 98.84
Treatment 2
N2: 8
df2 = N - 1 = 8 - 1 = 7
M2: 41.25
SS2: 651.5
s22 = SS2/(N - 1) = 651.5/(8-1) = 93.07
T-value Calculation
s2p = ((df1/(df1 + df2)) * s21) + ((df2/(df2+ df2)) * s22) = ((7/14) * 98.84) + ((7/14) * 93.07) = 95.96
s2M1 = s2p/N1 = 95.96/8 = 11.99
s2M2 = s2p/N2 = 95.96/8 = 11.99
t = (M1 - M2)/(s2M1 + s2M2) = -3.88/23.99 = -0.79
The t-value is -0.79117. The p-value is .442046. The result is not significant at p < .01.
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