Question

Sample A has a sample size of 12, a mean of 70, and a variance of 160. Sample B has a sample size of 15, a mean of 75, and a variance of 180. Using a two-tail test with p < .05 significance, is there a difference between the means of the two samples?

Group of answer choices

Yes, Sample B has higher outcome scores than Sample A, t(25) = -0.987, p < .05.

Yes, Sample B has higher outcome scores than Sample A, t(27) = 5, p < .05.

Yes, Sample B has higher outcome scores than Sample A, t(25) = 5, p < .05.

No, the samples are not significantly different from each other, t(25) = -0.987, ns.

Answer 1

H0: 1 = 2

Ha: 1 2

n1=12, n2=15

S1^2=160, S2^2=180

Pooled Variance

=Sp ^2

=( (n1-1)S1^2 + (n2-1) S2^2) / (n1+n2-2)

= ((12-1) * 160 + (15-1) * 180) / 25

=1712

Sp= 13.084

, ( ( - ) - ( 1 - 2 ) ) / Sp t n1+n2 -2

Test statistic , t = ( - ) / Sp = (70-75) / 13.084 = - .987 [Ans]

t ( 25 ) = -.987 now, t crit = - t =0.025 , 25 = - 2.060

So |tcrit | > |t | so failed to reject null hypothesis. p value is greater than 0.05

No, the samples are not significantly different from each other, t(25) = -0.987. Last option is correct [Ans]

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