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Assume that you have a sample of n 1 equals 8n1=8​, with the sample mean Upper...

Assume that you have a sample of n 1 equals 8n1=8​, with the sample mean Upper X overbar 1 equals 49X1=49​, and a sample standard deviation of Upper S1=4, and you have an independent sample of 2=12 from another population with a sample mean of Upper X overbar 2=39 and the sample standard deviation Upper S2=8. Complete parts​ (a) through​ (d) below.

a. What is the value of the​ pooled-variance tSTAT test statistic for testing Upper H 0 : mu 1 equals mu 2H0: μ1=μ2​?

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Answer #1
x1    = 49.00 x2      = 39.00
s1    = 4.00 s2      = 8.00
n1    = 8 n2     = 12
Pooled Variance Sp2=((n1-1)s21+(n2-1)*s22)/(n1+n2-2)= 45.3333 (please take care of decimals required()
standard error se =Sp*√(1/n1+1/n2)= 3.0732
test stat t =(x1-x2-Δo)/Se= 3.254(please take care of decimals required()
p value : = 0.0044(please take care of decimals required()
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