Question

Assume that you have a sample of n1=8, with the sample mean Xbar1= 49, and a sample standard deviation of S1=5, and you have an independant sample of n2=16 from another population with a sample mean of Xbar2 = 33 and a sample standard deviation S2=7.

part a

what is the value of the pooled variance TSTAT test statistic for testing Ho :  μ1=μ2​?

part b

In finding the critical​ value, how many degrees of freedom are​ there?

part c:

Using a significance level of alphaequals0.025​, what is the critical value for a​ one-tail test of the hypothesis Upper H 0 : mu 1 less than or equals mu 2 against the alternative Upper H 1 : mu 1 greater than mu 2 question mark
What is your statistical​ decision?

Answer 1

Pooled variance = 41.3636

Test statistics = 5.745

Critical Value = 2.074

Df = 22

P value = 0.000

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