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#14 – A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means?

H0: 1 = 2
H1: 1 2

n1 = 15 n2 = 17 (sample size)
1 = 350 2 = 342 (sample mean)
s1 = 12 s2 = 15 (standard deviation)

= 0.10 (alpha significance level)

Step 1 – State the Null and Alternative Hypothesis

H0: 1 = 2
H1: 1 2

Step 2 – Select the Significance Level

= 0.10

Step 3 = n is < than 30, so we use "T" Test Statistics

Step 4 = Find the Critical Value of "T" statistic – use the Two Tail Test.

Critical Value = 2.749985 // formula =TINV(0.01,15+17-2)
SP2 = 187.2 // formula =((15-1)*12^2+(17-1)*15^2)/(15+17-2)
t = 1.650563 // formula =(350-342)/SQRT(J20*(1/15+1/17))

Step......

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Approximate Word Count: 1016
Approximate Pages: 5 (250 words per double-spaced page)

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