Question

Please walk me through SPSS to answer this question, NOT just answer it but please show me how you did it on SPSS...

Consider the data below of inches of rainfall per month for two different regions in the Northwestern United States:

   Plains Mountains

April 25.2 13.0

May 17.1 18.1

June 18.9 15.7

July 17.3 11.3

August 16.5 14.0

Using SPSS, perform a two-sample t-test for the hypothesis that there is not the same amount of rainfall in both regions in the Northwestern United States with a significance level of 0.025. What are the degrees of freedom of your test statistic?

Answer 1

Click OK

Click Define Groups

Give continue and Click OK. You will get output

Hypothesis:

H₀ :  There is the same amount of rainfall in both regions in the Northwestern United States

H₁ :  There is not the same amount of rainfall in both regions in the Northwestern United States

From SPSS output

Test statistic, t = 2.315

degrees of freedom = n1 + n2 - 2 = 5 + 5 - 2 = 8

p - value = 0.49

Conclusion : Since p - value = 0.49 which is greater than = 0.025 . Hence we do not reject H₀. so we conclude that there is the same amount of rainfall in both regions in the Northwestern United States at 2.5% level of significance.