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Hypothesis Testing Please Help


New member
Apr 9, 2012
Hi I am having trouble with some difficult hypothesis testing problems. Here is one:

For a sample of 16 employers in one large firm, the mean hourly wage is x1 bar = $9.50 with s1= $1.00. In a second large firm, the mean hourly wage for a sample of 25 employers is x2 bar= $9.05 with s2= $1.20. Test the null hypothesis that there is no difference between the average wage rates between the two firms using 5% level of significance, assuming variance of two populations is not the same. Also calculate p value.

From what I understand, I set up t test where t= (x1bar-x2bar) - (u1-u2)/ square root of s1^2/n1 + s2^2/n2 and I got t = 1.2985. You also have to solve for the degrees of freedom which is a really complicated equation but I got df= 36. I don't know what to do from here or if what I have done so far is correct. Please help.