SOLUTION: a random sample of 40 unionized adjunct professors yeiled and average hourly salary of x1=$40.75 with s=$4.30 after adjustments were made for union dues. another sample of 55 non-u

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Question 1104885: a random sample of 40 unionized adjunct professors yeiled and average hourly salary of x1=$40.75 with s=$4.30 after adjustments were made for union dues. another sample of 55 non-unionized adjunct professors yeilded x2=$38.80 with s=$3.90. test at the alpha = .05 signifigance level whether the true mean hourly salary of the two groups of adjunct professors is the same or alternatively different. assumer normalitiy of the samples.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: same
Ha: unequal
test statistic is t df=93
critical value is |t|> 1.97
t=(xbar1-xbar2)/sqrt ((s1^2/n1)+s2^2/n2)); sqrt term is 0.462+0.277=0.739; sqrt (0.739)=0.860
t=1.95/0.86=2.27, which is greater than 1.97 test statistic.
Can conclude there is a difference at the 0.05 level.