Salary data show staff nurses in Tampa earn less than staff nurses in Dallas. Su
ID: 3250659 • Letter: S
Question
Salary data show staff nurses in Tampa earn less than staff nurses in Dallas. Suppose that in a follow-up study of 40 staff nurses in Tampa and 50 staff nurses in Dallas you obtain the following results.
Tampa Dallas n1 = 40 n2 = 50 $56,100 x1 = $59,400 x2 = S1 = $6000 S2= $7000
a) Formulate a hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are significantly lower than for those in Dallas. Use =0.05.
b) What is the value of the test statistic?
c) What is the p-value if df = 78?
d) What is your conclusion?
Explanation / Answer
a) H0 : 1 - 2 = 0
H1 : 1 - 2 < 0
b) SE = sqrt[ (s12/n1) + (s22/n2) ]
= sqrt[ (60002 / 40) + (70002 / 50) ]
= 1371.131
test statistic. t = (X1 - X2) / SE
= (56100 - 59400) / 1371.131
= -2.41
c) df = 78
p-value = 0.0092
d) =0.05
Since, p-value is less than , null hypothesi is rejected.
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