Data provided by the National Association of College Employers indicated that the average starting salary for graduates with a Bachelors Degree in Accounting was $37,000 in 2008. In June 2010 a sample of 48 graduating accounting majors provided a sample average starting salary of $38,100, with a sample standard deviation of $5200. Conduct a hypothesis test to determine if it can be assumed that accounting graduates in 2010 had higher average salaries than graduates in 2008, using α = .05.
Solution:
Given that,
=$37,000
= $38,100
s = $5200.
n =48
The test statisc t is,
t = ( - ) / (s /n)
t =( 38,000 - 37,000) / (5200. / 48)
t = (1000* 48 ) / 5200.
t = 1.33
Test staistic = 1.33
Using t distribution table
P value = 0.095
P value >
0.095 > 0.05
Do not reject the null hypothesis .
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