In order to investigate the difference between mean job tenure in years among workers who have a college
degree and those who do not, random samples of each type of worker were taken. A random sample of 16
workers with a college degree had a mean of 5.7 years with a standard deviation of 1.3. A random sample
of 21 workers without a college degree had a mean of 5.0 years with a standard deviation of 1.5. Use an
significance level to test the claim that mean job tenure among those with a college degree is
greater than among those without a college degree. (Assume that the two samples are independent and
selected from normally distributed populations.)
a) State the hypotheses.
b) Calculate the test statistic and specify the critical value.
c) Find the P-value.
d) State the initial conclusion regarding the null hypothesis .
e) State the final conclusion in your own words that addresses the original claim
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