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9.3 t-Interval to Compare Two Population Means: Independent Samples (Equal Variances)

A researcher wants to know if statisticians in the private sector are paid better than statisticians in the public sector.  She selects random samples from both areas the results are summarized below.  Form a 95% confidence interval for the average difference between the salaries of government statisticians and private sector statisticians (Assume equal variances).

Government             Private
n = 26                       n = 28

x-bar = $35.50/hr      x-bar = $54.60/hr

s = 4.16                     s = 4.4


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