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# Mean salary of accountants

Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners? A sample of 15 accountants who have the partnership status showed a mean salary of \$82,000 with a standard deviation of \$5,500. A sample of 12 accountants who were not partners showed a mean of \$78,000 with a standard deviation of \$6,500. At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries?

a. State the null and alternate hypotheses.

H0: _______________________
H1: _______________________

b. State the decision rule.

c. Compute the value of the test statistic.

d. Compute the p-value.

e. What is your decision regarding the null hypothesis?

#### Solution Preview

a. State the null and alternate hypotheses.
H0: µ1=µ2
H1: µ1>µ2

b. State the decision rule.
Since the sample size is less than 30 for both accountants ...

#### Solution Summary

The mean salaries of accountants is analyzed for different levels. Accountants at partners and non-partnership levels are examined.

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