In an earlier SIOP salary survey (Katkowski \& Medsker, 2001), 73 of the respondents ( 33 males, 40 females) received their master's degrees in the 10 -year period from 1991 to 2000. Listed below are descriptive statistics of the income of the two genders:

Calculate two \(95 \%\) confidence intervals, one for males and one for females. For each gender ...

a. State the desired level of confidence.

b. Calculate the confidence interval and confidence limits. 1.

Calculate the standard error of the mean \(\left(s \mathrm{X}^{-}\right)\). 2.

Calculate the degrees of freedom \((d f)\) and identify the critical value of \(t\). 3.

Calculate the confidence interval and confidence limits.

c. Draw a conclusion about the confidence interval.

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Gender N Mean (X) s.d. (s) Male 33 $70,727 $41,845 Female 40 $63,200 $30,182