Given the summary information in Exercise 12.34, verify the calculation of the 95% confidence interval for each of the treatment means.
In exercise 12.34
A large investment firm claims that no discrepancy exists between the average incomes of its male and female investment counselors. Random samples consisting of 15 male counselors and 17 female counselors have been selected, and the results examined through the use of ANOVA. In terms of this situation, interpret the components of the following Minitab output.

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Analysis of Vartance Source DF Factor Error Total MS 1 142.142.8 2.70 0.111 30 I586.0 31 1728.8 52.9 Individual 95% CIs for Mean Based on Pooled StDev Level MALES FEMALES 17 3420 7.530 Mean 47.654 15 0.963 42.0 45.5 49.0 Pooled StDew 7.271