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Chapter 11: Problem 64

The article "Trial Lawyers and Testosterone: BlueCollar Talent in a White- Collar World" (Journal of Applied Social Psychology [1998]: 84-94) compared trial lawyers and nontrial lawyers on the basis of mean testosterone level. Random samples of 35 male trial lawyers, 31 male nontrial lawyers, 13 female trial lawyers, and 18 female nontrial lawyers were selected for study. The article includes the following statement: "Trial lawyers had higher testosterone levels than did nontrial lawyers. This was true for men, \(t(64)=3.75, p<.001\), and for women, \(t(29)=2.26, p<.05 . "\) a. Based on the information given, is there a significant difference in the mean testosterone level for male trial and nontrial lawyers? b. Based on the information given, is there a significant difference in the mean testosterone level for female trial and nontrial lawyers? c. Do you have enough information to carry out a test to determine whether there is a significant difference in the mean testosterone levels of male and female trial lawyers? If so, carry out such a test. If not, what additional information would you need to be able to conduct the test?

Short Answer

Expert verified
a. Yes, there is a significant difference in the mean testosterone level for male trial and nontrial lawyers. b. Yes, there is a significant difference in the mean testosterone level for female trial and nontrial lawyers. c. A test can't be performed without additional data.

Step by step solution

01

Interpreting Results for Male Lawyers

Based on the information given, the t-value for male lawyers is 3.75 with a p-value less than 0.001. Since the p-value is less than the significance level (0.05), we reject the null hypothesis. Therefore, there is a significant difference in the mean testosterone level for male trial and nontrial lawyers.
02

Interpreting Results for Female Lawyers

Likewise, the t-value for female lawyers is 2.26 with a p-value less than 0.05. Again, as the p-value is less than the significance level (0.05), we reject the null hypothesis. Therefore, there is a significant difference in the mean testosterone level for female trial and nontrial lawyers.
03

Identification of Missing Data

For the last part, in order to determine whether there is a significant difference in male and female trial lawyers' mean testosterone levels, we would need the t and p-values for the comparison of these two groups, which is not provided in the problem. The necessary additional information is the mean, standard deviation, or range of testosterone level for both male and female trial lawyers, and the number of subjects in each group.

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