Round answers to two decimal places.

(a) We want to make inference about the average of female police officers overload scores in LA county (). We took a random sample of 15 female police officers and measure their overload scores. The resulting mean overload score was 41.9 with a standard deviation of 7.8. Now make an inference to the population mean () at the 95% level.

(b) We want to make inference about the average of male police officers overload scores in LA county (). We took a random sample of 15 female police officers and measure their overload scores. The resulting mean overload score was 32.5 with a standard deviation of 9.3. Now make an inference to the population mean () at the 95% level.