Please Help

During assessments, testosterone level is typically measured (in ng/dl, i.e. nanograms per decilitre) as amount of testosterone floating in the blood. A researcher suggests that there are occupational differences in mean testosterone levels in men. A study was conducted and the corresponding data for 22 Medical Doctors and 60 Professors is collected. Assume that the testosterone levels are normally distributed in each of the groups.

Let Doctors represent true mean testosterone level of male doctors Let Professors represents true mean testosterone level of male prof

1. Researcher B believes that the true mean testosterone levels in male Professors is HIGHER by at least 50 ng/dl in comparison to male Doctors. Then, the appropriate null and alternative hypothesis

a) H0:Professors-Doctors=0vs.Ha:Professors-Doctors0

b) H0:Professors-Doctors=50vs.Ha:Professors-Doctors50

c) H0:Professors-Doctors50vs.Ha:Professors-Doctors<50

d) cannot be determined; is unknown

2. During assessments, testosterone level is typically measured (in ng/dl, i.e. nanograms per decilitre) as amount of testosterone floating in the blood. A researcher suggests that there are occupational differences in mean testosterone levels in men. A study was conducted and the corresponding data for 22 Medical Doctors and 60 Professors is collected. Assume that the testosterone levels are normally distributed in each of the groups.

Let Doctors represent true mean testosterone level of male doctors Let Professors represents true mean testosterone level of male prof

In R: Standard deviations for Doctors is 4.644 (ng/dl) and that of Professor is 2.605 (ng/dl).

Researcher C, believes that the true mean testosterone levels in male Professors is higher than that of the male Doctors. Using 5 % sinificance level, the appropriate test, using R, is