E. a gear motor manufacturer wants to test the hypothesis that the mean rotation rate for a particular motor under a wide variety of loading is 50 rpm. assume that the rotation rate is normally distributed. a quality control engineer sets up an experiment where the rotation rate of the motor measured as it is used to drive 9 different loads of increasing torque. the sample mean and standard deviation are computed to be x= 45.4 and s = 5.clearly state the null and alternate hypotheses.