Arandom sample of size 25 is taken from a nor- mal population having a mean of 80 and a standard deviation of 5. a second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3. find the probability that the sample mean computed from the 25 measurements will exceed the sample mean com- puted from the 36 measurements by at least 3.4 but less than 5.9. assume the difference of the means to be measured to the nearest tenth.