A random sampleof size 25 is taken from a normal population having a meanof 80 and a standard deviationof 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 probabilitythat the sample mean computed from the 25 measurements will exceed the sample mean computed 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.
Sampling Distributions and Sample Means are investigated. The solution is detailed and well presented. The response received a rating of “5/5” from the student who originally posted the question.