A random sample of size 49 is taken from a normal 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 65 and a standard deviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed the sample mean computed from the 36 measurements by at least 12.7 but less than 15.8. Assume the difference of the means to be measured to the nearest tenth. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is (Round to four decimal places as needed.)

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