A random sample of size 81 is taken from a normal population having a mean of 80 and a standard deviation of 6. A second random sample of size 49 is taken from a different normal population having a mean of 70 and a standard deviation of 5. Find the probability that the sample mean computed from the 81 measurements will exceed the sample mean computed from the 49 measurements by at least 8.7 but less than 10.5. 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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