A random sample of size 25 is taken from a normal population having a mean of 85 and a standard deviation of 3. A second random sample of size 49 is taken from a different normal population having a mean of 80 and a standard deviation of 7. Find the probability that the sample mean computed from the 25 measurements will exceed the sample mean computed from the 49 measurements by at least 3.7 but less than 5.7. Assume the difference of the means to be measured to the nearest tenth.

A random sample of size 25 is taken from a normal population having a mean of 85 and a standard deviation of 3. A second random sample of size 49 is taken from a different normal population having a mean of 80 and a standard deviation of 7. Find the probability that the sample mean computed from the 25 measurements will exceed the sample mean computed from the 49 measurements by at least 3.7 but less than 5.7. Assume the difference of the means to be measured to the nearest tenth.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 7E

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