Question 847369
A final exam in Math 1148 has a mean of 73 with standard deviation 7.8. If 54 students are randomly selected, find the probability that the mean of their test scores is at least 76.
-------
z(76) = (76-73)/[7.8/sqrt(54)] = 3*sqrt(54)/7.8 = 2.826
------
P(x-bar >= 76) = P(z >= 2.826) = 0.0024
-------------------------
Cheers,
Stan H.
==========================