Question 1203992
population mean is 4.1
population standard deviation is .6
sample mean is 3.8
sample size is 42.
standard error = standard deviation / sqrt(sample size) = .6 / sqrt(42) = .092582.
z-score = (x - m) / s = (3.8 - 4.1) / .092582 = -3.240371.
x is the sample mean.
m is the population mean.
s is the standard error.
the probability of getting a z-score less than -3.240371 is .0005969333.
that's the probability of getting a sample mean less than 3.8.