Question 1184623
the population mean is 18.3 inches.
the population standard deviation is 3.6 inches.
the sample size is 24.
you want to know the probability that the sample mean is less than 19.8 inches.


standard error = standard deviation divided by square root of sample size = 3.6 / sqrt(24) = .7348469.


z = (x - m) / s


z is the z-score
x is the sample mean
m is the population mean
s is the standard error.


z = (19.8 - 18.3) / .7348469 = 2.0412415.


the area to the left of that z-score is equal to .9794, rounded to 4 decimal places.