Question

The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13.
What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled? Round your answer to four decimal places.

Answer 1

find a z score

\[z=\frac{x-\bar x}{SE}\]
\[z=\frac{158-159}{13/\sqrt{60}}\]
then determine its probability