Find the value that is two standard deviations above the expected value 90 of the sample mean. Lets find the probability that each sample mean will be within 10 points of actual population mean mu 549. Samples of size n 25 are drawn randomly from the population.
And to figure that out we go to a Z-table and you could find this pretty much anywhere.
All that formula is saying is add up all of the numbers in your data set S means add up and x. Given a situation that can be modeled using the normal distribution with a mean m and standard deviation s we can calculate probabilities based on this data by standardizing the normal distribution. Here The mean of the sample and population are represented by µx and µ. PbarX-muleq 10 P539leq barXleq 559 textnormalcdf5395595496 09044.