A can of Coke is supposed to contain, on the average, 16 ounces of soda with a standard deviation of 0.4 ounces. Suspecting fraud, you take a random sample of 50 cans and measure the amount of Coke in each. Your measurements show that the 50 cans had a means 15.9 ounces. What is the probability of a random sample of 50 cans having a mean of 15.9 ounces of soda or less?

Question

A can of Coke is supposed to contain, on the average, 16 ounces of soda with a standard deviation of 0.4 ounces.  Suspecting fraud, you take a random sample of 50 cans and measure the amount of Coke in each.  Your measurements show that the 50 cans had a means 15.9 ounces.  What is the probability of a random sample of 50 cans having a mean of 15.9 ounces of soda or less?

PsyDAG · Answer

Z = (score-mean)/SEm SEm = SD/√n Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.