The population of soft drink cans filled by a particular machine is known to be normally distributed with a mean equal to 12 ounces and a standard deviation equal to .25 ounces.Given this information,the sampling distribution for a random sample of n = 25 cans will also be normally distributed with a mean equal to 12 ounces and a standard deviation equal to .05 ounces.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will be normally distributed if the sample size is large enough (n ≥ 30 is a common rule of thumb, but n = 25 is often sufficient), with the same mean as the population mean (12 ounces) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (0.25/√25 = 0.05 ounces).

The Population of Soft Drink Cans Filled by a Particular