11 Assume that cans are filled so that the actual amounts ha

11

Assume that cans are filled so that the actual amounts have a mean of 13.00 ounces. A random sample of 36 cans has a mean amount of 13.86 ounces. The distribution of sample means of size 36 is normal with an assumed mean of 13.00 ounces and a standard deviation of 0.09 ounce. a. How many standard deviations is the sample mean from the mean of the distribution of sample means? [] standard deviations (Round to the nearest tenth as needed.)

Solution

SD = 0.09 / sqrt(36) = 0.09 / 6 = 0.03 / 2 = 0.015 ~ 0.02 Answer