Question

Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.44 ounces and a standard deviation of 0.06 ounce. Find the probability that a sample of 36 of the bottles has a mean that

is between 12.42 and 12.46 ounces

Answer 1

Z = (mean1 - mean2)/SEm

SEm = SD/√n

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.

Answer 2

The results that came back were 125 in favor of the law, and 120 against. Given that the crew at the center would use the fact that the simple majority would win, Johnny Statman, said I don't think that is appropriate decision, and we really need to need to have our group oppose the law. How do you suppose he came up with that conclusion? What kind of analysis did he do to arrive at his decision