A bottling company sets a machine to fill 12 ounces of a sof

A bottling company sets a machine to fill 12 ounces of a soft drink in every bottle. A State inspector, in looking out for customers, selects a random sample of 49 bottles once a week. If the mean of the sample is less than 11.98 ounces, the company is given a $1000 fine. Assume that the population standard deviation is 0.07 ounces.

What is the shape of the distribution of mean. Explain

Solution

here sshape of distribution is bell shape because n=49 we use z test.

We know that as n is morethan 30 we use z=(x-mean) / SD

now any non normal distribution also tends to normal