A machine fills jars with 9 ounces of jam. The machine is not exact and jars have a standard deviation of 0.05 ounce. In a lot of 1000 jars, how many jars would you expect to have between 8.9 and 9.1 ounces of jam?

Give the exact answer.

The probability a jar has between 8.9 and 9.1 ounces is at least

Question

A machine fills jars with 9 ounces of jam. The machine is not exact and jars have a standard deviation of 0.05 ounce. In a lot of 1000 jars, how many jars would you expect to have between 8.9 and 9.1 ounces of jam?

Give the exact answer.

The probability a jar has between 8.9 and 9.1 ounces is at least

anonymous · Answer

So we have a sampling distribution of the mean amount of jam. Since n>30 by the central limit theorem, the sampling distribution of the mean is normal. So the sampling distribution is normal with a mean of 9 and a standard deviation of 0.05/sqrt(1000)

anonymous · Answer

that just confused me more sorry could you explain in a nother way