A machine used for lling plastic bottles with a soft drink has a known standard deviation of 0 05 liter The target mean ll volume is 2 0 liters (a) Describe the sampling distribution of x, the sample mean ll volume, for a random sample of 45 such bottles (b) A quality control manager obtains a rand...

a Since we have a large sample n 45 30 we can use the Central Limit ...

A machine used for lling plastic bottles with a soft drink has a known standard deviation of

Question:

A machine used for ﬁlling plastic bottles with a soft drink has a known standard deviation of σ = 0.05 liter. The target mean ﬁll volume is µ = 2.0 liters.

(a) Describe the sampling distribution of x̄, the sample mean ﬁll volume, for a random sample of 45 such bottles.

(b) A quality-control manager obtains a random sample of 45 bottles. He will shut down the machine if the sample mean of these 45 bottles is less than 1.98 liters or greater than 2.02 liters. What is the probability that the quality-control manager will shut down the machine even though the machine is correctly calibrated?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...