Homework Help: statistics

Posted by V on Wednesday, November 7, 2012 at 4:00pm.

An automatic machine that fills bags of unpopped popcorn is operating properly if the weights are independently and normally distributed with a mean of 114 grams and a standard deviation of 4.9 grams. Find the probability that if 7 bags are randomly selected, their mean weight exceeds 115 grams.

statistics - MathGuru, Wednesday, November 7, 2012 at 5:24pm
Use z-scores:

z = (x - mean)/(sd/√n)

With your data:

z = (115 - 114)/(4.9/√7)

Finish the calculation.

Next, check a z-table to find probability using the above z-score.

I hope this will help get you started.

Answer this Question

Related Questions

statistics - An automatic machine that fills bags of unpopped popcorn is ...
Statistics - An automatic machine in a manufacturing process is operating ...
statistics - The weights of certain machine components are normally distributed ...
statistics - Suppose that the weights of airline passenger bags are normally ...
Applied Calculus - In deciding whether o r not to setup a new manufacturing ...
Statistics - The actual weights of bag of pet food are normally distributed.The ...
Statistics - a machine fills containers with a standard deviation of filling ...
Statistics - The actual weights of bag of pet food are normally distributed.The ...
statistics - The actual weights of bag of pet food are normally distributed.The ...
statistics - The actual weights of bags of pet food are normally distributed.The...

For Further Reading

First Name:
School Subject:
Answer: