SOLUTION: The distribution of actual weights of 8oz. wedges of cheddar cheese produced by a certain company is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of f

Question 525315: The distribution of actual weights of 8oz. wedges of cheddar cheese produced by a certain company is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of five of these cheese wedges is selected. What is the probability that their average weight is less than 8oz?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The distribution of actual weights of 8oz. wedges of cheddar cheese produced by a certain company is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of five of these cheese wedges is selected. What is the probability that their average weight is less than 8oz?
---------------------------
t(8) = (8-8.1)/[0.1/sqrt(5)] = -2.2361
---
P(x < 8) = P(t < -2.2361 when df = 4) = tcdf(-100,-2.2361,4) = 0.0445
===================
Cheers,
Stan H.
===================
RELATED QUESTIONS
Mrs. Schmeiderer is making a cheese tray containing Cheddar and Swiss cheese that will... (answered by richwmiller)

Help - the farmer sells mixed grade eggs by the dozen. Describe the distribution of the... (answered by ewatrrr)

The weights of people in a certain population are normally distributed with a mean of 154 (answered by Boreal)

This is a Normal Probability Distribution problem. Can I get some step by step help in... (answered by stanbon)

Please help me with these two homework problems. I have worked out both of them and keep... (answered by stanbon)

A golf equipment company produces drivers that are stated to be 44 inches long. Suppose... (answered by ewatrrr)

Birth weights at a local hospital have a normal distribution with a mean of 110 oz. and a (answered by ewatrrr)

The weights of trout in a certain river follow a normal distribution with mean 3 pounds... (answered by stanbon)

Suppose certain coins have weights that are normally distributed with a mean of 5.661 g... (answered by Boreal)