SOLUTION: The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is sti

Question 981605: The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is still medium size?
3.2 oz
3.33 oz
3.45 oz
3.46 oz
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is still medium size?
----
Draw a normal curve.
Sketch a 95% area centered at 3.2 oz
---
Find the z-value of the upper limit of that area.
invNorm(0.975) = 1.96
-----
Find the corresponding weight value::
x = z*s + u
x = 1.96*0.13+3.2 = 3.45 oz
---------------
Cheers,
Stan H.
-------------

3.2 oz
3.33 oz
3.45 oz
3.46 oz
RELATED QUESTIONS
Suppose that the weight of cereal in boxes is labeled to have 20 oz is distributed with... (answered by rothauserc)

Suppose the weight of cereal in a box is labeled to contain 20 oz and is distributed with (answered by stanbon)

A package of Toys Galore Cereal is marked "Net Wt. 12 oz." The actual weight is normally... (answered by Boreal)

Statistic students weighed a sample of 9 randomly chosen cans of coke, and found the... (answered by rothauserc)

The weight of oranges growing in an orchard is normally distributed with a mean weight of (answered by Boreal)

Please show me how to complete this problem: Cheese weighs 8 oz, has a normal... (answered by stanbon)

The weight of a grapefruit from a large shipment averages 15 oz. with a standard... (answered by Boreal)

A process is in control when the average amount of instant coffee that is packed in a... (answered by Boreal)

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