For what fill amount are they searching? round nearest thousandth.

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean pf 12.26 ounces and SD of .04 ounces. Company is interested in reducing the amount go extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by the machine. For what fill amount are they searching? round nearest thousandth. 

May 1st, 2015

At the highest 1.5%

Z = 2.27  according to the Z chart for normal distribution

That means 2.27 standard deviations above the mean

(2.27)(.04) = 0.091 ounces more than 12.26

12.26 + 0.091 = 12.351 ounces or more

May 1st, 2015

Oops, I read the chart wrong...it's Z = 2.17 not 2.27  (a little hard to line up the numbers on the chart)

So, then it's (2.17)(0.04) = 0.0868

12.26 + 0.0868 = 12.347

May 1st, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
May 1st, 2015
...
May 1st, 2015
Jun 29th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer