# quality management MGT 532

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• #44704

Participant

I really need help with this questions… anyone understand it better then me?

6) New Orleans Punch is sold in 16 oz. cans. The mean number of ounces placed in a can is 15.8 with a standard diviation of 0.1 once.

Assuming a normal distribution, what is the probability that the filling machine will cause an overflow in a can,

that is, the probability that more then 16 ounces will be placed in the can?

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#143838

Mikel
Member

532 level class – that’s graduate level right?
Man, you don’t belong there if you can’t do it on your own.
Hint – go to Excel – Paste function ( the little fx thing next to the input window) – Statistics – NormDist. It is intuitively obvious what to do from there.

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#143840

Joe BB
Participant

Ignore the ignorants!
Z = (16-15.8)/0.1 = 2
On the normal distribution table,  Z = 2 corresponds to 0.4772
The probability for for exeeding 16 ouces is 0.5 – 0.4772 = 0.0228
I hope that this will help and once again, ignore the arrogant fools.

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#143841

Mikel
Member

You want them to ignore you?
Gee Joe, I told them how to find the answer, you gave them the answer. Who is the real fool?

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#143842

Participant

Thank you so much! That is a great help. Sometimes you understand things in class and sometimes it takes a bit of extra work. I am taking my classes online, so I am self teaching basically with the book and online class discussions. Once again thanks for you help and understanding!

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#143843

Participant

Z = (16-15.8)/0.1 = 2
On the normal distribution table,  Z = 2 corresponds to 0.4772
The probability for for exeeding 16 ouces is 0.5 – 0.4772 = 0.0228
I have a couple questions. how did you find that Z = 2 corrisponds to 0.4772? Where did you get that information from? also, where did you get 0.5?
Thanks!

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#143844

Brit
Participant

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#143845

Joe BB
Participant

Z = 2 corresponds to 0.4772 is found on the Normal distribution table at the back on your book.
0.5 corresponds to half the area under the normal curve. You substract 0.4772 from that area to obtain the probability you were looking for.
Do not pay Little-Man-StanBoy any attention, nobody takes him seriously on this forum. He is just another fool.

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#143846

Participant

I do! Thanks… I guess I am so stressed about exams I am making things harder then need be.

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#143847

Participant

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#143848

Brit
Participant

Not that Stan has to be defended, but given an intelligent question and relative proof that you have tried to find the answer, he has always been generous with the issues I have brought to the table.  Regardles of his lack of patience with the students looking to get an answer, he does, by demonstration, have a good amount of knowledge to share.

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#143870

Mike Carnell
Participant

I have not posted in a while so I will be a little rusty on this but if you look at the question (probably not the answer your instructor wants). You specified it was a 16 oz can.

The question was:

“Assuming a normal distribution, what is the probability that the filling machine will cause an overflow in a can,

that is, the probability that more then 16 ounces will be placed in the can? “

You actually need to understand the capability of the can manufacturer and how frequently they build a can that holds more than 16 oz. If they actually build only 16 oz cans the answer is zero because you cannot fit more than 16 oz in the can.

Just my opinion.

Good Luck

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