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March 27th, 2018, 02:33 PM   #1
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Statistics

Hello

Can you help me please about the next exercise:

In a pastry shop which bakes cheese cakes whose weight with normal distribution.
The average of weight is 500 grams and a standard deviation is 10 grams.
The pastry shop donates 2.5% of the cakes with the lowest weight.
What is the maximum weight of a donated cake?

My solution:
2.5% = 0.025
In table of Z, 0.025 = -2.8

Therefore, the maximum weight of a donated cake is 472.
Right?

I'm not sure if I solved correctly, because I didn't understand the explanation of my lecturer about the same subject.

Thanks!
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March 27th, 2018, 03:22 PM   #2
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I'm getting a z-value of -1.95996 for p=0.025.

check your look up.
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March 27th, 2018, 03:40 PM   #3
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Quote:
Originally Posted by romsek View Post
I'm getting a z-value of -1.95996 for p=0.025.

check your look up.
Thanks for answering

I'm sorry, you're right, the value is -1.95996
I solved again, and the maximum weight is 480.4, right?
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March 27th, 2018, 03:53 PM   #4
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yep
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