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November 08, 2025, 05:07:48 am

Author Topic: Finding standard deviations  (Read 572 times)  Share 

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Ematuro

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Finding standard deviations
« on: September 21, 2011, 09:55:46 pm »
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I do not get how to do these find the standard deviation questions. Got stuck on this one:

The weight of a packet of biscuits is known to be normally distributed with a mean of
1 kg. If a packet is more than 0.05 kg underweight, it is unacceptable. If it is found that
3% of packets are unacceptable, then the standard deviation of the weight is:

Can someone please help? And when does one need to use the z formula I'm really confused.
Thanks in advance.

luken93

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Re: Finding standard deviations
« Reply #1 on: September 21, 2011, 11:34:48 pm »
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Pr(X < 0.95) = 0.03

Using invnorm for standard normal distribution, you'll find that the value of z such that Pr(Z < z) = 0.03 is −1.881

Therefore, using z = (x - u)/q

-1.881 = (0.95 - 1)/q
q=0.0266
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