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Forums › Ask CIMA Tutor Forums › Ask CIMA P1 Tutor Forums › Standard deviation
Hi,
I am struggling with the following question:
A production manager has determined that when the equipment is working properly, the mean weight of items coming off a production line is 800g. The standard deviation is 12g.
An item has just been taken from the production line at random and weighs 823g.
Click here to view the standard normal distribution table.
What is the percentage chance (to two decimal places) that an item would weigh 823g or more when the equipment is working properly?
How do I work this out?
Thanks!
To have a weight of 823g means that they are 23g away from the average profit of 800g.
23g is equivalent to 23/12 = 1.9166 standard deviations.
If you look up in the tables for 1.9166 std deviations you will then have the probability.
Thanks Cath!
You’re welcome