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Standard deviation

Forums › CIMA Forums › Standard deviation

  • This topic has 3 replies, 2 voices, and was last updated 9 years ago by AvatarCath.
Viewing 4 posts - 1 through 4 (of 4 total)
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  • October 12, 2016 at 3:26 pm #343065
    Avataraczens
    Member
    • Topics: 1
    • Replies: 2
    • ☆

    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!

    October 12, 2016 at 4:18 pm #343073
    AvatarCath
    Participant
    • Topics: 0
    • Replies: 448
    • ☆☆☆

    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.

    October 12, 2016 at 4:25 pm #343075
    Avataraczens
    Member
    • Topics: 1
    • Replies: 2
    • ☆

    Thanks Cath!

    October 13, 2016 at 1:08 pm #343184
    AvatarCath
    Participant
    • Topics: 0
    • Replies: 448
    • ☆☆☆

    You’re welcome

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