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    umadevi S's Avatar
    umadevi S Posts: 1, Reputation: 1
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    #1

    Oct 26, 2009, 12:52 AM
    Sample mean
    Two laboratories A and B carry out independent estimates of fat content in ice cream made by a firm. A sample taken from each batch gives the following fat content:

    Batch No - 1 2 3 4 5 6 7 8 9 10
    Lab A _ 7 8 7 3 8 6 9 4 7 8
    Lab B _ 9 8 8 4 7 7 9 6 6 6

    Is there a significant difference between the mean fat-content obtained by the two laboratories A and B?
    Nhatkiem's Avatar
    Nhatkiem Posts: 120, Reputation: 9
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    #2

    Oct 26, 2009, 10:18 AM

    The mean of any sample is



    Find the mean for both samples and take the difference.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    Oct 26, 2009, 11:19 PM

    Hm, by the way Nhatkiem, the code for 'space' is '\,' [backslash comma]
    morgaine300's Avatar
    morgaine300 Posts: 6,561, Reputation: 276
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    #4

    Oct 26, 2009, 11:24 PM

    Or just backslash and a space.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #5

    Oct 26, 2009, 11:26 PM
    Oh, yes, you're right :o Less to type
    morgaine300's Avatar
    morgaine300 Posts: 6,561, Reputation: 276
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    #6

    Oct 26, 2009, 11:29 PM

    Yes, and I'm bound to take the easy way out. LOL.
    Nhatkiem's Avatar
    Nhatkiem Posts: 120, Reputation: 9
    Junior Member
    		  
    #7

    Oct 27, 2009, 12:07 AM

    Oh really.. lol I was getting annoyed at the spaces not entering.. so.. periods haha
    Chris-infj's Avatar
    Chris-infj Posts: 31, Reputation: 4
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    #8

    Oct 27, 2009, 08:23 AM
    Quote Originally Posted by umadevi S View Post
    Two laboratories A and B carry out independent estimates of fat content in ice cream made by a firm. A sample taken from each batch gives the following fat content:

    Batch No - 1 2 3 4 5 6 7 8 9 10
    Lab A _ 7 8 7 3 8 6 9 4 7 8
    Lab B _ 9 8 8 4 7 7 9 6 6 6

    Is there a significant difference between the mean fat-content obtained by the two laboratories A and B?
    You need to calculate the mean for sample A and also the standard deviation for sample A.
    Then, also the mean for sample B and the standard deviation for sample B. Look up the formulae in your textbook. The mean for sample A should differ from that of sample B. But the question is 'IS that difference SIGNIFICANT?' or can it just be attributed to 'normal' variability in the data.

    Then look up hypothesis testing: difference between two means in your textbook or elsewhere and follow the procedure for hypothesis testing.

    You'll have to decide on the level of significance of the test if none is given. Typically, use a 5% level of significance.
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