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Hypothesis test

  1. Apr 11, 2014 #1
    1. The problem statement, all variables and given/known data

    "Is there sufficient evidence to support the claim that the mean content of all such containers is at least 3 litres?


    2. Relevant equations



    3. The attempt at a solution


    I'm not sure what H0 and H1 will be

    H0: The mean content is not at least 3L

    H1: The mean content is at least 3L. So does this imply that u, the mean, is greater than or equal to 3 or is u lower than or equal to 3?
     
  2. jcsd
  3. Apr 11, 2014 #2

    haruspex

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    Which do you think?
     
  4. Apr 12, 2014 #3
    The solution says that for Ho, u is greater than or equal to 3

    isnt the null hypothesis supposed to be the opposite of the claim?
     
  5. Apr 12, 2014 #4

    LCKurtz

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    @ princejan7: Of the numbers 1,2,3,4,5, which ones would you say are at least 3?
     
  6. Apr 13, 2014 #5

    statdad

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    That the stated answer has the null hypothesis as [itex] H_0 \colon \mu \ge 3 [/itex], it is a very poorly worded question. Hypothesis testing does not gather data in support of the null hypothesis
     
  7. Apr 13, 2014 #6

    haruspex

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    I'd go further and say the stated answer is simply wrong.
     
  8. Apr 13, 2014 #7

    statdad

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    I was feeling unusually mellow when I made my comment.
     
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