+ Reply to Thread
Results 1 to 3 of 3

Thread: Sample Mean and Standard Deviation affects results to support reject Null Hypothesis

  1. #1
    Points: 298, Level: 5
    Level completed: 96%, Points required for next Level: 2

    Posts
    3
    Thanks
    0
    Thanked 0 Times in 0 Posts

    Sample Mean and Standard Deviation affects results to support reject Null Hypothesis




    Hi All,

    I'm pretty new to Hypothesis Testing and I've come across a question I'm not sure of and was hoping someone could explain it.

    Suppose we wish to test H0: = 15 , HA: ≠15. Which of the following possible sample results give the most evidence to support HA?

    And the options are...

    Sample mean = 19, sample standard deviation = 2

    Sample mean = 12, sample standard deviation = 3

    Sample mean = 17, sample standard deviation = 2

    Sample mean = 13, sample standard deviation = 4

    Sample mean = 11, sample standard deviation = 8

    When I was researching this I found notes that stated if the sample statistic is far enough away from the hypothesised value then we can conclude that the Null Hypothesis is most likely false. So I was thinking the option with Sample Mean = 11 and sample standard deviation = 8 would be the best answer. However, I'm wondering if there is another theory behind it and I need to take the standard deviation into account.

    Any help/advice is appreciated.

    Thanks

  2. #2
    TS Contributor
    Points: 14,811, Level: 78
    Level completed: 91%, Points required for next Level: 39
    Miner's Avatar
    Location
    Greater Milwaukee area
    Posts
    1,171
    Thanks
    34
    Thanked 405 Times in 363 Posts

    Re: Sample Mean and Standard Deviation affects results to support reject Null Hypothe

    You need a 1-sample t-test. Here is a link to the formula.

  3. #3
    Omega Contributor
    Points: 38,334, Level: 100
    Level completed: 0%, Points required for next Level: 0
    hlsmith's Avatar
    Location
    Not Ames, IA
    Posts
    6,998
    Thanks
    398
    Thanked 1,186 Times in 1,147 Posts

    Re: Sample Mean and Standard Deviation affects results to support reject Null Hypothe


    What number is the furtherest away from the comparison value and has the smallest standard deviation? The key here is the standard deviation term once you get that a number further away is less likely to be equal to a value. Lastly, this is all assuming that all of the samples are equal in size.
    Stop cowardice, ban guns!

+ Reply to Thread

           




Tags for this Thread

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts






Advertise on Talk Stats