Results 1 to 2 of 2

Math Help - Hypothesis Testing/P-Value

  1. #1
    Newbie
    Joined
    Jun 2008
    Posts
    2

    Hypothesis Testing/P-Value

    My last question!

    Listed below are the # of homeruns for the National League leader over the last 20 years. Assuming that # of homeruns is normally distributed, if this is sample data collected from a population of all past & future homerun leaders, test the claim that the mean homerun leader has less than 47 homeruns, where α=.05. Set up & complete the appropriate hypothesis test. For this data, also compute the p-value. Finally, compute 85% & 98% Confidence Intervals for this data.

    Year (Homerun)
    2006 (58)
    2005 (51)
    2004 (48)
    2003 (47)
    2002 (49)
    2001 (73)
    2000 (50)
    1999 (65)
    1998 (70)
    1997 (49)
    1996 (47)
    1995 (40)
    1994 (43)
    1993 (46)
    1992 (35)
    1991 (38)
    1990 (40)
    1989 (47)
    1988 (39)
    1987 (49)

    (The sum of all the homeruns is 984. The mean is 49.2)

    I know this should be a left-tailed test since it states "less than". But I'm very confused about how to set it up. Would I state Ho:u=47 (null) & H1:u<47 (alt)? And where do I go from there (I think I know but I'm not 100% sure).

    If anyone can help (or at least point me in the right direction), I'd appreciate it.

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by ridley1013 View Post
    My last question!

    Listed below are the # of homeruns for the National League leader over the last 20 years. Assuming that # of homeruns is normally distributed, if this is sample data collected from a population of all past & future homerun leaders, test the claim that the mean homerun leader has less than 47 homeruns, where α=.05. Set up & complete the appropriate hypothesis test. For this data, also compute the p-value. Finally, compute 85% & 98% Confidence Intervals for this data.

    Year (Homerun)
    2006 (58)
    2005 (51)
    2004 (48)
    2003 (47)
    2002 (49)
    2001 (73)
    2000 (50)
    1999 (65)
    1998 (70)
    1997 (49)
    1996 (47)
    1995 (40)
    1994 (43)
    1993 (46)
    1992 (35)
    1991 (38)
    1990 (40)
    1989 (47)
    1988 (39)
    1987 (49)

    (The sum of all the homeruns is 984. The mean is 49.2)

    I know this should be a left-tailed test since it states "less than". But I'm very confused about how to set it up. Would I state Ho:u=47 (null) & H1:u<47 (alt)? And where do I go from there (I think I know but I'm not 100% sure).

    If anyone can help (or at least point me in the right direction), I'd appreciate it.

    Thanks!
    Find n. Calculate the sd of the sample. Then use the t-statistic (why?) to test the hypothesis and to construct the required confidence intervals. Your notes will have the required formulae to use.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hypothesis testing.
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: July 7th 2010, 09:26 PM
  2. Hypothesis testing help !
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: April 22nd 2010, 02:48 PM
  3. Hypothesis testing.
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: April 22nd 2010, 05:57 AM
  4. Hypothesis testing
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: April 17th 2010, 04:57 PM
  5. Hypothesis Testing!
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: August 4th 2008, 08:45 PM

Search Tags


/mathhelpforum @mathhelpforum