Results 1 to 4 of 4

Math Help - Hypothesis testing

  1. #1
    Newbie
    Joined
    May 2013
    From
    sydney
    Posts
    3

    Hypothesis testing

    Determine whether CCResort has been successful in meeting their key performance indicators stated in the business plan as:
    1- More than 40% of their customers stay for a full week (ie. 7 days)
    2- The average customer spends more than $ 255 per day in excess of accomodation

    (the full data sheet has been attached)

    How would i formulate a hypothesis test, confidence interval for the following, considering that
    -102 customers of the surveyed 200 stayed for 1 week

    Mean Expenditure 1170.705
    Median Expenditure 1254
    Mode Expenditure 428
    Variance
    468871.2


    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,163
    Thanks
    761

    Re: Hypothesis testing

    Hey tjang.

    Hint: If you are getting the distribution of the mean then the variance of the estimator is Sample_Variance/#Number of observations in sample.

    In other words (x_bar - mu)/[Sample_Variance/Number_Of_observations] ~ t_(n-1) = t distribution with (n-1) degrees of freedom.

    You can then re-arrange to get the distribution of mu and test the hypothesis mu > 255 if your variables correspond to daily spending.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2013
    From
    sydney
    Posts
    3

    Re: Hypothesis testing

    thanks chiro, i'll still a bit confused with what your saying
    do you mind showing some working out
    thanks in advance! =D
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,163
    Thanks
    761

    Re: Hypothesis testing

    In your example:

    Variance = 468871.2
    Number of Observations = 102 = n
    n - 1 = 101
    x_bar = 1170.705
    SE = SQRT(468871.2/102)
    Since mean > 255 you get

    Re-arranging you get a confidence interval of ((1170.705 - 255) - 1.96*SE, infinity) and the probability for this region is your p-value.

    If
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hypothesis Testing
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: September 27th 2011, 01:10 AM
  2. [SOLVED] Hypothesis Testing #2
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: September 7th 2011, 04:36 PM
  3. C.L.T hypothesis testing
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: April 30th 2009, 07:41 PM
  4. Hypothesis Testing
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: April 7th 2009, 03:13 PM
  5. Help...Hypothesis testing!
    Posted in the Statistics Forum
    Replies: 1
    Last Post: July 30th 2008, 08:14 PM

Search Tags


/mathhelpforum @mathhelpforum