Results 1 to 1 of 1

Math Help - Normal and Sampling Distribution

  1. #1
    Member
    Joined
    Apr 2008
    Posts
    204

    Normal and Sampling Distribution

    Please help! I've got nooo idea what to do!

    1. The library checks out an average of 320 books per day, with a standard deviation of 75 books. Consider that the number of books checked out is normally distributed. A sample of 35 days is selected. Find the probability that

    a) on one day the number of books checked out is less than 200.
    (I got 0.5548??)
    b) the sample mean will be between 310 and 340 books.
    (got no idea where to start..)

    2. Kirks Soft Drinks investigated the performance of their drink filling machines for the "2 litre" bottles of soft drink and found fill amounts which closely resembled a normal distribution with a mean of 1.999litres and a standard deviation of 0.08 litres. The fullest 15% of bottles would be expected to contain more than how many litres of soft drink?

    3. Simulated data is frequently used in economic research. A simulated data set may be constructed with the assistance of a random number generator which draws values from between 0 and 1. The values have a mean of 1/2 and a variance of 1/12. Each data set generated consists of 500000 random numbers. If 1000 sets are generated, how many of these sets would we expect to have a mean of no larger than 0.5005.

    Your help would be muchly appreciated!!
    Last edited by mr fantastic; September 11th 2009 at 07:43 PM. Reason: Questions moved from original thread.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: July 4th 2010, 08:46 AM
  2. Problem on normal/gaussian distribution sampling
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: July 3rd 2010, 09:28 PM
  3. Normal and Sampling Distribution #2
    Posted in the Statistics Forum
    Replies: 0
    Last Post: September 11th 2009, 07:01 PM
  4. Replies: 6
    Last Post: January 16th 2009, 05:15 AM
  5. Sampling distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: October 1st 2008, 10:23 AM

Search Tags


/mathhelpforum @mathhelpforum