Results 1 to 3 of 3

Math Help - Statistics problem - please help!

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    4

    Statistics problem - please help!

    Statistics gathering

    The industrial company Acme is looking at buying new computer based technology to replace similar but older technology. The task the workers have to perform is relatively complex, even with the assistance of the technology, so the company has run a small user trial to compare two alternate pieces of equipment (A & B) available on the market.

    Purchase issues such as capital and running costs etc were likely to be very similar so the company was only really concerned with the likelihood of workers making errors with the new technology because errors impact on productivity. The company wanted to see if there was any real difference between A & B in terms of the number of errors experienced by the workers.

    Twenty workers were randomly selected from the workforce and were randomly allocated to two groups of 10. Group A trialed the Technology A and Group B trialed technology B. The number & type of errors each worker made was recorded. However because of an unforeseen breakdown in the system, only 6 of Group B workers were able to fully complete their trial – the data are given in Table 1 below and for the purposes of any statistical calculations; it can be assumed that the error data form a normal distribution.







    The data sheet is attached in the MS Word document.



    So the questions that I have are:
    For Null Alternative Hypothesis:
    I came up that the mean errors for group A will equal group B

    Alternative: Mean errors for group A will not equal group B




    What type of graph would best summarize the data? I'm confused as to what graph would be appropriate to represent the data.

    Also, how would i calculate the standard deviation for this. All of the data has a value of 1 - therefore, I'm getting a standard deviation of 0.


    In order to calculate the 95% confidence interval, should I use the 2 sample t confidence interval - if so, would I use the pooled one or the unpooled one?



    Finally, to carry out the statistical test, I chose to use the 2 sample t test.
    Was I correct?



    Any help will be greatly appreciated.








    Attached Files Attached Files
    Last edited by chicagomike; April 30th 2008 at 09:41 AM. Reason: Modification to the question
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by chicagomike View Post
    What type of graph would best summarize the data? I'm confused as to what graph would be appropriate to represent the data.

    Histograms of the number of operatives making 0-4, 5-9, 10-14, 15-29 errors?

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Take as your test statistic the mean number of erors made per operative, estimate the SD for the number of errors made by operatives from the samples and use a two sample t-test.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Statistics problem
    Posted in the Statistics Forum
    Replies: 1
    Last Post: August 16th 2010, 02:34 AM
  2. Statistics problem, can any one help?
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: December 26th 2009, 02:10 PM
  3. statistics problem
    Posted in the Statistics Forum
    Replies: 3
    Last Post: November 20th 2008, 01:16 AM
  4. Statistics Problem
    Posted in the Statistics Forum
    Replies: 7
    Last Post: March 31st 2008, 01:06 PM
  5. Statistics Problem
    Posted in the Statistics Forum
    Replies: 1
    Last Post: August 12th 2007, 04:13 AM

Search Tags


/mathhelpforum @mathhelpforum