Results 1 to 2 of 2

Math Help - urgent HELP

  1. #1
    Newbie
    Joined
    Jul 2007
    Posts
    5

    urgent HELP

    The customer services manager of a bank wants to estimate the true average time it takes for a teller to serve a customer. A random sample of the service time for 14 individual customers is collected. The results are listed as follows (in minutes):
    1.7 1.9 1.7 1.5 1.6 1.4 1.6 1.0 1.0 2.0 1.3 1.2 0.8 2.3


    a With respect to the above given information:
    i Explain why a Student’s t distribution should be used in constructing a confidence interval for the true average amount of time it takes to serve a customer. What assumption(s) must be made initially?
    ii State the condition(s) when a normal distribution can be used instead.
    b Find a 90% confidence interval estimate for the true average time it takes to serve a customer. Keep your final answers to two decimal places.
    c Given that the service times are normally distributed and the population standard deviation is known to be 0.45 minutes, what sample size is required if the manager wishes to be 98% confident that the sample average is correct to within ±0.2 minutes of the true average service time?
    --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
    A digital camera manufacturer is choosing between two brands of rechargeable battery to be used in its latest model to be released this fall. To compare the durability, ten batteries of each of the two brands were
    randomly selected. After being fully charged, the standby times of the ten batteries selected for each brand were recorded as follows:
    BRAND A 91 99 103 94 129 87 118 85 84 82

    BRAND B 98 103 108 107 96 109 90 87 121 94

    a At the 5% level of significance, test whether there is any difference in
    the variance of the standby times between the batteries of the two brands.

    b At the 5% level of significance, test whether there is any difference in the average standby time between the batteries of the two brands.
    What assumption(s) must be made?
    --------------------------------------------------------------------------------------------------------------------------------------------

    The buyers of a brand of smart phone were asked to mail a registration card in order to put a one-year warranty into effect. The card contains several questions relating to the purchase. From a large number of these registration cards, a random sample of 130 is drawn. The following table


    summarizes the results regarding which feature of the smart phone the purchasers like most and the model being purchased:

    -----------------------MODEL
    FEATURE --------------A B C
    EASY TO USE--------- 9 7 12
    APPEARANCE --------14 13 194
    CONNECTIVITY-------- 8 7 10
    RESOLUTION 10 12 9








    At a 5% level of significance, test whether the two variables: Feature and
    Modelare independent or not.

    Last edited by scoutdundun; July 11th 2007 at 02:24 PM.
    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 scoutdundun View Post
    The customer services manager of a bank wants to estimate the true average time it takes for a teller to serve a customer. A random sample of the service time for 14 individual customers is collected. The results are listed as follows (in minutes):
    1.7 1.9 1.7 1.5 1.6 1.4 1.6 1.0 1.0 2.0 1.3 1.2 0.8 2.3


    a With respect to the above given information:
    i Explain why a Student’s t distribution should be used in constructing a confidence interval for the true average amount of time it takes to serve a customer. What assumption(s) must be made initially?
    ii State the condition(s) when a normal distribution can be used instead.
    b Find a 90% confidence interval estimate for the true average time it takes to serve a customer. Keep your final answers to two decimal places.
    c Given that the service times are normally distributed and the population standard deviation is known to be 0.45 minutes, what sample size is required if the manager wishes to be 98% confident that the sample average is correct to within ±0.2 minutes of the true average service time?


    i. Students-t because you are dealing with a small sample and unknown variance, the assumption that you have to make is that the underlying distribution of service times in normal.

    ii. Known variance, or large sample (what large means depends on the precission you are working to, but lage is generally >100, maybe >120.

    See the Wikipedia article here.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Urgent!!!help with attempted questions - urgent
    Posted in the Statistics Forum
    Replies: 2
    Last Post: February 28th 2010, 01:29 AM
  2. Please help!! very urgent
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 19th 2009, 12:29 AM
  3. I need urgent urgent hel with this parabola question
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: December 14th 2008, 05:48 PM
  4. Very urgent!
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 30th 2008, 02:01 PM
  5. Urgent HW help
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: March 14th 2008, 06:52 AM

Search Tags


/mathhelpforum @mathhelpforum