Dr Nick

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About Dr Nick

Levels Tought:
Elementary,Middle School,High School,College,University,PHD

Expertise:
Art & Design,Computer Science See all
Art & Design,Computer Science,Engineering,Information Systems,Programming Hide all
Teaching Since: May 2017
Last Sign in: 249 Weeks Ago, 2 Days Ago
Questions Answered: 19234
Tutorials Posted: 19224

Education

  • MBA (IT), PHD
    Kaplan University
    Apr-2009 - Mar-2014

Experience

  • Professor
    University of Santo Tomas
    Aug-2006 - Present

Category > Statistics Posted 10 Nov 2017 My Price 13.00

the population has a normal distribution.

No. You should use student's t-test.

I'm assuming the population has a normal distribution. The statistic used in the z-test rely on the population standard deviation, so you should use student's t-test, wich depends on the sample standard deviation instead.

The statistic for student's t-test is ##\frac{\barX - \mu_0}{S/\sqrtn## , wich has a t distribution with ##n-1## degrees of freedon.

Also note that since the t-distribution converges to a normal distribution when ##n## goes to infinite, if you have a large sample, you can perform t-test similar to the z-test, as the test statistic will have normal distribution.

Answers

Dr Nick
(3)
Status NEW Posted 10 Nov 2017 11:11 AM My Price 13.00

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