Properties of t distribution, Mathematics

Assignment Help:

Properties of t distribution

1. The t distribution ranges from - ∞ to ∞ first as does the general distribution

2. The t distribution as the standard general distribution is bell shaped and symmetrical around mean zero

3. The shapes of the t distribution changes like the number of degrees of freedom changes

4. The t distribution is more platykurtic that the normal distribution

5. The t distribution has a greater dispersion than the standard general distribution. Like n gets larger the t distribution approaches the general distribution while n = 30 the difference is extremely small

 Relation among the t distribution and standard general distribution is displayed in the given diagram

1649_Properties of t distribution.png

 Note that the t distribution has different shapes depending on the size of the sample. When the sample is rather small the height of the t distribution is shorter than the general distribution and the tails are wider.


Related Discussions:- Properties of t distribution

Pre calc, - Find the total surface area of a frustum of a cone. (Include to...

- Find the total surface area of a frustum of a cone. (Include top and bottom). The equation that I have for volume is v=1/3 pi x h(r^2+rR+R^2) -the equation that I have found fo

Basic requirement for interpolation & extrapolation to work, What is the ba...

What is the basic requirement for both interpolation and extrapolation to work?  There must exist a functional relationship between an independent variable and a dependent variable

Find the volume of water left in the cylindrical tub, A solid is in the for...

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is placed in a cylindr

Transportation problem, matlab code for transportation problem solved by vo...

matlab code for transportation problem solved by vogel''s approximation method

How many rolls will she required to purchase, Karen is buying a wallpaper b...

Karen is buying a wallpaper border for her bedroom, that is 12 ft by 13 ft If the border is sold in rolls of 5 yards each, how many rolls will she required to purchase? The dis

Transition matrix for the probabilitiy, Suppose research on three major cel...

Suppose research on three major cell phones companies revealed the following transition matrix for the probability that a person with one cell phone carrier switches to another.

Sum and difference identities, Q. Sum and Difference Identities? Ans. ...

Q. Sum and Difference Identities? Ans. These six sum and difference identities express trigonometric functions of (u ± v) as functions of u and v alone.

An initial species population , An initial species population is y(0) = 300...

An initial species population is y(0) = 3000. At t=0 the population starts to grow exponentially with a doubling time of 2 years. Mark the only correct statement: a)    The per

Integration by parts -integration techniques, Integration by Parts -Integra...

Integration by Parts -Integration Techniques Let's start off along with this section with a couple of integrals that we should previously be able to do to get us started. Fir

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd