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

I need help with my homework.., Uh on my homework it says 6m = $5.76 and I ...

Uh on my homework it says 6m = $5.76 and I dont get it..

Triangles, if A be the area of a right triangle and b be one of the sides c...

if A be the area of a right triangle and b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2Ab/rootb^4+4A^2

Demonstrates that f ( x ) = 4 x5 + x3 + 7 x - 2 mean value, Demonstrates th...

Demonstrates that f ( x ) = 4 x 5 + x 3 + 7 x - 2 has accurately one real root. Solution From basic Algebra principles we know that since f (x) is a 5 th degree polynomi

Shortcuts of fraction and squareroot, I am student of M.com and also doing...

I am student of M.com and also doing practice to crack bank or other competitive exam..please tell me shortcuts

Substitution rule for definite integrals, Substitution Rule for Definite In...

Substitution Rule for Definite Integrals Now we need to go back and revisit the substitution rule as it also applies to definite integrals.  At some level there actually isn't

Calculate the gross pay, 1. Simon's monthly take home pay (after taxes) is ...

1. Simon's monthly take home pay (after taxes) is $2200, if he pays 19%  of his gross pay(before taxex) in tax, what is his gross pay? 2 . Convert the following quantities to th

Standard deviation, Certain model of new home distributed with a mean of $1...

Certain model of new home distributed with a mean of $150,000. Find percentage of buyers who paid between $150,000-155,000 if standard deviation is $1800.

Example of inflection point - set theory and calculus, Need help, Determine...

Need help, Determine the points of inflection on the curve of the function y = x 3

Control a liner interpolation between original mesh, Use your keyboard to c...

Use your keyboard to control a linear interpolation between the original mesh and its planar target shape a. Each vertex vi has its original 3D coordinates pi and 2D coordinates

Sets & relation.., the graph of relation y=f(x) respect to x=2 straight lin...

the graph of relation y=f(x) respect to x=2 straight line is symmetrical then which is correct; (option) a) f(x+2)=f(x_2),b)f(2+x)=f(2_x),c)f(x)=f(_x),d)f(x)=_f(_x)

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