Use the Student's tt-distribution to find the tt-value for each of the given scenarios. Round tt-values to four decimal places.Find the value of tt such that the area in the right tail of the tt-distribution is 0.0005, if the sample size is 130. t=Find the value of tt such that the area in the left tail of the tt-distribution is 0.01, if the sample size is 123. t=Find the value of tt such that the area in the right tail of the tt-distribution is 0.005, if the sample size is 136. t= Find the two values of tt such that 80% of the area under the tt-distribution is centered around the mean, if the sample size is 96. Enter the solutions using a comma-separated list. t=

a) Given Data sample size,n = 130 cumulative probability,p= 0.0005solution : Degree of freedom = 129 Now p(T > t)= 0.0005 p(T > 3.3675 )= 0.0005 ......using student t distribution table ) i.e t= 3.3675b) Given Data Degree of freedom = 122 cumulative probability,p= 0.01 Now p(T <t)= 0.01 p(T< -2.3573 )= 0.01 (......using student t distribution table ) i.e t= -2.3573c) Given Data Degree of freedom = 135 cumulative probability,p= 0.005 Now p(T > t)= 0.005 p(T > 2.6127 )= 0.005 ......using student t distribution table ) i.e t= 2.6127d) Given Data Degree of freedom = 95 cumulative probability,p= 0.8 Now p(-T < t < T )= 0.8 p(t<T)- p(t<-T)= 0.8 p(t<T)-[1-p(t<T)= 0.8 2p(t<T)-1= 0.8 2p(t<T)=1+ 0.8 2p(t<T)= 1.8 p(t<T)= 1.8 /2 p(t<T)= 0.9 p(t< 1.2905 )= 0.9 (.....using student t distribution table ) i.e T=+- 1.2905 t = -1.2905 , 1.2905

Answered: Use the Student's tt-distribution to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the Student's tt-distribution to find the tt-value for each of the given scenarios. Round tt-values to four decimal places.

Find the value of tt such that the area in the right tail of the tt-distribution is 0.0005, if the sample size is 130.

t=
Find the value of tt such that the area in the left tail of the tt-distribution is 0.01, if the sample size is 123.

t=
Find the value of tt such that the area in the right tail of the tt-distribution is 0.005, if the sample size is 136.

t=
Find the two values of tt such that 80% of the area under the tt-distribution is centered around the mean, if the sample size is 96. Enter the solutions using a comma-separated list.

t=