A neuologist the number of neurons in CAI region of the hipp

A neuologist the number of neurons in CAI region of the hippocampus in the brain of eight persons who had died of cause unrelated to brain function. She investigated the relationship between neuron frequency and age at death, and obtained a test statistic r = 0.63. Use hypothesis testing (non-directional) to examine these data with a=0.10.

Solution

Set Up Hypothesis
Null, H0: =0
Alternate, H1: !=0
Test Statistic
Value of ( r ) =-0.63
Number (n)=8
we use Test Statistic (t) = r / Sqrt(1-r^2/(n-2))
to=-0.63/(Sqrt( ( 1--0.63^2 )/(8-2) )
to =-1.99
|to | =1.99
Critical Value
The Value of |t | at LOS 0.1% is 1.943
We got |to| =1.99 & | t | =1.943
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho