command "jobs" cannot see the stopped jobs

I have wrote a very simple shell script to practice command "bg" , "fg" and "jobs":

#!/bin/bash

myvar=1
while [ $myvar -le 100000000 ]
do
    echo $myvar
    myvar=$(( $myvar + 1 ))
done

I use SecureCRT to connect a ubuntu machine.I have cloned several tab which is connected to this machne.

When I get the process pid and use kill -19 pid to suspend it , and I run jobs to see if it has become a background job, yes it is:

imcas@ubuntu:/home/wuchang$ jobs
[1]+  Stopped                 bash testShell

but what is strange is ,when I run command jobs in another tab of SecureCRT,I cannot see the stopped job:

imcas@ubuntu:/$ jobs
imcas@ubuntu:/$ jobs
imcas@ubuntu:/$ 

Anyone can explain this for me?