No..!!!
correct me if i'm wrong.

20 to 22 test cases, may be

a person writes 25 to 30 test cases per day
 a person executes 20 to 25 test cases per day

it depends on size and deadline of the project.when i 
project is given for testing the testers are apponited for 
that project and when the test plan is created it also has 
the information about how to test when to test wahat to 
test.here the test lead might make an approximate guess 
about the testing of the poject so he knows how many test 
cases can be wriiten per day to complete the project which 
is free from defects but even then no specific target is 
given for the testers per day but test lead will look for 
the completion of modules acording to daywise and at the 
end of the day it all depends how wel u checked each 
funtionality

The number of test cases written per day depends on the 
functionality.If functionality is not complex and critical 
you can more number of test cases.