Several possibilities:
Cron doesn't pass a full user environment to scripts run under cron. So vars like $PATH can be different running under cron than running in a user terminal.
Cron requires a newline at the end of every line, so always keep a blank line at the end of the crontab file.
You have quite a few extra quote marks in there. Especially the ones around
"/usr/bin/mysql".
Maybe specify the full paths in the script, and see if that works to start with.
#!/bin/bash
statfile=/tmp/mysql_repl_status.txt
/bin/date > $statfile
cd /usr/bin
/usr/bin/mysql -e "SHOW SLAVE STATUS \G" >> $statfile
/bin/mail -s "Netspective MySQL Replication Status" [email protected] < $statfile
Maybe the reduced shell in cron doesn't like the cd /usr/bin command, so you could try changing that to something like cd /usr/bin && /usr/bin/mysql -e "SHOW SLAVE STATUS \G" all on one line. Although, I've never known mysql to have a dependency on being run from /usr/bin.