If two tailed or one tailed should be used to test Hypothesis

Question

The production rate of a Company has been normally distributed over a period of time. The mean production rate is 100 pieces per day and standard deviation is 9.Recently the board of management introduced new production methods to improve the production rate.Management wants to test whether the production rate is increased or not.
In order to test the hypothesis, the production rates during 100 production shifts are analyzed. It was found that mean production rate is 104.
Take the level of significance is 0.01

So far i have from two tailed test

level of confidence : 99%
Critical value =0.005

$z = \frac{(104 -100) * 10}{9} = 4.444 $

z value for $H_{0} = 2.575 $
Therefore $H_{0} \ $can be rejected.

Im really new to this lesson and really bad in deciding if it shouldbe one tailed or two tailed. Is it correct and if im wrong can someone point me in the correct direction? Thanks.

Answer 1

You write

Management wants to test whether the production rate is increased or not.

so $H_1$ is $\mu > \mu_0$.