Please solve it with process, thanks!(Ignore the option I have chose in Concluding Statement.)

Dishwasher powder is poured into the cartons by an automatic dispensing machine which is set to dispense 3kg of powder into each carton. In order to check that the machine is dispensing the correct amount, a production engineer takes a random sample of 40 cartons and weighs them. It is found that the mean weight of the sample is 3.006kg. Suppose that the machines are carefully calibrated to dispense powder with a standard deviation of 12g [Warningz be careful of the measurement units]. Perform an appropriate Ztest to evaluate whether the dispensing machine is operating to the designed specifications. The manufacturer of the dishwasher powder is willing to rely on a 5% level of significance. Hypotheses:H0: #23 vs H1: y' '3 7E Decision Rule: What is the critical value from the normal distribution that defines the critical region for this hypothesis test? Give a positive number to 2 decimal places. E Evidence: Compute the observed test statistic and report your value to 2 decimal places. E Concluding Statement: Select one of the following: 0 Reject the null hypothesis Fail to reject the null hypothesis O Accept the null hypothesis O Fail to accept the alternative hypothesis