You are hired to inspect a flow metering device. You want to test whether the mean flow rate of the device is different from 150 ml/hr at a significance level of 0.05. It is known that the flow rate...

Extracted text: You are hired to inspect a flow metering device. You want to test whether the mean flow rate of the device is different from 150 ml/hr at a significance level of 0.05. It is known that the flow rate follows a normal distribution with a standard deviation of 12 ml/hr. The sample mean of 30 measurements is 156 ml/hr. (Reminder: show your work/justification for all answers.) a. The value of the test statistic is Round to 2 decimal places. b. Is this a two-sided or one-sided test? Write "two" or "one". c. Should your reject the null hypothesis? Write "reject" or "not reject". d. Find the probability of a type Il error if the true mean is 155 ml/hr. Round to 2 decimal places. e. Find the approximate sample size to detect the mean difference of at least 5 ml/hr with 80% probability. f. Does the probability of a type Il error increase or decrease as the sample size increases? Write "increase" or "decrease".