How do I solve this Please show steps and maybe calculator T

How do I solve this? Please show steps and maybe calculator TI-84 solution

An inspector of flow metering devices used to administer fluid intravenously will perform a hypothesis test to determine whether the mean flow rate is different from the flow rate setting of 200 milliliters per hour. Based on prior information the standard deviation of the flow rate is assumed to be known and equal to 14 milliliters per hour. For the sample size n = 20, and a = 0.05, find the probability of a type II error if the true mean is 205 milliliters per hour. Round the final answer to four decimal places (e.g. 98.7654). Give your answer. Beta = [ ]

Solution

?=205(true mean)?=12a. n = 20Test statistics is P(Type II error)=P(Z>-1.86)=1-P(Z<-1.86)=0.9686 (check normal table)b. n = 50Test statistics is P(Type II error)=P(Z>-2.95)=1-P(Z<-2.95)=0.9984 (check normal table)c. n = 100Test statistics is P(Type II error)=P(Z>-4.17)=1-P(Z<-4.17)=0.9999 (check normal table)d. Does the probability of type IIerror increase or decrease as the sample size increases? Explain your answerType II error increases as the sample sizeincreases