Figure 1a shows the response of a process to a setpoint (SP)…

Figure 1a shows the response of a process to a setpoint (SP) increase of 5°C for two sets of controller tuning parameters. Figure 1b shows the response of the same process with the same two sets of controller tuning parameters in response to a disturbance. Curve A has Kc and τI values tuned for the performance objective of quarter amplitude decay ratio. Curve B is tuned for the performance objective of minimal overshoot. Answer the following questions based on Figure 1. Figure 1

A temperature sensor is equilibrated in a liquid bath 1. At…

A temperature sensor is equilibrated in a liquid bath 1. At time zero, it is rapidly moved to liquid bath 2. The following observations were made: It took 15.0 seconds for the temperature to decrease by 31.6 deg C; The sensor read 40.0 °C after 24.0 seconds; and, The temperature reading had decreased by 50 deg C after the final steady state had been reached. What was the temperature of bath 1? 

A homeowner is interested in the average cost of all bathroo…

A homeowner is interested in the average cost of all bathroom remodels. The homeowner has seen that the average cost is $10,750. The homeowner believes that the average cost of a bathroom model is more than this value. They randomly select 41 bathroom remodel costs, and they find that the average cost was $10,900 with a standard deviation of $450. Use a 5% level of significance to test the homeowner’s belief.   State the hypotheses:

A homeowner is interested in the average cost of all bathroo…

A homeowner is interested in the average cost of all bathroom remodels. The homeowner has seen that the average cost is $10,750. The homeowner believes that the average cost of a bathroom model is more than this value. They randomly select 41 bathroom remodel costs, and they find that the average cost was $10,900 with a standard deviation of $450. Use a 5% level of significance to test the homeowner’s belief.   The p-value is