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 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 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 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

If a confidence interval is (24, 50), what is the margin of error (MOE)?

Audrey is ordering at Taco Bell. There is a 18% chance she will order a Quesadilla, a 87% chance she will order a Soft Taco, and a 7% chance she will order both a Quesadilla and a Soft Taco. (Give your answers in decimal form to represent probabilities. Round to 3 decimal places as needed.)   a. What is the probability that Audrey orders a Quesadilla or a Soft Taco? b. What is the probability that Audrey orders a Soft Taco but does not order a Quesadilla ?

Suppose two people are at a dinner party. There are 3 food options they can choose from – chicken (C), veggie (V), or steak (S). Choose the sample space for the possible food selections from these people.  Sample space =

Mia is considering what ice cream flavor to have for dessert. She has a 67% change of picking chocolate, a 32% chance of picking vanilla, and a 27% chance of picking both flavors.   Given that Mia chooses vanilla, what is the probability that she chooses chocolate? (Round to 3 decimals)

We have the following hypothesis test: Test if the average study time per week for UNF students is more than the national average of 13 hours.   a. Is this a left-tailed, right-tailed, or two-tailed test? b. Explain what it means to have a Type I error c. Explain what it means to have a Type II error

When building a confidence interval for a population mean, we use the Z-interval when: