2. a hot tub manufacturer wants the thermostat to control water temperature to within one degree when set at 130 degrees fahrenheit. they randomly select 10 hot tubs, set the thermostats to 130, and record the following data with an infrared thermometer that has recently been calibrated. temp 129.9 129.7 130.2 129.7 129.8 130 129.6 131 130.3 129.8 a. using the data above, determine whether the hot tub manufacturer is meeting its temperature control standard? (12points) b. what is the process capability index? (4points) c. what precision statement can you make from part "a and b" (2point) 3. using the data in question 2, what precision statement would you make @ 99.7% confidence if the process is in control. (14points