Answer :
The Cp and Cpk values indicate that the process is capable of meeting the specifications for relative humidity in the greenhouse.
What is relative humidity?
The amount of water vapor in the air as compared to the maximum amount that it can contain at a certain temperature is known as relative humidity. It is computed as a percentage by dividing the actual amount of water vapor in the air by the maximum amount of water vapor the air can contain at the same temperature, then multiplying the result by 100. For instance, if the air can hold 10 grams of water vapor at a certain temperature and there are only 5 grams of water vapor present, the relative humidity would be 50%. High relative humidity can be uncomfortable and promote the development of mold and other microorganisms.
How to solve?
The mean is (60+78+70+84+81+80+85+60+88+75)/10 = 76.8
The standard deviation is sqrt(((60-76.8)^2+(78-76.8)^2+(70-76.8)^2+(84-76.8)^2+(81-76.8)^2+(80-76.8)^2+(85-76.8)^2+(60-76.8)^2+(88-76.8)^2+(75-76.8)^2)/10) = 6.9
Cp = (85-65)/(66.9) = 0.56
Cpk = min((85-76.8)/(36.9), (76.8-65)/(36.9)) = min(0.86, 0.71) = 0.71
The Cp and Cpk values indicate that the process is capable of meeting the specifications for relative humidity in the greenhouse.
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