As a a test of a new measurement process, 10 measurements are made on pieces of glass known to have conductivity 1. The average of the 10 measurements is 1.07.
Indicate whether 1 and 1.07 is a parameter or statistic and explain why.
I understand that 1.07 is a statistic. Please explain what 1 is and why. Thank you.
The value 1 is a parameter.
A parameter is a numerical value that describes a characteristic of a population. In this case, the population refers to all the pieces of glass with a conductivity of 1. Since the question states that the conductivity of the glass is known to be 1, this value is the true conductivity parameter for the population under consideration.
On the other hand, a statistic is a numerical quantity calculated from a sample. In this case, the average of the 10 measurements, which is 1.07, is a statistic. It is a summary measure derived from a subset (sample) of the population, not from the entire population itself.
In summary, the value 1 is a parameter because it represents the true conductivity of the population, while 1.07 is a statistic because it represents the average conductivity calculated from a sample.