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 know 1.07 is a statistic. Please explain what 1 is and why. Thank you
•math - PsyDAG, Wednesday, February 27, 2013 at 9:08pm
If it is from all previous pieces, then it is the measure of a population and therefore a parameter. If it is just based on a previous sample (part of a population), then it is a statistic.
•math - Please help, Wednesday, February 27, 2013 at 9:32pm
I understand the population = parameter and sample = statistic. I don't understand whether the "1" is referring to a population or just the 10 pieces.
"10 measurements are made on pieces of glass know to have conductivity "1."
is the "1" representing the population or just the 10 pieces/sample??
In the given context, the "1" represents the conductivity of the pieces of glass. However, it does not specify whether it is the conductivity of the entire population (all pieces of glass) or just the 10 pieces that were measured.
To determine whether the "1" is a parameter or a statistic, we need to understand the difference between the two terms.
A parameter is a characteristic or measure calculated from the entire population. It represents a true value that we want to estimate or know about the population.
A statistic, on the other hand, is a characteristic or measure calculated from a sample, which is a subset of the population. It is used to make inferences or predictions about the population.
In this case, if the "1" is the conductivity of all previous pieces of glass, then it is a parameter because it is the measure of the entire population. It represents the true value of conductivity for all the pieces of glass.
However, if the "1" is the conductivity of just the 10 pieces that were measured, then it is a statistic because it is calculated from a sample, not the entire population. It represents an estimate of the true value of conductivity for the entire population based on the 10 measurements.
Without further clarification, it is not possible to determine whether the "1" is a parameter or a statistic in this specific context.