What's wrong? State what is wrong in each of the following scenarios?
a) A parameter describes a sample.
b) Bias and variability are two names of the same thing.
c) Large samples are always better than small samples.
d) A sampling distribution is something generated by a computer.
a)
A Parameter describes the “population" and not a sample.
b)
Bias indicates the magnitude of a deviation of the estimated statistic from the mean value.
Variability refers to the spread of the sampling distribution of statistics.
c)
Large samples are better than small samples but not always. Large samples reduce the variability of sampling distribution but the cost of large samples is high as compared to small samples. So, for low budget situation, small samples are better than the large samples.
d)
It is not necessary that the sampling distribution is always generated by a computer. The sampling distribution can also be generated manually from the process of various sampling techniques.
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