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Indicate whether the statement is true or false. x and p are statistics. The sta

ID: 3200913 • Letter: I

Question

Indicate whether the statement is true or false. x and p are statistics. The standard deviation of the distribution of p decreases as n increases. The distribution of p will always have the same shape as the distribution of the population being sampled. The closer p is to 0 or 1, the larger n must be in order for the distribution of p to be approximately normal. Using an unbiased statistic guarantees that there will be no systematic tendency to under- or overestimate the value of the population characteristic and that estimates will almost always be relatively close to the true value.

Explanation / Answer

16) false: xbar is a statistic while p is a parameter cause it belongs to population while xbar belongs to sample

17) true as standard devition of phat =std deviation of p/(n)1/2

18) false; this depends on sample size and sample quality,

19)true as sample size is proportional to p(1-p)

20) true; as unbaised statistic is prone to deal the sample with fairness,