Question

1. As sample size, n, increases...

a) Do you expect the likelihood of selecting cases or observations with extreme/outlying values to decrease, stay the same, or increase? Explain briefly.

b) Do you expect the range of sample values to decrease, stay the same, or increase? Explain briefly.

c) Do you expect the sampling error to decrease, stay the same, or increase? Explain briefly.

Answer 1

​​​​​​a) as sample size n increases, the number of outlier observations decreases.

Because, large sample size increases the the chance of repeated usual values & decreases the probability of outliers

Answer : Decreases

b) as sample size n increases, the range of sample values decreases.

because, large sample size decreases the chance of extreme values .

Answer : Decreases

c) as sample size n increases, the sampling error decreases.

because, large sample size decreases the standard deviation of the data.

Answer: Decreases