Question

1.when the sample mean is close to the population mean , the sampling error is

a. larger
b. smaller
c. equals to 1
d. none of the above is correct

2. when the sample size increases, the dispersion among the sample means

a. increases
b. decreases
c. remain the same
d. depends upon the specific population being sampled

Answer 1

when the sample mean is close to the population mean , the sampling error is

b. smaller (correct option)

As as the sample mean and population mean come close to each other the difference between those decreases and eventually when they gets equal the sampling error become zero

2. when the sample size increases, the dispersion among the sample means

b. decreases (is the correct option)

As the number of samples increases that is the no. of sample size increase as a result , the variability or the scatterness of each sampling distribution decrease and become more leptokurtic and as the sample size decrease the scatterness also decrease .

Actually the spread is smaller for larger samples so the variability of sample means decrease as sample size increase