i. An estimate of the population mean based on a large sample is less reliable than an estimate made using a small sample.
Ii) The standard error of the mean will vary according to the size of the sample that is in the denominator. As the sample size n gets larger, the variability of the sample means gets smaller.
Iii) To determine the value of the standard error of the mean, the total error is divided by the sample size.
A) (i), (ii) and (iii) are all correct statements
B) (i) is a correct statement, but not (ii) or (iii).
C) (ii) is a correct statement, but not (i) or (iii).
D) (ii) and (iii) are correct statements but not (i).
E) All statements are false

Question

Quizplus · Accepted Answer

Statement (ii) is correct because the standard error of the mean decreases as the sample size increases, making the estimate more reliable. Statement (i) is incorrect because a larger sample size generally provides a more reliable estimate of the population mean. Statement (iii) is incorrect because the standard error is calculated by dividing the standard deviation by the square root of the sample size, not the total error.

I an Estimate of the Population Mean Based on a Large