(I the Standard Error of the Mean Is the Standard

question 27

Multiple Choice

(i. The standard error of the mean is the standard deviation of the sampling distribution of the
Sample means.
(ii. The standard deviation of the sampling distribution of the mean is always larger than the
Standard deviation of the population under study.
(iii) For a sampling distribution of the means, 95% of the means would be between ± 1.96 standard
Deviations.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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Definitions:

Nonparametric Tests

Statistical tests that do not assume the data come from a particular distribution, often used when dealing with ordinal data or when the normality assumption is violated.

Parametric Tests

Statistical tests based on assumptions about the population distribution from which the sample is drawn, typically involving parameters like mean and standard deviation.

Normal Approximation

A method used to estimate the shape of a binomial distribution using a normal distribution when the sample size is large.

Sign Test

A non-parametric test used to determine if there is a statistically significant difference between paired or matched samples by examining the signs of differences without assuming any particular distribution.