Q. 67 One major reason that the two-sa... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 10: Q. 67 (page 659)

One major reason that the two-sample t procedures are widely used is that they are quite robust. This means that
(a) t procedures do not require that we know the standard deviations of the populations.
(b) t procedures work even when the Random, Normal, and Independent conditions are violated.
(c) t procedures compare population means, a comparison that answers many practical questions.
(d) confidence levels and P-values from the t procedures are quite accurate even if the population distribution is not exactly Normal.
(e) confidence levels and P-values from the t procedures are quite accurate even if outliers and strong skewness are present

Short Answer

Expert verified

One major reason that the two-sample t procedures are widely used is option (d) confidence levels and P-values from the t procedures are quite accurate even if the population distribution is not exactly Normal.

Step by step solution

Concept introduction

When the sample size is big, often above 40 observations, the t methods can be employed even for strongly skewed distributions. It's a parametric test of difference, which means it's based on the same data assumptions as other parametric tests.

Explanation

"Robust" signifies that even if all prerequisites aren't met, the findings remain correct.

The Normal condition is the most significant requirement for the two-sample t methods.

If the population distribution is not quite Normal, excessively skewed, or contains outliers, the Normal criterion is not met.

Because two-sample t procedures are heavily influenced by strong skewness and outliers, robust two-sample t procedures mean that the findings of the two-sample t procedures remain correct even if the population distribution is not quite normal.