Test the Following Sequence of Values for Randomness with Respect

question 3

Multiple Choice

Test the following sequence of values for randomness with respect to being above or below the median.
4 6 3 8 5 7 5 7 3 7 9 1 3 8 5
Table of Critical Values for the Number of Runs, α = 0.05
Value of
N₁
Value of n₂
4
5
6
7
6
2
9
3
10
3
11
3
12
7
2
10
3
11
3
12
3
13
8
3
10
3
11
3
12
4
13

• A) Reject the hypothesis that the sequence is random, because the test value 8 is between the critical values 3 and 12
• B) Reject the hypothesis that the sequence is random, because the test value 7 is between the critical values 3 and 11
• C) Do not reject the hypothesis that the sequence is random, because the test value 8 is between the critical values 3 and 11
• D) Do not reject the hypothesis that the sequence is random, because the test value 7 is between the critical values 3 and 12

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Definitions:

Grammar

A system of rules that produces well-formed, or “legal,” entities such as sentences of a language.

Francis Galton

A 19th-century British polymath who made significant contributions to fields such as statistics, psychology, and anthropology, and is known for his studies on heredity and human intelligence.

Inheritability

The proportion of variation among individuals in a population that is due to genetic factors.

Intellectual Abilities

The capacity to engage in abstract thinking, understand complex ideas, solve problems, and learn from experience.