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:

Questionnaire

A research instrument consisting of a series of questions for the purpose of gathering information from respondents.

Data

Refers to qualitative or quantitative variables collected for analysis and used to make decisions or conclusions.

Findings

Conclusions or results discovered from research, experiments, or inquiries, regarded as significant insights or evidence.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation.