Use the Runs Test to Determine Whether the Given Sequence

question 33

Essay

Use the runs test to determine whether the given sequence is random. Use a significance level of 0.05. Test the sequence of digits below for randomness above and below the value of 4.5. $\begin{array} { l l l l l l l l l l } 0 & 4 & 7 & 3 & 6 & 0 & 9 & 7 & 4 & 8 \\7 & 2 & 8 & 5 & 7 & 3 & 9 & 6 & 4 & 6 \\4 & 7 & 9 & 1 & 6 & 1 & 9 & 5 & 8 & 3 \\7 & 8 & 5 & 7 & 3 & 5 & 2 & 9 & 3 & 8\end{array}$

---

Definitions:

Gender Typing

the process by which a child becomes aware of their gender and thus begins to enact the roles and behaviors that society deems appropriate for that gender.

Social Modesty

The behavior of minimizing one's own accomplishments or qualities in a social context to avoid offending or overshadowing others.

Secondary Sex Characteristics

Physical features that differentiate the sexes but are not directly involved in reproduction, such as breast development or facial hair.

Quality of Researcher

A measure of a researcher's expertise, productivity, and impact in their field of study.