Test the Following Sequence of Values for Randomness with Respect $\begin{array} { l l l l l l l l l l l l l l l } 4 & 6 & 3 & 8 & 5 & 9 & 5 & 7 & 3 & 7 & 9 & 1 & 3 & 8 & 6 \end{array}$

question 6

Multiple Choice

Test the following sequence of values for randomness with respect to being above or belowthe median.
$\begin{array} { l l l l l l l l l l l l l l l } 4 & 6 & 3 & 8 & 5 & 9 & 5 & 7 & 3 & 7 & 9 & 1 & 3 & 8 & 6 \end{array}$
Table of Critical Values for the Number of Runs, $\alpha = 0.05$
$\begin{array}{c|cccc}\text { Value of } & {\text { Value of } \boldsymbol{n}_{\mathbf{2}}} \\\boldsymbol{n}_{\mathbf{1}} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} \\\hline & 2 & 3 & 3 & 3 \\\mathbf{6} & 9 & 10 & 11 & 12 \\& 2 & 3 & 3 & 3 \\\mathbf{7} & 10 & 11 & 12 & 13 \\& 3 & 3 & 3 & 4 \\\mathbf{8} & 10 & 11 & 12 & 13\end{array}$

• A) Do not reject the hypothesis that the sequence is random, because the test value 6 is between the critical values 3 and 13
• B) Reject the hypothesis that the sequence is random, because the test value 6 is between the critical values 3 and 12
• C) Reject the hypothesis that the sequence is random, because the test value 10 is between the critical values 3 and 13
• D) Do not reject the hypothesis that the sequence is random, because the test value 10 is between the critical values 3 and 12

Match data sets with appropriate visual representations like histograms or boxplots.

Distinguish between the characteristics of different distributions (e.g., skewness, bimodality) using both graphical representations and summary statistics.

Interpret quartiles and interquartile ranges from boxplots.

Understand and apply the concepts of mean, median, mode, and range in various contexts.

---

Definitions:

Pentapeptide

A peptide made up of five amino acids linked together by peptide bonds, often involved in biological signaling processes.

Monosaccharide

The simplest form of carbohydrates, consisting of a single sugar molecule such as glucose or fructose, and serving as a fundamental energy source for living organisms.

Glucose

A simple sugar with the formula C6H12O6 that is an important energy source in living organisms and a component of many carbohydrates.

O-linked Glycosidic Bond

An O-linked glycosidic bond is a type of covalent bond that connects a sugar molecule to another molecule via an oxygen atom.