Each Side of a Standard Six-Sided Die Should Appear Approximately $$\frac { 1 } { 6 }$$

question 61

Multiple Choice

Each side of a standard six-sided die should appear approximately $$\frac { 1 } { 6 }$$ of the time when the die is rolled. A player suspects that a certain die is loaded. The suspected die is rolled 90 times. The results are shown below.
Find the critical value χ $$x _ { 0 } ^ { 2 }$$ to test the playerʹs claim. Use $$\alpha = 0.10 .$$ $$\begin{array} { l | c c c c c c } \text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Frequency } & 11 & 15 & 12 & 16 & 17 & 19\end{array}$$

• A)9.236
• B)1.610
• C)12.833
• D)11.071

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Definitions:

Convenience Sampling

A nonprobability method of sampling whereby elements are selected for the sample on the basis of convenience.

Nonprobabilistic Sampling

A sampling method where the elements of the population do not have a known or equal chance of being selected.

Probabilistic

Pertaining to the use of or grounded in the theory of probability and the randomness of outcomes.

Stratified

A sampling method that involves dividing a population into smaller groups, known as strata, that share similar characteristics.