Give a Verbal Description of the Subset of Real Numbers

question 562

Multiple Choice

Give a verbal description of the subset of real numbers represented by the inequality, and sketch the subset on the real number line. ​
0 < x ≤ 8
​

• A)0 ≤ x ≤ 8 denotes the set of positive real numbers less than or equal to 8.
• B)0 < x > 8 denotes the set of positive real numbers greater than 8.
• C)0 < x < 8 denotes the set of positive real numbers less than 8.
• D)0 < x ≥ 8 denotes the set of positive real numbers greater than or equal to 8.
• E)0 < x ≤ 8 denotes the set of positive real numbers less than or equal to 8.

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Definitions:

Null Hypothesis

A statement positing that there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.

Probability

A measure of the likelihood that an event will occur, quantified between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Null Hypothesis

A type of hypothesis used in statistics that suggests there is no significant difference or effect in a particular condition, serving as a default position until evidence suggests otherwise.

P < .05

A statistical threshold indicating that the probability of observing the obtained result, or more extreme, if the null hypothesis is true, is less than 5%.