a poll worker analyzing the ages of voters found that $\mu = 65$ and $\sigma = 5$. what is a possible voter age that would give her $z_x = 1.14$? round your answer to the nearest whole number.

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Question

a poll worker analyzing the ages of voters found that $\mu = 65$ and $\sigma = 5$. what is a possible voter age that would give her $z_x = 1.14$? round your answer to the nearest whole number.

59
66
71
90

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Z-Score Formula" ], "new_concepts": [], "current_concepts": [ "Z-Score Formula" ] } ## Set up the z-score equation Using the *Z-Score Formula* knowledge point $$ z = \frac{x - \mu}{\sigma} $$ ## Substitute the given values Using the *Z-Score Formula* knowledge point $$ 1.14 = \frac{x - 65}{5} $$ ## Solve for the voter age x Using the *Z-Score Formula* knowledge point $$ \begin{aligned} x - 65 &= 1.14 \cdot 5 \ x - 65 &= 5.7 \ x &= 70.7 \end{aligned} $$ ## Round to the nearest whole number Using the *Z-Score Formula* knowledge point $$ x \approx 71 $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Z-Score Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the z-score equation

Substitute the given values

Solve for the voter age x

Round to the nearest whole number

Answer: