use the information in the table to complete the statements.

about 68% of sixth-grade students will have heights between inches and inches.

Question

use the information in the table to complete the statements.

about 68% of sixth-grade students will have heights between   inches and   inches.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Normal Distribution", "Standard Deviation Interval" ], "new_concepts": [], "current_concepts": [ "Normal Distribution", "Standard Deviation Interval", "Empirical Rule" ] } ## Identify given parameters Using the *Normal Distribution* knowledge point $$ \begin{aligned} \mu &= 58\text{ inches} \ \sigma &= 2.3\text{ inches} \end{aligned} $$ ## Apply the Empirical Rule Using the *Standard Deviation Interval* knowledge point $$ \begin{aligned} \text{Interval} &= [\mu - \sigma, \mu + \sigma] \ \text{Lower Bound} &= 58 - 2.3 = 55.7 \ \text{Upper Bound} &= 58 + 2.3 = 60.3 \end{aligned} $$ Use the information in the table to complete the statements. About 68% of sixth-grade students will have heights between 55.7 inches and 60.3 inches. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Empirical Rule" ] }

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Question

Explanation:

Identify given parameters

Apply the Empirical Rule

Answer: