question 34 points 2

consider the normal distribution of values with a mean of 42 and a standard deviation of 2. find the z score that a value is less than 46.8.

2.6
2.4

Question

question 34 points 2

consider the normal distribution of values with a mean of 42 and a standard deviation of 2. find the z score that a value is less than 46.8.

2.6
2.4

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": [ "Normal Distribution Properties", "Z-score Calculation" ], "new_concepts": [], "current_concepts": [ "Normal Distribution Properties", "Z-score Calculation" ] } ## Identify the given parameters Using the *Normal Distribution Properties* knowledge point $$ \begin{aligned} &\mu = 42\ &\sigma = 2\ &x = 46.8 \end{aligned} $$ ## Calculate the z-score Using the *Z-score Calculation* knowledge point $$ \begin{aligned} &z = \frac{x - \mu}{\sigma}\ &z = \frac{46.8 - 42}{2}\ &z = \frac{4.8}{2} = 2.4 \end{aligned} $$

(A) 2.6

(B) 2.4

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

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QUESTION IMAGE

Question

Explanation:

Identify the given parameters

Calculate the z-score

Answer: