the weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. what is the weight of a box of candies with a z-score of 2?

16 oz
18 oz
20 oz
22 oz

Question

the weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. what is the weight of a box of candies with a z-score of 2?

16 oz
18 oz
20 oz
22 oz

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": [ "Normal Distribution", "Z-Score Formula" ] } ## Identify the given parameters Using the *Z-Score Formula* knowledge point $$ \begin{aligned} &\mu = 16\text{ oz}\ &\sigma = 1\text{ oz}\ &z = 2 \end{aligned} $$ ## Calculate the target weight Using the *Z-Score Formula* knowledge point $$ \begin{aligned} &x = \mu + z \cdot \sigma\ &x = 16 + 2 \cdot 1 = 18\text{ oz} \end{aligned} $$

(A) 16 oz

(B) 18 oz

(C) 20 oz

(D) 22 oz

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

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QUESTION IMAGE

Question

Explanation:

Identify the given parameters

Calculate the target weight

Answer: