select the correct answer.

a population has a standard deviation of 7.89. what is the approximate standard error of the mean for a sample size of 300?

17.32
0.46
0.026
2.20

Question

select the correct answer.

a population has a standard deviation of 7.89. what is the approximate standard error of the mean for a sample size of 300?

17.32
0.46
0.026
2.20

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Standard Error" ], "new_concepts": [], "current_concepts": [ "Standard Error", "Sampling Distribution" ] } ## Identify given values and formula $$ \begin{aligned} \sigma &= 7.89 \ n &= 300 \ \text{SE} &= \frac{\sigma}{\sqrt{n}} \end{aligned} $$ ## Calculate the standard error $$ \begin{aligned} \text{SE} &= \frac{7.89}{\sqrt{300}} \ \text{SE} &\approx \frac{7.89}{17.3205} \ \text{SE} &\approx 0.4555 \end{aligned} $$ ## Match with options $$ \text{SE} \approx 0.46 $$

(A) 17.32

(B) 0.46

(C) 0.026

(D) 2.20

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Standard Error" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify given values and formula

Calculate the standard error

Match with options

Answer: