type the correct answer in the box. use numerals instead of words.

a track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. the population mean is 62.95 inches with a standard deviation of 5.65 inches.

what is the standard error of the sample mean? round your answer to the nearest hundredth.

the standard error of the sample mean is approximately .

Question

type the correct answer in the box. use numerals instead of words.

a track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. the population mean is 62.95 inches with a standard deviation of 5.65 inches.

what is the standard error of the sample mean? round your answer to the nearest hundredth.

the standard error of the sample mean is approximately  .

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Standard Error" ], "new_concepts": [], "current_concepts": [ "Standard Error", "Central Limit Theorem" ] } ## Identify the given parameters $$ \begin{aligned} n &= 52 \ \mu &= 62.95 \ \sigma &= 5.65 \end{aligned} $$ ## Calculate the standard error of the mean $$ \begin{aligned} \text{SE} &= \frac{\sigma}{\sqrt{n}} \ \text{SE} &= \frac{5.65}{\sqrt{52}} \ \text{SE} &\approx \frac{5.65}{7.2111} \ \text{SE} &\approx 0.7835 \end{aligned} $$ ## Round to the nearest hundredth $$ \text{SE} \approx 0.78 $$ A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. The population mean is 62.95 inches with a standard deviation of 5.65 inches. What is the standard error of the sample mean? Round your answer to the nearest hundredth. The standard error of the sample mean is approximately 0.78. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Standard Error" ] }

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Question

Explanation:

Identify the given parameters

Calculate the standard error of the mean

Round to the nearest hundredth

Answer: