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The owner of a smart watch would like to estimate the mean number of steps they take per day. To do so, they select a random sample of 30 days from the previous year's data and record the number of steps they took on each of those days. The mean number of steps taken per day was 8,575 with a standard deviation of 2,125 steps. What is the value of the standard error of the mean?
O 70.833 O 387.970 O 394.603 O 2,125​

Respuesta :

The standard error is an estimate of the standard deviation of the sampling distribution. The value of the standard error of the mean is 387.970.

What is the standard error?

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation = σ

Size of the sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

The standard error of the mean can be written as,

SE = σ/√n

SE = 2,125/√30

SE = 387.970

Hence, the value of the standard error of the mean is 387.970.

Learn more about Standard Error:

https://brainly.com/question/17461828

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