if a mean age of a sample of 100 randomly chosen individuals is 44 and the standard deviation is 14, what is the standard error

Question

1 year ago

5

of the mean?

1 answer:

lord [1] · Answer 1 · 2024-05-12T23:07:06+03:00

The standard error of the mean for 100 samples having a mean of 44 and a standard deviation of 14 is 1.4

No. of samples = 100

The mean of those samples = 44

The standard deviation of those samples = 14

The standard error of the mean can be found using the formula

$\displaystyle \sigma_{\bar x} = \frac{\sigma}{\sqrt n}$

where $\displaystyle \sigma_{\bar x}$ is the standard error of the mean

σ is the standard devaition

n is the number of samples.

Let us substitute the known values in the above, we get

$\displaystyle \sigma_{\bar x}$ = 14 / √100

= 14 / 10

= 1.4

Therefore, the standard error of the mean is 1.4

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