Mathematics: A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

By multiplying it to make it the same but different like 4/5×5/5 is 20/25 which is the same as 4/5...

A sample of n = 16 scores has a mean of M = 40 and

lwewahdu

08.02.2022

S.E = 2

Step-by-step explanation:

Given

Mean = 40

s^2 = 64 ----- variance

n = 16 ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

$S.E = \frac{SD}{\sqrt n}$

Where

$SD = Standard\ Deviation$

$SD = \sqrt {s^2}$

$SD = \sqrt {64}$

SD = 8

So:

$S.E = \frac{SD}{\sqrt n}$

$S.E = \frac{8}{\sqrt{16}}$

$S.E = \frac{8}{4}$

S.E = 2

Hence: the estimated standard error for the sample mean is 2

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