Respuesta :
The correct option is 20.
The score found for the sample is 20.
What is Standard error?
A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.
Now, according to the question;
Sample mean; [tex]\bar{x}=40[/tex]
Sample variance; [tex]s^{2}=20[/tex]
Thus, [tex]s=\sqrt{20}=4.47[/tex]
Standard error SE = 1
The amount of scores with in sample must be determined here.
The standard error formula is as follows:
[tex]S E=\frac{s}{\sqrt{n}}[/tex]
We might rearrange the formula as follows:
[tex]\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}[/tex]
Substituting the values;
[tex]\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}[/tex]
The sample's number of scores n = 19.98 = 20 (round up)
Therefore, the scores are in the sample is 20.
To know more about the Standard error, here
https://brainly.com/question/14467769
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