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inysia [295]
2 years ago
14

A sample with a mean of m = 40 and a variance of s2 = 20 has an estimated standard error of 1 point. how many scores are in the

sample? group of answer choices 4 5 20 21
Mathematics
1 answer:
tamaranim1 [39]2 years ago
3 0

The correct option is 20.

The score found for the sample is 20.

<h3>What is Standard error?</h3>

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; \bar{x}=40

Sample variance; s^{2}=20

Thus, s=\sqrt{20}=4.47

Standard error SE = 1

The amount of scores with in sample must be determined here.

The standard error formula is as follows:

S E=\frac{s}{\sqrt{n}}

We might rearrange the formula as follows:

\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}

Substituting the values;

\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}

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

brainly.com/question/14467769

#SPJ4

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