College

A sample from a population with [tex]\mu = 40[/tex] and [tex]\sigma = 10[/tex] has a mean of [tex]M = 44[/tex]. If the sample mean corresponds to a [tex]z = 2.00[/tex], then how many scores are in the sample?

Answer :

The number of scores that are in the sample will be 25.

How to calculate the value?

From the information, the sample from a population with μ = 40 and σ = 10 has a mean of M = 44 and tthe sample mean corresponds to a z = 2.00.

The number of scores that are in the sample will be:

z = 4 / (10 / ✓n)

2.00 = 4✓n / 10.

4✓n = 20

✓n = 20/4

✓n = 5

n = 5²

n = 25

Therefore, the number of scores that are in the sample will be 25.

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