Mathematics: Asample is obtained from a population with m = 100 and s = 20. which of the following samples would produce the most extreme z-score? a sample of n = 25 scores with m = 102 a sample of n = 100 scores with m = 102 a sample of n = 25 scores with m = 104 a sample of n = 100 scores with m = 104

someone help me help her pls thankyou thats allStep-by-step explanation:...

Asample is obtained from a population with m = 100 - id1003437991, jasminethomas5159

Ответ:

ashleybarrera2000

07.01.2022

Mathematics

A sample of n = 100 scores with M = 104 gives the most extreme z-score.

Step-by-step explanation:

The difference between sample mean and population mean is (Standard Error of the Mean) can be written by the formula

SE=(M-m)= $\frac{z*s}{\sqrt{n}}$ where M is the sample mean, m is the population mean, z is the z-score, s is the population standard deviation, n is the size of the sample. From this we can find out that

z=(M-m)× $\frac{\sqrt{n} }{s}$

$\\$

A sample of n = 25 scores with M = 102 gives

z=(102-100)× $\frac{\sqrt{25} }{20}$ =0.5

A sample of n = 100 scores with M = 102 gives

z=(102-100)× $\frac{\sqrt{100} }{20}$ =1

A sample of n = 25 scores with M = 104 gives

z=(104-100)× $\frac{\sqrt{25} }{20}$ =1

A sample of n = 100 scores with M = 104 gives

z=(104-100)× $\frac{\sqrt{100} }{20}$ =2

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Asample is obtained from a population with m = 100 and s = 20. which of the following samples would produce the most extreme z-score? a sample of n = 25 scores with m = 102 a sample of n = 100 scores with m = 102 a sample of n = 25 scores with m = 104 a sample of n = 100 scores with m = 104

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