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13.) The heights (in inches) of males in the United States are believed to be approximately normally

distributed with mean u. The mean height of a random sample of 25 adult American males is found to

be x = 69.72 inches and the standard deviation is 4.15 inches. What is the standard error of x?

a) 0.170

b) 0.690

c) 0.830

d) 1.836

e) 2.040

Respuesta :

Answer:

Option C) 0.830                                            

Step-by-step explanation:

We are given the following in the question:

The heights (in inches) of males in the United States are believed to be approximately normally   distributed with mean [tex]\mu[/tex].

Sample size, n = 25

Sample mean, [tex]\bar{x}[/tex] = 69.72 inches

Standard deviation, [tex]\sigma[/tex] = 4.15 inches

We have to find the standard error of [tex]\bar{x}[/tex].

Standard error =

[tex]\dfrac{\sigma}{\sqrt{n}} = \dfrac{4.15}{\sqrt{25}} = \dfrac{4.15}{5} = 0.83[/tex]

Thus, the standard error of [tex]\bar{x}[/tex] is 0.83 inches.

The correct answer is

Option C) 0.830

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