13.) The heights (in inches) of males in the United States are believed to be approximately normally distributed with mean u. Th

Question

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

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Isabella 2 weeks 2022-01-10T22:36:26+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-10T22:37:38+00:00

    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 \mu.

    Sample size, n = 25

    Sample mean, \bar{x} = 69.72 inches

    Standard deviation, \sigma = 4.15 inches

    We have to find the standard error of \bar{x}.

    Standard error =

    \dfrac{\sigma}{\sqrt{n}} = \dfrac{4.15}{\sqrt{25}} = \dfrac{4.15}{5} = 0.83

    Thus, the standard error of \bar{x} is 0.83 inches.

    The correct answer is

    Option C) 0.830

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