Question

Suppose a random sample of

nequals=100100

measurements is selected from a population with mean

muμ

and standard deviation

sigmaσ.

For each of the following values of

muμ

and

sigmaσ​,

give the values of

mu Subscript x overbarμx

and sigma Subscript x overbar Baseline .and σx.

a.

muμequals=5, sigmaσequals=2

b.

muμequals=25​, sigmaσequals=100

c.

muμequals=10 sigmaσequals=80

d.

muμequals=5​, sigmaσequals=190

a.

mu Subscript x overbarμxequals=55

sigma Subscript x overbarσxequals=2.2 ​(Type an integer or a​ decimal.)

Both of your answers are incorrect. For a sampling distribution x overbar comma x,

mu Subscript x overbar Baseline equals Upper E left parenthesis x overbar right parenthesis equals muμx=Ex=μ

and sigma Subscript x overbar Baseline equals sigma divided by StartRoot n EndRootσx=σ/n.

PLEASE LOOK AT THESE AGAIN AND HOPEFULLY GIVE THE CORRECT ANSWER.THANK YOU

Answer 1

Sample size = n = 100

We have to find the mean and standard deviation of for each of the following.

a)

= 5

= 2

Mean of the = = 5

The standard deviation of = $sigma/sqrt{n}=2/sqrt{100}=0.2$

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b)

= 25

= 100

Mean of the = = 25

The standard deviation of =

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c)

= 10

= 80

Mean of the = = 10

The standard deviation of = $sigma/sqrt{n}=80/sqrt{100}=8$

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d)

= 5

= 190

Mean of the = =The standard

ard deviation of =

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I think you will get your answer if any doubt regarding this question please comment.