@me?? please check and show workthanks 3) if the size of a sample randomly selec

Question

@me?? please check and show workthanks

3) if the size of a sample randomly selected from a populationis increased from n=100 to n=400, then the standard deviation of p*will

a. remain the same
b. increase by a factor of 4@
c. decrease by a factor of 4
d. decrease by a factor of 2

4) Consider a random sample with sample mean X. If the samplesize is increased from n= 40 to n= 360, then the standard deviationof X will

A. Remain the same
B. increase by a factor of 9 (will be multiplied by 9)
C. Decrease by a factor of 9 ( will be multiplied by 1/9)
D. Decrease by a factor of 3 ( will be multiplied by 1/3)@

Explanation / Answer

3) if the size of a sample randomly selected from a populationis increased from n=100 to n=400, then the standard deviation of p*will

a. remain the same
b. increase by a factor of 4@
c. decrease by a factor of 4
d. decrease by a factor of2

4) Consider a random sample with sample mean X. If the samplesize is increased from n= 40 to n= 360, then the standard deviationof X will

A. Remain the same
B. increase by a factor of 9 (will be multiplied by 9)
C. Decrease by a factor of 9 ( will be multiplied by 1/9)
D. Decrease by a factor of 3( will be multiplied by 1/3)@

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