Assume a population of 3, 5, and 10. assume that samples of size
n=2 are randomly selected with replacement from the population listed below are the nine different samples complete parts a through d below:

3.3 3.5 3.10 5.3 5.5 5.10 10.3 10.5 10.10

a) find the value of the population standard deviation
b) find the standard deviation of each of the nine samples then summarize the sampling distribution of the standard deviation in the format of a table representing the probability distribution of the distinct standard deviation values use ascending order for the sample standard deviations
c) find the mean of the sampling distribution of the sample standard deviations
d) do the sample standard deviations target the value of the population standard deviation? in general do sample standard deviations make good estimators of population standard deviations? why or why not?

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation:

hence, the required result is

step-by-step explanation:

suppose we have two matrices a and b

we will assume the two matrices

we have to compute b-a which means subtracting corresponding elements of a from b.

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