1. Suppose that there exists the population below and that you happen to know th

Question

1. Suppose that there exists the population below and that you happen to know the population standard deviation (you can calculate it in this case). If you draw a sample which has these four observations, 19, 21, 7, 25 what is the z value? Answer to four decimal places. DO NOT USE ANY PREVIOUSLY ROUNDED ANSWERS AS INPUTS IN YOUR CALCULATIONS;

Population values: 5, 16, 7, 33, 19, 21, 30, 6, 8, 14, 25.

2. Suppose that there exists the population below and that you happen to know the population standard deviation (you can calculate it in this case). What is the probability of drawing a sample that has a larger z value, based on looking at the z table, than the sample of 19, 21, 7, 25? By larger I mean it is further to the right of 0; i.e., -1 is not larger than .89. Answer to four decimal places. DO NOT USE ANY PREVIOUSLY ROUNDED ANSWERS AS INPUTS IN YOUR CALCULATIONS;

Population values: 5, 16, 7, 33, 19, 21, 30, 6, 8, 14, 25.

Please show work on how it was done as well!!

Explanation / Answer

1)
mean = 16.73 , s = 9.82 , n = 10 , X = 18

z = ( x - mean) / ( s/sqrt(n))
= ( 18 - 16.730 /( 9.82/sqrt(10))
= 0.4089

2)

mean = 16.73 , s = 9.82 , n = 10 , X = 18

P(X > 18)
z = ( x - mean) / ( s/sqrt(n))
= ( 18 - 16.730 /( 9.82/sqrt(10))
= 0.4089

p(X > 18) = P(Z > 0.4089) = 0.3413

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