n10 n100 n1000Solutionn 10 z x u SDsqrtn z 2 24 045

n=10

n=100

n=1000

n = 10 :

z = (x - u) / (SD/sqrt(n))

z = (2 - 2.4) / (0.45 / sqrt(10))

z = -2.810913475705226072887905372829083141084049012733526068

Now, using this link ---> https://www.easycalculation.com/statistics/p-value-for-z-score.php

Plug in z-score...

Since we need P(z < -2.810913475705226072887905372829083141084049012733526068), we will
consider the \"Left tailed value\", which is 0.0025

So, using n = 10 ----> P(xbar <= 2) = 0.0025

----------------------------------------------------------------------------------------

n = 100 :

z = (x -u) / (SD / sqrt(n))

z = (2 - 2.4) / (0.45 / sqrt(100))

z = -8.888888888888888888888888888888888888888888888888888889

P = 0

So, using n = 100 ---> P(xbar <= 2) = 0

-----------------------------------------------------------------------------------

n = 1000 :

z = (x - u) / (SD / sqrt(n))

z = (2 - 2.4) / (0.45 / sqrt(1000))

z = -28.109134757052260728879053728290831410840490127335260683

P = 0

So, using n = 1000 ---> P(xbar <= 2) = 0