Consider a large population of interest. It\'s distribution is normal and it\'s

Question

Consider a large population of interest. It's distribution is normal and it's mean is 175 and standard deviation is 100. Let X = single observation.

a) Find P(X < 180)

A random sample fo 150 is taken. Let a = sample average of the observations.

b) FindP(a<180)

Consider another large population of interest. It's distribution is unknown and it's mean is 175 and it standard deviation is 100. Let X = a single observation.

A randokm sample of 150 is taken. Let a = sample avergae of the observations.

c) Find P( a < 180)

Explanation / Answer

A) P(X < 180) =P(180-175/100)

p(0.05)

P(Z<0.05)=0.519939

B)FindP(a<180) A random sample fo 150 is taken

=180-150/100

P(0.30)

P(Z<0.30)=0.617911

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