A sample of 25 outcomes is taken from a population that is N

A sample of 25 outcomes is taken from a population that is Normal(50, 3). The mean of this particular sample is found to be 48.5.
Which of the following describes the sampling distribution of \"A?

a.) Normal(50, 0.6)
b.) Normal(48.5, 0.6)
c.) Normal(50, 0.12)
d.) The sampling distribution is not necessarily normal, but should have characteristics ? = 50 and ? = 0.6.
e.) Normal(48.5, 3)

Solution

Mean ( u ) =48.5
Sample Standard Deviation ( sd )= 3/ Sqrt ( 25 ) = 0.6
Number ( n ) = 25

The sampling distribution is necessarily normal, and should have characteristics = 48.5 and = 0.6.  

[ANSWER] b.) Normal(48.5, 0.6)

 A sample of 25 outcomes is taken from a population that is Normal(50, 3). The mean of this particular sample is found to be 48.5. Which of the following descri

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