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help with statistics homework

Statistics
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A normal population has a mean of 78 and a standard deviation of 6. You select a sample of 50.

Compute the probability the sample mean is: ( Round z values to 2 decimal places and final answer to 4 decimal places)

a) Less than 77

probability

b)Between 77 and 79

probability

c) Between 79 and 80

probability

d) Greater than 80

probability

Apr 11th, 2015

(a).  z= x- mue/ sigma /sq rt (n) so for x = 77 , z= -1.18

       Less than 77,   P= 0.1190

(b).  x= 79 , z = 1.18. and x= 77, z= -1.18

      Between 77 and 79, P = 0.8810 -0.1190 =.  0.762

(c) x=80, z= 80-78/0.8485 = 2.36.     and x= 79, z= 1.18

        Between 79 and 80,   P = 0.9909-0.8810.  =.  0.1099

(d) x= 80 ,   P 1- 0.9909 = 0.0091

Please note answers required are in bold.


Apr 11th, 2015

I have answered yurt question.

Niru

Apr 11th, 2015

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