Question

In: Statistics and Probability

A random sample of size n = 36 is obtain from a population with µ= 80,...

A random sample of size n = 36 is obtain from a population with µ= 80, and standard deviation =18.

(a). Describe the sampling distribution . (b). What is P(77 << 85 )?

Expert Solution

Solution :

Given that ,

mean = = 80

standard deviation = = 18

a

n = 36

= 80

= / $\sqrt$ n= 18/ $\sqrt$ 36=3

b

P(77< <85 ) = P[(77 - 80) /3 < ( - ) / < (85 - 80) /3 )]

= P( -1< Z < 1.67)

= P(Z < 1.67) - P(Z < -1)

Using z table

=0.9525 - 0.1587

probability= 0.7938

orchestra answered 2 years ago

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