Suppose a simple random sample of size nequals49 is obtained from a population with mu equals 78 and sigma equals 28.

(a) describe the sampling distribution of x overbar.
(b) what is upper p (x overbar greater than 83.8 )?
(c) what is upper p (x overbar less than or equals 69.6 )?
(d) what is upper p (75.8 less than x overbar less than 88 )?

0.0735,0.0179,0.7026

Step-by-step explanation:

Given that a simple random sample of size nequals 49 is obtained from a population with mu equals 78 and sigma equals 28.

Sample size = 49

Population mean = 78

Population std deviation = 28

Std error of sample mean =

a) : N(78, 4)

b)

(by converting to Z and finding value from Z table)

c) P (x overbar less than or equals 69.6 )

=

d) P (75.8 less than x overbar less than 88 )

=