Question

Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3882 grams? Round your answer to four decimal places.

Answer 1

Solution :

Given that ,

mean = = 3831

standard deviation = = 108900

n = 65

=3831

=  / n = 108900/ 65=13507.3826

P( <3882 ) = P[( - ) / < (3882 - 3831) /13507.3826 ]

= P(z <0.004 )

Using z table

= 0.5016