Question

the mean height of women in a country (ages 20-29) is 63.8 inches. A random sample of 60 women in this age group is selected. what is the probability that the mean height for the sample is greater than 65 inches? assume ó ?= 2.85.    

the probability that the mean height for the sample is greater than 65 inches is

Answer 1

Solution :

Given that ,

mean = = 63.8

standard deviation = = 2.85

= / n = 2.85 / = 0.37

P( >65 ) = 1 - P( <65 )

= 1 - P[( - ) / < (65-63.8) /0.37 ]

= 1 - P(z <3.24 )  

= 1 - 0.9994

= 0.0006

probability=0.0006