Question

The mean height of women in a country​ (ages 20minus​29) is 63.6 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 64 ​inches? Assume sigma=2.56.

The probability that the mean height for the sample is greater than 64 inches is?

Answer 1

Solution :

Given that ,

mean = = 63.6

standard deviation = = 2.56

n = 60

= 63.6

= / n = 2.56 / 60 = 0.33

P( > 64) = 1 - P( <64 )

= 1 - P[( - ) / < (64-63.6) /0.33 ]

= 1 - P(z < 1.21)

Using z table

= 1 - 0.8869

probability= 0.1131