Question

The mean height of women in a country​ (ages

20minus−​29)

is

64.1

inches. A random sample of

fifty

women in this age group is selected. What is the probability that the mean height for the sample is greater than

sixtyfive

​inches? Assume

sigmaσequals=2.75

The probability that the mean height for the sample is greater than

sixtyfive

inches is

Answer 1

Solution :

Given that ,

mean = = 64.1

standard deviation = = 2.75

n = 50

= 64.1

= / n = 2.75 / 50  

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

= 1 - P[( - ) / < (65 - 64.1) / 2.75 / 50  ]

= 1 - P(z < 2.31)

= 0.0104

Probability = 0.0104