Question

A sample of size 47 will be drawn from a population with mean 28 and standarddeviation 6. Find the probability that x will be greater than 29.

A)0.1423B)0.1003C)0.8729D)0.1271

Answer 1

Solution :

= / n = 6 / 47 = 0.8752

P( > 29) = 1 - P( < 29)

= 1 - P[( - ) / < (29 - 28) / 0.8752]

= 1 - P(z < 1.14)

= 1 - 0.8729

= 0.1271

Probability = 0.1271

option D) is correct