Question

A particular fruit's weights are normally distributed, with a mean of 539 grams and a standard deviation of 13 grams. If you pick 14 fruit at random, what is the probability that their mean weight will be between 529 grams and 529 grams (Give answer to 4 decimal places.)

Answer 1

Solution :

Given that,

mean = = 539

standard deviation = = 13

= / n = 13 / 14 = 3.4744

= P[(529 - 539) /3.4744 < ( - ) / < (529 - 539) / 3.4744)]

= P(-2.8782 < Z < -2.8782)

= P(Z < -2.8782) - P(Z < -2.8782)

= 0.002 - 0.002

= 0  

Probability = 0