Question

The population of weights of a particular fruit is normally distributed, with a mean of 483 grams and a standard deviation of 20 grams. If 15 fruits are picked at random, then 8% of the time, their mean weight will be greater than how many grams? ROUND ANSWER TO NEAREST GRAM!!!!!!

Answer 1

Given that,

mean = = 483

standard deviation = = 20

n = 15

= 483

= / n = 20/ 15=5.1640

Using standard normal table,

P(Z > z) =8 %

= 1 - P(Z < z) = 0.08

= P(Z < z ) = 1 - 0.08

= P(Z < z ) = 0.92

= P(Z <1.41 ) = 0.92  

z =1.41 ( using z table )

Using z-score formula  

= z * +   

= 1.41 *5.1640+483

= 490.28

answer=491