Question

Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.2 ounces. If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.1 ounces. Round your answer to 4 decimal places.

Answer 1

Solution :

Given that ,

mean = = 8

standard deviation = = 1.2

n = 5

= 8

=  / n = 1.2/ 5=0.54

P( <9.1 ) = P[( - ) / < (9.1-8) /0.54 ]

= P(z < 2.04)

Using z table  

= 0.9793