Question
In: Statistics and Probability
Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean...
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.
Solutions
Expert Solution
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
orchestra answered 3 years agoRelated Solutions
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