Question
In: Statistics and Probability
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 13 pounds and a standard deviation of 6. If a sample of 9 fish are randomly selected, what is the probability that the mean weight will be between 10.2 and 16.6 pounds?
Solutions
Expert Solution
Let ,
, n=9
Now , the sampling distribution of the sample mean is
approximately normally distributed with mean 
and standard deviation 
Now , we want find the probability that the mean weight will be between 10.2 and 16.6 pounds.
Therefore ,
; From standard normal distribution table
Therefore , the probability that the mean weight will be between 10.2 and 16.6 pounds is 0.8833
orchestra answered 2 years agoRelated Solutions
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