Question

In: Statistics and Probability

Bass - Samples: The bass in Clear Lake have weights that are normally distributed with a...

Bass - Samples: The bass in Clear Lake have weights that are normally distributed with a mean of 2.3 pounds and a standard deviation of 0.6 pounds.

What percentage of all randomly caught groups of 3 bass should weigh between 2.0 and 2.5 pounds? Enter your answer as a percentage rounded to one decimal place.
%

Solutions

Expert Solution

X:  The bass in Clear Lake have weights that are normally distributed

a sample of size (n) 3 will follow normal distribution with;-

sample mean = 2.3

sample sd =

the probability that  all randomly caught groups of 3 bass should weigh between 2.0 and 2.5 pounds be:-

[ in any blank cell of excel type =NORMSDIST(0.57735) press enter

in any blank cell of excel type =NORMSDIST(-0.86603) press enter]

the percentage of all randomly caught groups of 3 bass should weigh between 2.0 and 2.5 pounds be:-

= (0.525*100)%

= 52.5 %

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