The weights of Labrador Retrievers are normally distributed with a mean of 72 pounds with a standard deviation of 3.5 pounds. Provide a distribution for representative, random samples of 50 Labradors.
Solution :
Given that ,
mean =
=72
standard deviation =
= 3.5
n = 50
sample distribution of sample mean is ,
=
= 72
sampling distribution of standard deviation
=
/
n = 3.5/
50
= 0.49
approximately normal distribution
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