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In: Statistics and Probability

Q. The birthweight (denoted by a random variable W )of babies in normally distributed with mean...

Q. The birthweight (denoted by a random variable W )of babies in normally distributed with mean of 3500g and standard deviation 500gm.

a) Use and show the manual calculations that determine the birthweight that only 5% of the birthweight would exceed.

b) Provide the r commander commands and output to show that the value for part a is correct.

Solutions

Expert Solution

Given, Mean of W, = 3500g

Standard deviation, = 500g

(a) As W follows Normal distribution, we find the Z value corresponding to w from which only 5% of the birthweight would exceed

The z value = 1.645

Thus, the required birthweight = = 3500 + 1.645*500 = 4322.5g

(b) R commander commands:

Value for part (a) is 4322.5 and output from R is 4322.427

orchestra answered 2 years ago
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