Question

In: Statistics and Probability

The heights of newborn babies have a symmetric distribution with a mean of 20 inches and...

The heights of newborn babies have a symmetric distribution with a mean of 20 inches and a SD of 2 inches. Find the percentage of newborn babies whose height is between 18 inches and 22 inches

Answer the following questions:

Do you apply Chebyshev’s Theorem or OR Empirical Rule?
What is K? Remember that “k” is the number of standard deviation from the mean?
The percentage of newborn babies whose height is between 18 inches and 22 inches is:

Expert Solution

Solution:

Given a Symmetric shaped distribution( NORMAL DISTRIBUTION) with

= 45

= 6

When distribution is symmetric , we use Empirical rule. Otherwise use Chebyshev's Theorem.

Now ,

18 = 20 - 2 = - 1

22 = 20 + 2 = + 1

So , k = 1

According to the empirical rule , 68% of the data lie within 1 standard deviations from the mean

i.e. between - and +

The percentage of newborn babies whose height is between 18 inches and 22 inches is: 68 %

orchestra answered 2 years ago

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