Question

Consider sample data with
x = 15 and s = 3.
(a) Compute the coefficient of variation.
__ %

(b) Compute a 75% Chebyshev interval around the sample mean.
Lower Limit____
Upper Limit____

Answer 1

The coefficient of variation is 20%

The lower limit is 9 and the upper limit is 21

How to calculate the coefficient of variation

Given the following parameters

• Sample mean "x" = 15
• standard deviation 's" = 3

The coefficient of variation is expressed as:
coefficient of variation = s/x  * 100

coefficient of variation = 3/15 * 100

coefficient of variation = = 20%

Hence the coefficient of variation is 20%

The formula for the Chebyshev interval is given as:

$(x- 3k, x + 3k)$

Get the value of k using the formula below:

$0.75=1-\frac{1}{k^2}\\ 0.25 = \frac{1}{k^2} \\k^2= \frac{1}{0.25} \\k = 2$

Get the required interval

$(15- 3(2), 15 + 3(2))\\(9,21)$

Hence the lower limit is 9 and the upper limit is 21

Learn more on confidence intervals here: https://brainly.com/question/15712887