Chapter 8.1, Problem 1.3CYU

To determine

To find: Whether the provided statement is true or false.

Answer to Problem 1.3CYU

False.

Explanation of Solution

Given:

  $\text{Confidence interval = }\left(2.84,7.55\right)$

Number of dogs ( n ) = 10

Confidence level = 95%

The provided statement is, “The confidence interval from $2.84\text{ to 7}\text{.55}$ has 95% probability of capturing the true value of population standard deviation”

If the sampling procedure is repeated n number of times than 95% of the computed confidence interval are expected to contain the standard deviation of population.

Thus, the provided statement is False.