6 5 points Exercise 1432 Explaining confidence You calculate

6. (5 points) Exercise 14.32 Explaining confidence. You calculate a 95% confidence interval of 272 centimeters (cm) for the mean needle length of Torrey pine trees. You ask a friend to explain this result. He believes it means that “95% of all Torrey pine needles have lengths between 25 and 29 cm.” Is he right? Explain your answer.

Solution

It is right
Interpretations:
1) We are 95% sure that the interval [25,29 ] contains the
true population mean
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 95% of these intervals will contain the
population mean