Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:
In which is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
The nearest whole number the diameter of the circle is 5.0 cm.
<u>Given the following data:</u>
To estimate to the nearest whole number the diameter of the circle:
In this exercise, you're required to solve for the diameter of a circle and round up its value to the nearest whole number.
<h3>How to calculate the circumference of a circle.</h3>Mathematically, the circumference of a circle is given by the formula:
<u>Where:</u>
Making D the subject of formula, we have:
Substituting the given parameters into the formula, we have;
D = 4.90 cm
To the nearest whole number:
D = 4.90 ≈ 5.0 cm
Read more on circumference of a circle here: brainly.com/question/14478195