Question

Crop researchers are interested in the productivity of a new variety of corn. they plant 25 plots with randomly-selected seeds of the new variety, record the yield in bushels per acre, and find that a 99% confidence interval for the true mean yield is 118 to 130 bushels per acre.

Answer 1

A 99% confidence level means that 95% of the intervals would include the parameter.

Explanation:

In statistics, a confidence level is one of the types of estimate that has been calculated from the statistics of the observed data. This shows and calculates a range of the values which are possible for an unknown parameter.

The interval has an associated confidence level with it that the true parameter is in the proposed range of the values which are possible for an unknown parameter. A 99% confidence interval will be wider than a 95% confidence interval because to be more confident that the true population value falls within the interval we will need to allow more potential values within the interval.