Question

if you increase the confidence level, the length of the confidence interval . a. decreases b. stays the same c. increases d. may increase or decrease, depending on the sample data

Answer 1

If you increase the confidence level, the length of the confidence interval increases.

Define confidence interval.

An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. The likely location of the population parameter is shown by a confidence interval. For instance, the population mean is between 9 and 11, according to the 95% confidence interval of the mean [9 11].

Given,

If you increase the confidence level, the length of the confidence interval

c) increases

If you increase the confidence level, the length of the confidence interval increases.

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