Multiple Choice
Find for a 90% confidence interval.
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7. Sampling Distributions & Confidence Intervals: Mean
Introduction to Confidence Intervals
Multiple Choice
In the context of statistics, which of the following best describes a confidence interval?
A
A graphical representation of data distribution.
B
A single value calculated from a sample to estimate a population parameter.
C
A range of values used to estimate a population parameter with a certain level of confidence.
D
A measurement that evaluates project performance against its goals.
Verified step by step guidance1
Step 1: Understand the concept of a confidence interval. A confidence interval is a range of values, derived from sample data, that is used to estimate an unknown population parameter (e.g., population mean or proportion) with a specified level of confidence (e.g., 95%).
Step 2: Recognize that a confidence interval is not a single value but a range. This range is calculated using the sample statistic (e.g., sample mean) and the margin of error, which accounts for variability and uncertainty in the sample data.
Step 3: Note that the confidence level (e.g., 95%) indicates the probability that the interval contains the true population parameter if the sampling process were repeated multiple times.
Step 4: Eliminate incorrect options. For example, a confidence interval is not a graphical representation of data distribution (this describes a histogram or boxplot), nor is it a single value (this describes a point estimate). It is also not a measurement of project performance.
Step 5: Conclude that the correct description of a confidence interval is: 'A range of values used to estimate a population parameter with a certain level of confidence.'
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