QQuestionStatistics
QuestionStatistics
"Which of the following is an example of inferential statistics?
Find the average height of 50 female students at State University.
Summarize the variability of the exam scores of 40 students based on all 40 exam scores.
Test the longevity of all light bulbs based on a sample of 100 light bulbs.
Calculate a mutual fund's average return for the last five years."
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Answer
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Step 1: Identify the options that involve inferential statistics.
Inferential statistics is a branch of statistics that involves using data from a sample to make inferences or predictions about a larger population. Based on the problem descriptions given, we need to identify the one that involves making inferences about a population.
Step 2: Analyze each option.
A. Find the average height of 50 female students at State University. This option describes descriptive statistics, as it involves calculating a measure of central tendency (mean) for a sample. It does not involve making inferences about a larger population. B. Summarize the variability of the exam scores of 40 students based on all 40 exam scores. This option also describes descriptive statistics, as it involves calculating a measure of variability (such as standard deviation) for a sample. It does not involve making inferences about a larger population. C. Test the longevity of all light bulbs based on a sample of 100 light bulbs. This option describes inferential statistics, as it involves using data from a sample (in this case, 100 light bulbs) to make inferences about a larger population (all light bulbs). D. Calculate a mutual fund's average return for the last five years. This option describes descriptive statistics, as it involves calculating a measure of central tendency (mean) for a set of data (mutual fund returns). It does not involve making inferences about a larger population.
Final Answer
The example of inferential statistics is testing the longevity of all light bulbs based on a sample of 100 light bulbs (option C). This process involves using data from the sample to make inferences about the population of light bulbs.
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