A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The meanfinish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25hours. Suppose a random sample of 30 participants was taken and the mean finishing time was found tobe 1.59 hours with a standard deviation of 0.30 hours. In this example, the numerical values of 1.67hours and 0.25 hours areA) estimates B) unbiased estimators C) parameters D) statistic
Question
A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The meanfinish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25hours. Suppose a random sample of 30 participants was taken and the mean finishing time was found tobe 1.59 hours with a standard deviation of 0.30 hours. In this example, the numerical values of 1.67hours and 0.25 hours areA) estimates B) unbiased estimators C) parameters D) statistic
Solution
To determine the correct answer, we need to understand the definitions of the terms provided:
A) Estimates: These are values calculated from sample data that are used to estimate population parameters.
B) Unbiased estimators: These are statistics that, on average, equal the parameter they estimate.
C) Parameters: These are numerical values that summarize data for an entire population.
D) Statistic: This is a numerical value that summarizes data from a sample.
Given the context of the question:
- The mean finish time of all participants (1.67 hours) and the standard deviation (0.25 hours) are values that describe the entire population of participants in the duathlon.
Therefore, the correct answer is:
C) parameters
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