Use the following information to answer the question. A sprint duathlon consists

Question

Use the following information to answer the question. A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25 hours. Suppose a random sample of 30 participants in the 40-44 age group was taken and the mean finishing time was found to be 1.62 hours with a standard deviation of 0.40 hours. 13) 13) Suppose we were to make a histogram of the finishing times of the 30 participants in the 40-44 age group. Would the histogram be a display of the population distribution, the distribution of a sample, or the sampling distribution of means? A) distribution of a sample B) sampling distribution of means C) population distribution

Explanation / Answer

Answer

Here by the problem, a sprint dualthon consists of a 5 km run , a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25 hours.

Now here we suppose a random sample of 30 participants in the 40-44 age group was taken and the mean finishing time was found to be 1.62 hours with a standard deviation of 0.40 hours.

Now suppose we are to make a histogram of the finishing times of the 30 participants in the 40-44 age group.

So as the histogram is solely based on 30 sample values so it cannot be the population distribution (may be a good representative, but not exact population distribution).

So it is a distribution of a sample

Hence option A is the correct one.

Hence the answer...........

Thank you.............

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