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If a sample of 148 runners is taken from a population of 172 runners, the population mean, \( \mu \), is the mean of how many runners' times?

A. 172
B. Both 148 and 172
C. 148
D. Neither 148 nor 172

Answer :

u, is the mean of how 172 runners' times. Option A

What is the mean of how many runners' times?

When a sample is taken from a larger population, the population mean, denoted by μ (mu), remains the same. It represents the average value of the entire population. Therefore, the population mean, μ, is the mean of all 172 runners' times, regardless of the sample size.

In this case, a sample of 148 runners is taken from a population of 172 runners. The sample mean, denoted by (x-bar), represents the average value of the sample. It is an estimate of the population mean. The sample mean, is calculated by summing up the times of the 148 runners and dividing by 148.

Hence, If a sample of 148 runners is taken from a population of 172 runners, the population mean, denoted by the symbol μ, is the mean of the entire population, which in this case is the mean of the times of all 172 runners.

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