What is the point estimate for the average height of active individuals?

Question

BlackTom AI · Accepted Answer

Question restatement: The problem asks for the point estimate for the average height of active individuals. Answer choices provided are: 177.8, 163.8, 170.3, 171.1, 9.4.

Option 177.8: This value is higher than typical adult human heights and does not align with a plausible average height for active individuals in most populations, so it seems unlikely to be the point estimate. It could stem from a data entry error or a miscalculation if units or sample mean were misread.

Option 163.8: This value is within a plausible range for average heights in some populations, but it would need to be supported by the specific sample data. If the actual sample mean were around 164 cm, this would be correct; otherwise, it represents a potential mismatch with the given dataset.

Option 170.3: This figure sits between the extremes of the other candidates and remains within a reasonable range for adult average height in many populations. If the study’s sample produced a mean near 170 cm, this could be the estimate, but it would depend on the data.

Option 171.1: This option is very close to 171 cm and also within a typical range for adult average height in several populations. If the sample data yielded a mean around 171 cm, this would be a strong candidate for the point estimate.

Option 9.4: This value is clearly implausible for an average human height in centimeters and stands out as an outlier relative to the other options. It is likely not a valid point estimate for height.

To determine the correct choice, one would compare each option against the actual sample mean that was computed from the height measurements of active individuals. When evaluating plausibility, consider typical adult height ranges and whether the number aligns with the units (centimeters) and the reported sample. If the dataset described a mean near 171 cm, then 171.1 would be a close estimate; if the data indicated a mean around 170 cm or 163 cm, those options would be favored instead. The clearly implausible option (9.4) can be discarded on the basis of unit appropriateness and scale. The choice between the remaining plausible values hinges on the exact sample mean from the study data, which is not provided here beyond the listed options.

FA25_QTM_100_3 7.8: Heights of adults.

What is the point estimate for the average height of active individuals?

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