What percentage of bill lengths are greater than 26.2 mm?

Please give your answer as a percentage to the nearest 2 decimals, e.g. 25.36%, not 0.2536 or 25%.

Question

What percentage of bill lengths are greater than 26.2 mm?

Please give your answer as a percentage to the nearest 2 decimals, e.g. 25.36%, not 0.2536 or 25%.

BlackTom AI · Accepted Answer

The question asks: What percentage of bill lengths are greater than 26.2 mm? Please give your answer as a percentage to the nearest 2 decimals, e.g. 25.36%, not 0.2536 or 25%.

First, note that there are no answer options provided for this numerical question, so there isn’t a multiple-choice path to analyze. Instead, we need to determine the percentage from the underlying data or from a stated distribution.

If you have the actual dataset of bill lengths, the correct approach is straightforward: count how many values exceed 26.2 mm, divide by the total number of measurements, and multiply by 100 to express it as a percentage. In formula form: Percent > 26.2 = (Number of lengths with value > 26.2) / (Total number of lengths) * 100. Then round to two decimals.

If the dataset is not available but you know it follows a normal distribution with a given mean (μ) and standard deviation (σ), you can use a normal approximation. Compute the z-score for 26.2 mm: z = (26.2 − μ) / σ. Then look up the standard normal tail probability P(Z > z), or use a calculator: Percent > 26.2 = 100 × [1 − Φ(z)], where Φ is the standard normal CDF. Finally, round the result to two decimals.

If instead you have a histogram or empirical summary (e.g., min, max, quartiles) but not the full data, you could approximate using interpolation from a distribution that matches those summaries, but that introduces estimation error.

In summary, without the actual data or explicit distribution parameters (mean and standard deviation), the exact percentage cannot be determined from the information provided. If you share the data values or μ and σ, I can compute the precise percentage and present it rounded to two decimals.

Su25-STATS-141-01/BIO-141-01 Homework 2: Normal Distributions & Hypothesis Tests

What percentage of bill lengths are greater than 26.2 mm? Please give your answer as a percentage to the nearest 2 decimals, e.g. 25.36%, not 0.2536 or 25%.

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