StatisticsdrillNormal: percentile cutoff
A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.
The task
Monthly sales per sales rep are normally distributed with mean 403 units and standard deviation 45. The company rewards the bottom 1% with extra coaching. What sales level marks the cutoff? Round to 2 decimal places.
What this problem teaches
The formula: x = μ + z σ.
A hint if you get stuck
Find the z with the right area below it (1 - q for a top cutoff, q for a bottom one), then x = μ + zσ.
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