Communicate a forecast interval to an executive

WHAT THIS TESTS: Whether you can respect an executive's need for a concrete number while still conveying risk honestly, and whether you translate a statistical interval into language and visuals that drive planning decisions.

A GOOD ANSWER COVERS: Give the executive the number they asked for first, the ten million point forecast, because refusing to commit erodes trust. Then frame the uncertainty in decision terms rather than statistical jargon. Translate the interval into scenarios: a downside of about seven million, a central expectation of ten million, and an upside near thirteen million, and explain what each implies for budgeting, so leadership can build buffers against the low case and plan investments for the high case. Avoid the phrase ninety-five percent confidence interval without a plain-language gloss, since it is widely misunderstood; say there is roughly a one-in-twenty chance the true figure falls outside this range. Visually, use a fan chart or a range plot showing the central line with a shaded band, not a single bar that implies false precision. Close by connecting the interval width to a recommendation, such as planning to the conservative figure and treating upside as opportunity.

COMMON WRONG ANSWERS: Presenting ten million as a guaranteed figure with no range, or burying the executive in p-values and standard errors. Hiding the uncertainty to look more confident.

LIKELY FOLLOW-UPS: How would you plan differently for the low versus high end? What drives the width of the interval? How do you update the forecast as the quarter progresses?

ONE CONCRETE EXAMPLE: The analyst shows a fan chart with ten million as the central line and a band from seven to thirteen million, and says: plan the budget around ten, but reserve a cushion in case we land near seven, and be ready to invest if we trend toward thirteen, framing the range as a planning tool rather than a hedge.