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Squarepoint Capital Interview Questions

A/B Testing

Algorithms

Analytics

Machine Learning

Probability

Product Metrics

Python

Statistics

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Let \(X\) be a continuous random variable with its probability density function, mean, and median denoted as \(f_X(x),\mu,\) and \(m\) respectively.

Show that if \(f_X\) is a strictly decreasing function, \(m\geq\mu\).

Strictly Decreasing PDF

Suppose there exists a new airline named Jetco that flies domestically across North America. Jetco recently had a study commissioned that tested the boarding time of every airline, and it came out that Jetco had the fastest average boarding times of any airline.

What factors could have biased this result, and what would you look into?

What could potentially bias the average boarding time in favor of an airline that only flies domestically?

What could potentially bias the average boarding time in favor of an airline that only flies domestically?

Boarding Times Bias

A new airline came out as the fastest average boarding times compared to other airlines.  What factors could have biased this result and what would you look into?

You are testing hundreds of hypotheses with many t-tests. What considerations should be made?

What is a key disadvantage of the F-test when compared to multiple t-tests?

What is a key disadvantage of the F-test when compared to multiple t-tests?

Hundreds of Hypotheses

You are testing hundreds of hypotheses with many t-tests. What considerations should be made?

Question	Topic	Difficulty	Ask Chance
Strictly Decreasing PDF	Probability	Hard	Very High
Boarding Times Bias	Statistics	Medium	Low
Hundreds of Hypotheses	Statistics	Medium	Low

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