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L15.2082 - Statistics for Business and Economics (2024/2025)

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Business analysts investigate the relationship between product price and sales performance across different brands. They compare the average monthly sales volume of individual products at various price points.

What is the unit of analysis in this study?
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A business analyst collects data on the daily sales of a product over 10 days. The adjusted sample variance of daily sales is calculated as 25. What is the unadjusted sample variance?
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Consider the histogram depicted below:

a

Which boxplot depicts the same data as the histogram?

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Researchers investigate the impact of AI use on learning by running a school-level experiment in which high school seniors are either offered free AI tutors or not. Graduation rates in the schools with and without AI tutors are compared.

What is the unit of analysis in this study?
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A financial analyst calculated the variance of Amazon stock’s daily returns as 0.0036.

How should this value be interpreted?
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A researcher studies the commute times of 5 workers. The adjusted sample variance of commute times is 16. What is the unadjusted sample variance?
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A random experiment gave rise to the two-way contingency table shown. 

  

Events L and R are:

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A company has two mandatory training sessions for employees: cybersecurity training and compliance training. Suppose 15% of employees fail the cybersecurity training, 12% fail the compliance training, and 4% fail both.

If an employee is randomly chosen, what is the probability that this employee fails at least one of the training sessions?
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Consider the research question: “What are customer opinions on a new product?”

A company emails customers after their purchase asking them to submit a rating and review. Customers with particularly positive or negative experiences are more likely to respond.

Which type of bias is most likely present?
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