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

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A random experiment gave rise to the two-way contingency table shown.

Events L and R are:

Neither independent nor mutually exclusive

Independent and mutually exclusive

Independent

Mutually exclusive

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Consider the histogram depicted below:

Which boxplot depicts the same data as the histogram?

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Consider the frequency table below displaying the number of parking tickets that a random sample of 115 individuals got in the last month.


0	82
1	24
2	9

Knowing that the sample mean is 0.365, what is the mean absolute deviation? Present you result with two decimal values.

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Consider the histogram depicted below:

Which boxplot depicts the same data as the histogram?

100%

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An economist calculated the variance of monthly household expenses in a city as 10,000.

How should this value be interpreted?

Monthly household expenses in the city typically differ by around 10,000 euros from the average.

❌

The average household spends 10,000 euros more or less than the mean.

❌

None of the options is correct.

❌

This value measures variability, but it cannot be directly interpreted in its current form.

✅

The variability in household expenses is very high.

❌

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A professional certification exam has two independent parts: a multiple-choice section and a case study section. Suppose 30% of candidates fail the multiple-choice section, 18% fail the case study section, and 7% fail both.

If a candidate is randomly chosen, what is the probability that this candidate fails at least one of the sections?

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An online retailer conducted an A/B test, randomly assigning website visitors to see either a red or blue checkout button. Visitors who saw the red button were more likely to complete their purchase. The test was conducted during the Christmas season.

We can conclude that:

The conclusions are causal but do not generalize to the population of interest.

✅

The conclusions are correlational and do not generalize to the population of interest.

❌

The conclusions are causal and generalize to the population of interest.

❌

The conclusions are correlational and generalize to the population of interest.

❌

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A quality control inspector measures the length of 12 machine parts. The adjusted sample variance of the lengths is 49. What is the unadjusted sample variance?

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Public health researchers study the effect of vaccination campaigns on disease outbreaks by analyzing infection rates across different regions in Africa.

What is the unit of analysis in this study?

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