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

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A research team wants to determine the proportion of university students who regularly use public transportation. They survey a random sample of 1,000 students.

The key parameter of interest most likely is:

The number of university students surveyed

None of the options is correct

The proportion of all university students who use public transportation

The proportion of surveyed students who use public transportation

Whether or not a student uses regularly uses public transportation

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A university offers two mathematics courses: Algebra and Calculus. Suppose 35% of students fail Calculus, 22% fail Algebra, and 6% fail both courses.

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

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A consulting firm analyzes data from a sample of small businesses to predict the future bankruptcy rate for similar businesses nationwide.

Descriptive Analysis

None of the options is correct

Inferential Analysis

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Consider the frequency table below displaying the number of parking tickets that a random sample of 133 individuals got in the last month.


0	75
1	48
2	10

Knowing that the sample mean is 0.511, what is the mean absolute deviation? Present you result with two decimal values.

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At a sustainability conference, researchers surveyed attendees of a panel session titled “How Solar Energy Can Reduce Household Costs” and found that people who installed solar panels reported lower electricity bills.

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 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 research question: “What is the average household income in a city?”

Researchers conduct telephone interviews, but they only call landline numbers, which are more common among older residents.

Which type of bias is most likely present?

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A market researcher calculated the variance of customer satisfaction ratings (on a scale from 1 to 10) as 3.2.

How should this value be interpreted?

Customers typically rate satisfaction 3.2 points above or below 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 satisfaction is quite moderate.

Most customer ratings differ by about 3.2 from the mean.

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Consider the histogram depicted below:

Which boxplot depicts the same data as the histogram?

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