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A) If the data is weight, the \( z \)-score for someone who is overweight would be: negative zero positive B) If the data is IQ test scores, an individual with a negative z-score would have a: low IQ average IQ high IQ watch very little TV watch the average amount of TV watch a lot of TV data is time spent watching TV, an individual with a z-score of zero would: D) If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be: negative zero positive

Ask by Warren Sandoval. in the United States
Mar 13,2025

Upstudy AI Solution

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Answer

A) Positive B) Low IQ C) Watch the average amount of TV D) Negative

Solution

Let's analyze each part of the problem step by step. ### A) Z-score for someone who is overweight The \( z \)-score is a measure of how many standard deviations an element is from the mean. - If someone is overweight, their weight is above the average weight of the population. - Therefore, their \( z \)-score would be **positive**. ### B) Z-score for an individual with a negative z-score in IQ test scores A negative \( z \)-score indicates that the individual's score is below the mean. - Thus, an individual with a negative \( z \)-score would have a **low IQ**. ### C) Z-score of zero for time spent watching TV A \( z \)-score of zero indicates that the individual's value is exactly equal to the mean. - Therefore, an individual with a \( z \)-score of zero would **watch the average amount of TV**. ### D) Z-scores of people who make minimum wage in the U.S. Minimum wage is typically below the average salary of the population. - Hence, the \( z \)-scores of people who make minimum wage would be **negative**. ### Summary of Answers: A) Positive B) Low IQ C) Watch the average amount of TV D) Negative

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The Deep Dive

When discussing z-scores, it’s essential to understand how they relate to a standard normal distribution. A positive z-score means a value is above the mean, while a negative z-score indicates it falls below the average. So, in your example, someone overweight typically has a higher weight than the average, resulting in a positive z-score! In terms of IQ tests, a negative z-score indicates a score lower than the average IQ, which is set at 100. Thus, an individual with such a z-score is more likely to be classified as having a low IQ. As for minimum wage earners, their earnings are generally below the average salary in the U.S., leading to negative z-scores as well!

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