Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20-to-34 age group are approximately normally distributed with μ = 110 and o = 25. (a) What percent of people aged 20 to 34 have IQs between 125 and 150? Round to 4 decimal places and then convert to a percentage. (b) MENSA is an elite organization that admits as members people who score in the top 2% on IQ tests. %

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**Title: Understanding IQ Scores: Analysis and Application**

**Scores on the Wechsler Adult Intelligence Scale (WAIS)**

Scores on the Wechsler Adult Intelligence Scale, a standard IQ test, for the 20-to-34 age group are approximately normally distributed with a mean (μ) of 110 and a standard deviation (σ) of 25.

**Question (a): Percentage of IQ Scores Between 125 and 150**

What percentage of people aged 20 to 34 have IQs between 125 and 150?

- **Instructions:** Round your answer to 4 decimal places and then convert it to a percentage.

**Question (b): MENSA Membership Qualification**

MENSA is an elite organization that admits as members people who score in the top 2% on IQ tests.

What score on the Wechsler Adult Intelligence Scale would an individual aged 20 to 34 need to earn to qualify for MENSA membership?

- **Instructions:** Round your answer to 2 decimal places.

**Note:** This exercise utilizes statistical concepts focusing on normal distribution to help estimate and interpret IQ score distributions.
Transcribed Image Text:**Title: Understanding IQ Scores: Analysis and Application** **Scores on the Wechsler Adult Intelligence Scale (WAIS)** Scores on the Wechsler Adult Intelligence Scale, a standard IQ test, for the 20-to-34 age group are approximately normally distributed with a mean (μ) of 110 and a standard deviation (σ) of 25. **Question (a): Percentage of IQ Scores Between 125 and 150** What percentage of people aged 20 to 34 have IQs between 125 and 150? - **Instructions:** Round your answer to 4 decimal places and then convert it to a percentage. **Question (b): MENSA Membership Qualification** MENSA is an elite organization that admits as members people who score in the top 2% on IQ tests. What score on the Wechsler Adult Intelligence Scale would an individual aged 20 to 34 need to earn to qualify for MENSA membership? - **Instructions:** Round your answer to 2 decimal places. **Note:** This exercise utilizes statistical concepts focusing on normal distribution to help estimate and interpret IQ score distributions.
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