QQuestionStatistics
QuestionStatistics
a. If your IQ is 130, the average population IQ is 100, and the standard deviation is 15, what is your z-score?
b. How many standard deviations are above the mean?
c. What does that suggest about your IQ compared to the population?
d. If the average IQ of the population is 100 and the standard deviation is 15, what is the 95 percent confidence interval?
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Answer
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Step 1I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2: Calculate the Z-Score
z = \frac{130 - 100}{15} = \frac{30}{15} = 2
Where:
Final Answer
a. Z-score: 2 b. Standard deviations above mean: 2 c. Your IQ is in the top 2.5% of the population d. 95% Confidence Interval: [70.6, 129.4]
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