Step 1
Any IQ more than 132 might be considered as unusually high.
The given information is that the modeling IQ scores follow normal distribution with mean \(\mu=16\ \text{and standard deviation} \sigma = 16.\)
Let the random variable Y represents the IQ scores.
The IQ more than three standard deviations below the mean is expected to see very rarely.
The corresponding IQ can be obtained as follows:
\(\mu\ +\ 3 \sigma = 100\ +\ 3(16) = 100\ +\ 48 = 148\)
Thus, there is very rare chance to find someone with an IQ over 148.
Step 2
Generally any IQ scores more than two standard deviations above the mean is considered as unusually high.
The corresponding IQ score can be obtained as follows:
\(\mu\ +\ 2\ \sigma = 100\ +\ 2(16) = 100\ +\ 32 = 132\)
Thus, there are more than 132 are considered as unusually high IQ scores.
High IQ Exercise 26 proposes modeling IQ scores with N(100, 16). What IQ would you consider to be unusually high? Explain.
Question
Answers (1)
2021-02-26
Relevant Questions
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\(\displaystyle\frac{{\left.{d}{y}\right.}}{{\left.{d}{t}\right.}}={3}-{2}{t}-{0.5}{y},{y}{\left({0}\right)}={1}\)
We would liketo find an approximation solution with the step siza \(h = 0.05\)
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asked 2021-03-07
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e) Approximately what sample size is needed so that a \(\displaystyle{98}\%\) confidence
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\(250 52.50\)
\(300 52.00\)
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asked 2021-02-24
Lemons and Car Crashes Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy),” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1]. Is there sufficient evidence to conclude that there is a linear correlation between weights of lemon imports from Mexico and U.S. car fatality rates? Do the results suggest that imported lemons cause car fatalities?
\(\begin{array}{|c|c|}Lemon imports &230&265&368&480&630\\ Crash FatalityRate&159&157&15.3&15.4&14.9\end{array}\)
