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Dr. Smith wants to use only students with “normal” IQ in his experiment. He defines “normal”...

Dr. Smith wants to use only students with “normal” IQ in his experiment. He defines “normal” as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study? You know that the population of IQ scores are normally distributed, have µ = 100, and have σ = 15.

Math   Statistics-And-Probability   
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Answer #1

In excel use the command=NORMSINV(0.25)

= -0.674

and =NORMSINV(0.75)

= 0.674

Therefore lowest IQ score = 89.883 (rounded up to 3 decimal places) and highest IQ score = 110.117 (rounded up to 3 decimal places)

Hope this will help you. Thank you :)

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