The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. What is the probability we could select a sample of 80 adults and find the mean of this sample is between 95 and 105? Multiple Choice 0.0028 0.2624 near zero 0.9972
Added by Justin S.
Step 1
Given: Population mean (μ) = 100 Population standard deviation (σ) = 15 Sample size (n) = 80 Z-score formula: Z = (X - μ) / (σ / √n) For X = 95: Z1 = (95 - 100) / (15 / √80) = -2.9761 For X = 105: Z2 = (105 - 100) / (15 / √80) = 2.9761 Show more…
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