The Intelligence Quotient (IQ) test scores for adults are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability we could select a sample of 9 adults and find the mean of this sample is less than 98? 1) .725 2) 0.345 3) 0.345 4) .276
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The formula for SEM is: SEM = σ / √n where σ is the population standard deviation (15 in this case) and n is the sample size (9 in this case). SEM = 15 / √9 = 15 / 3 = 5 Now, we need to find the z-score for a sample mean of 98. The formula for the z-score Show more…
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Question 4: (15 points) The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. (i) What is the probability we could select a sample of 50 adults and find the mean score of this sample is less than 95? (ii) What is the probability we could select a sample of 50 adults and find the mean score of this sample is between 94 and 106?
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The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. (i) What is the probability we could select a sample of 50 adults and find the mean score of this sample is less than 95? (ii) What is the probability we could select a sample of 50 adults and find the mean score of this sample is between 94 and 106?
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