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unlikely result? One of the most common ways of measuring intelligence is the IQ

ID: 3351183 • Letter: U

Question

unlikely result? One of the most common ways of measuring intelligence is the IQ test. IQ scores in the US population have an average of - of -15. Suppose I wanted to test whether socioeconomic status (SES) has an effect on IQ scores. 100 people, randomly selected from a list of the 1000 richest people in the United States. rm going to take a sample of n a Based on this information, what is the expected value of M for the sampling distribution? b. What is the standard error of the sampling distribution? c if my sample has an average IQ score of M = 99.25, what is the z-score that represents the location of this value in the sampling distribution? d. what is the probability of getting this result or greater (enter as a percentage - If your percentage is less than one full percent enter a zero before the decimal point)? e. Assuming that z-scores greater than +2 or less than -2 are unlikely to occur due to sampling error alone, is this a likely or unlikely result? Sampling error increases when we increase sample size. True or False? False

Explanation / Answer

a) Estimate of mean = Population mean = 100

b) Standard error = Sigma/ Sqrt( n) = 15/sqrt(100)=1.5

c) Z = (x-mean)/standard error = 99.25-100 / 1.5 = -0.5

d)P(z >-0.5) = 0.6915 from normal tables

e) Unlikely result