Research has shown that IQ scores have been increas- ing for years (Flynn, 1984, 1999). The phenomenon is called the Flynn effect and the data indicate that the in- crease appears to average about 7 points per decade. To examine this effect, a researcher obtains an IQ test with instructions for scoring from 10 years ago and plans to administers the test to a sample of n 5 25 of today’s high school students. Ten years ago, the scores on this IQ test produced a standardized distribution with a mean of m 5 100 and a standard deviation s 5 15. If there actually has been a 7-point increase in the average IQ during the past ten years, then find the power of the hypothesis test for each of the following. The researcher uses a two-tailed hypothesis test with a 5 .05 to determine the data indicate a sig- nificant change in IQ over the past 10 years. The researcher uses a one-tailed hypothesis test with a 5 .05 to determine the data indicate a sig- nificant increase in IQ over the past 10 years.
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Research has shown that IQ scores have been increas- ing for years (Flynn, 1984, 1999). The phenomenon is called the Flynn effect and the data indicate that the in- crease appears to average about 7 points per decade. To examine this effect, a researcher obtains an IQ test with instructions for scoring from 10 years ago and plans to administers the test to a sample of n 5 25 of today’s high school students. Ten years ago, the scores on this IQ test produced a standardized distribution with a mean of m 5 100 and a standard deviation s 5 15. If there actually has been a 7-point increase in the average IQ during the past ten years, then find the power of the hypothesis test for each of the following.
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The researcher uses a two-tailed hypothesis test with a 5 .05 to determine the data indicate a sig- nificant change in IQ over the past 10 years.
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The researcher uses a one-tailed hypothesis test with a 5 .05 to determine the data indicate a sig- nificant increase in IQ over the past 10 years.
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