Research has shown that IQ scores have been increasing for years (Flynn, 1984, 1999). The phenomenon is called the Flynn effect and the data indicate that the increase 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 administer the test to a sample of n = 25 of today’s high school students. Ten years ago, the scores on this IQ test produced a standardized distribution with a mean of µ = 100 and a standard deviation σ = 15. If there actually has been a 7-point increase in the average IQ during the past 10 years, then find the power of the hypothesis test for each of the following. The researcher uses a two-tailed hypothesis test with α = .05 to determine the data indicate a significant change in IQ over the past 10 years. (Round your answer for z-score value to two decimal places.) The power for the test is the probability of obtaining a z-score than , which is p = . The researcher uses a one-tailed hypothesis test with α = .05 to determine the data indicate a significant increase in IQ over the past 10 years. (Round your answer for z-score value to two decimal places.) The power for the test is the probability of obtaining a z-score than , which is p = .

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Research has shown that IQ scores have been increasing for years (Flynn, 1984, 1999). The phenomenon is called the Flynn effect and the data indicate that the increase 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 administer the test to a sample of n = 25 of today’s high school students. Ten years ago, the scores on this IQ test produced a standardized distribution with a mean of µ = 100 and a standard deviation σ = 15. If there actually has been a 7-point increase in the average IQ during the past 10 years, then find the power of the hypothesis test for each of the following.

The researcher uses a two-tailed hypothesis test with α = .05 to determine the data indicate a significant change in IQ over the past 10 years. (Round your answer for z-score value to two decimal places.)

The power for the test is the probability of obtaining a z-score than

, which is p =

The researcher uses a one-tailed hypothesis test with α = .05 to determine the data indicate a significant increase in IQ over the past 10 years. (Round your answer for z-score value to two decimal places.)

The power for the test is the probability of obtaining a z-score than

, which is p =

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