A research institute examined the IQs (intelligence quotients) in American adults and reported a mean (u) of 100 points and a standard deviation (o) of 15 points. But I wonder if the statistics in my city, Chicago, would be different from the national average. Specifically, I have a hunch that individuals in Chicago might have higher IQs compared to the national average. To test this idea, I randomly picked 18 friends of mine living in Chicago and asked them their individual IQs. The data set is shown below. (The same data are also provided in an Excel file if you choose to use Excel for your calculations.) I would like to perform a Z test to see if the IQs in Chicago (represented by the sample of 18 individuals) are significantly higher than the national average IQ. The significance level for my Z test was set at a = 05. The hypotheses should be directional because I am predicting a specific direction of difference, and
A research institute examined the IQs (intelligence quotients) in American adults and reported a mean (u) of 100 points and a standard deviation (o) of 15 points. But I wonder if the statistics in my city, Chicago, would be different from the national average. Specifically, I have a hunch that individuals in Chicago might have higher IQs compared to the national average. To test this idea, I randomly picked 18 friends of mine living in Chicago and asked them their individual IQs. The data set is shown below. (The same data are also provided in an Excel file if you choose to use Excel for your calculations.) I would like to perform a Z test to see if the IQs in Chicago (represented by the sample of 18 individuals) are significantly higher than the national average IQ. The significance level for my Z test was set at a = 05. The hypotheses should be directional because I am predicting a specific direction of difference, and
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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What is the z statistic and critical z value(s)?
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