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
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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Question
What is the z statistic and critical z value(s)?

Transcribed Image Text:5
Paragraph
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.
Styles
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
the test should be one-tailed.
Editing

Transcribed Image Text:igate
Subject
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IQ
90
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108
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118
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