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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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: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
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PSY230 Miller
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IQ
90
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87
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92
118
Transcribed Image Text:igate Subject 1 2 3 4 5 6 7 8 9 PSY230 Miller Dill copere contient and matural scieną duszpanel PER MANGE t the usbrucken vill se destaEURE COUPEZ Seasonal must strani ter uploading to any course shell, comply with applicable prefekk bra Coulty member 10 11 12 13 BHSK7% 14 15 16 17 IQ 90 18 108 96 98 94 128 92 100 114 122 134 94 112 109 87 115 92 118
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