What is the mean of the four sample means? What is the mean of the four sample variances? A sample statistic is A sample statistic is if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter. if it consistently underestimates or overestimates the corresponding population parameter. A sample mean (that is, M = EX/n) is estimator of the population mean. A sample variance that is computed as s² = SS/(n-1) is estimator of the population variance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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What is the mean of the four sample means?
What is the mean of the four sample variances?
A sample statistic is
A sample statistic is
if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.
if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = [X/n) is
estimator of the population mean.
A sample variance that is computed as s² = SS/ (n − 1) is
estimator of the population variance.
Transcribed Image Text:What is the mean of the four sample means? What is the mean of the four sample variances? A sample statistic is A sample statistic is if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter. if it consistently underestimates or overestimates the corresponding population parameter. A sample mean (that is, M = [X/n) is estimator of the population mean. A sample variance that is computed as s² = SS/ (n − 1) is estimator of the population variance.
An industrial/organizational psychologist is consulting with Family Practice Pediatrics, which has just lost several of its best doctors to a rival pediatric
practice. The management at Family Practice would like to know what it can do to increase job satisfaction for its remaining pediatricians. The
psychologist is trying to determine whether significant information will be lost if she surveys a subset rather than every single pediatrician at Family
Practice.
The following table lists the job satisfaction scores for all eight pediatricians at Family Practice as well as four examples of possible four-pediatrician
samples. At the bottom of the table, the variance listed in the second column for all eight pediatricians is the population variance for the eight pediatricians
(that is, o² = SS/n = SS/8). The variances listed in the third through the sixth columns are the sample variances for each of the four-pediatrician samples
(that is, s² = SS/ (n − 1) = SS/3).
Pediatrician
A
B
с
D
E
F
G
H
Mean
Variance
Satisfaction
5
6
8
3
7
2
8
9
6.00
5.50
Sample 1 Sample 2 Sample 3
X
X
X
Xx
7.00
2.00
X
X
X
X
5.00
10.00
X
X
X
X
5.50
4.33
Sample 4
x
X
X
X
6.50
1.67
Transcribed Image Text:An industrial/organizational psychologist is consulting with Family Practice Pediatrics, which has just lost several of its best doctors to a rival pediatric practice. The management at Family Practice would like to know what it can do to increase job satisfaction for its remaining pediatricians. The psychologist is trying to determine whether significant information will be lost if she surveys a subset rather than every single pediatrician at Family Practice. The following table lists the job satisfaction scores for all eight pediatricians at Family Practice as well as four examples of possible four-pediatrician samples. At the bottom of the table, the variance listed in the second column for all eight pediatricians is the population variance for the eight pediatricians (that is, o² = SS/n = SS/8). The variances listed in the third through the sixth columns are the sample variances for each of the four-pediatrician samples (that is, s² = SS/ (n − 1) = SS/3). Pediatrician A B с D E F G H Mean Variance Satisfaction 5 6 8 3 7 2 8 9 6.00 5.50 Sample 1 Sample 2 Sample 3 X X X Xx 7.00 2.00 X X X X 5.00 10.00 X X X X 5.50 4.33 Sample 4 x X X X 6.50 1.67
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