11. Thomas is studying the relationship between fitness and emotional well-being in children. One of his DVs is each child's weight. For his population of interest, u= 85 (in pounds) and o= 8. Suppose Thomas repeatedly takes random samples of 225 children from this population, and for each sample he calculates the mean. What will be the shape of the distribution of sample means? A. a. positively skewed b. negatively skewed c. normal d. it's impossible to tell without knowing the shape of the original population distribution В. What will be the mean of the distribution of sample means? C. What will be the standard error of the distribution of sample means? D. Suppose Thomas increased the sample size from 225 to 300. What would happen to the standard error? a. it would increase b. it would decrease c. it would stay the same d. it's impossible to tell without knowing the shape of the original population distribution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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11. Thomas is studying the relationship between fitness and emotional well-being in children. One of his
DVs is each child's weight. For his population of interest, u=85 (in pounds) and o = 8. Suppose Thomas
repeatedly takes random samples of 225 children from this population, and for each sample he calculates the
mean.
А.
What will be the shape of the distribution of sample means?
a. positively skewed
b. negatively skewed
c. normal
d. it's impossible to tell without knowing the shape of the original population distribution
В.
What will be the mean of the distribution of sample means?
C.
What will be the standard error of the distribution of sample means?
D.
Suppose Thomas increased the sample size from 225 to 300. What would happen to the standard
error?
a. it would increase
b. it would decrease
c. it would stay the same
d. it's impossible to tell without knowing the shape of the original population distribution
Transcribed Image Text:11. Thomas is studying the relationship between fitness and emotional well-being in children. One of his DVs is each child's weight. For his population of interest, u=85 (in pounds) and o = 8. Suppose Thomas repeatedly takes random samples of 225 children from this population, and for each sample he calculates the mean. А. What will be the shape of the distribution of sample means? a. positively skewed b. negatively skewed c. normal d. it's impossible to tell without knowing the shape of the original population distribution В. What will be the mean of the distribution of sample means? C. What will be the standard error of the distribution of sample means? D. Suppose Thomas increased the sample size from 225 to 300. What would happen to the standard error? a. it would increase b. it would decrease c. it would stay the same d. it's impossible to tell without knowing the shape of the original population distribution
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