If the sociologist can sample 100 women, what will the margin of error be?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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It is if the sociologist can sample 100 woman the other paper is just so you understand where the question is coming from. 

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If the sociologist can sample 100 women, what will the margin of error be?
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Transcribed Image Text:anued from previous sampie: If the sociologist can sample 100 women, what will the margin of error be? Previous Next ype here to search 近
Example Problems - Margin of Error
Sample Problems:
Anytime you're trying to estimate a number from a population (like the average gas price in the
States), you include a margin of error. You need to accurately calculate the sample size neede
particular margin of error you want.
A sociologist is interested in the average age women get married. The sociologist knows that
population standard deviation of age at first marriage is three years for women and hasn't cha
the last 60 years. The sociologist would like to demonstrate with 95% confidence that the me
the first marriage for women.
The following table provides the z*- values for selected (percentage) confidence levels.
If.the sociologist can sample only_50 women, what will
the margin of error be?
The formula for margin of error when estimating a
population mean is
Pereestags Coddese
MOE +
where z is the value from the table for a given
confidence level (95 % in this case, or 1.96). o is the
standard deviation (3 years), and n is the sample
size (50). Now, substitute the numbers into the
formula and solve:
3 years
MOF=1.96
=t1.96 (0.4243 years)
=10.83 years
With 50 women in the sample. the sociologist has a margin of error of plus/minus 0.83 years.
ne beE
to search
T1
Transcribed Image Text:Example Problems - Margin of Error Sample Problems: Anytime you're trying to estimate a number from a population (like the average gas price in the States), you include a margin of error. You need to accurately calculate the sample size neede particular margin of error you want. A sociologist is interested in the average age women get married. The sociologist knows that population standard deviation of age at first marriage is three years for women and hasn't cha the last 60 years. The sociologist would like to demonstrate with 95% confidence that the me the first marriage for women. The following table provides the z*- values for selected (percentage) confidence levels. If.the sociologist can sample only_50 women, what will the margin of error be? The formula for margin of error when estimating a population mean is Pereestags Coddese MOE + where z is the value from the table for a given confidence level (95 % in this case, or 1.96). o is the standard deviation (3 years), and n is the sample size (50). Now, substitute the numbers into the formula and solve: 3 years MOF=1.96 =t1.96 (0.4243 years) =10.83 years With 50 women in the sample. the sociologist has a margin of error of plus/minus 0.83 years. ne beE to search T1
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