Question 298272: Can anybody HELP! with these questions, Greatly appreciated. Thank You All.
A) What role does a sample play in determining the point estimate? Let's say we're trying to determine the average age of a town; how might we use a sample to do this?
B)What is a confidence interval centered on? How do we determine its width? What role does the level of confidence play?
If α = 0.10, and we have a one-tailed situation, what would be the critical value? What would be the corresponding critical region?
C)"Level of confidence"
What does the level of confidence tell us about a confidence interval? What are typical values of the level of confidence?
Let's say we're trying to prove that the population mean is greater than 15. What would be the null hypothesis?
D) "Type 1 error"
Assume that the analysis was conducted properly; why was the null hypothesis rejected, even though it is true?
E) "Critical region"
α is the likelihood of a Type I error. How do we calculate the critical value, knowing α?
F)What is the relationship between the maximum error of estimate and the width of a confidence interval? How is the maximum error of estimate calculated?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A) What role does a sample play in determining the point estimate? Let's say we're trying to determine the average age of a town; how might we use a sample to do this?
Take a random sample and find the average of the people in the sample.
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B)What is a confidence interval centered on?
It is centered on the mean of a sample.
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How do we determine its width?
The width is 2 times the standard error
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What role does the level of confidence play?
More confidence requires a wider confidence interval.
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If α = 0.10, and we have a one-tailed situation, what would be the critical value?
z = 1.2816..
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What would be the corresponding critical region?
10%
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C)"Level of confidence"
What does the level of confidence tell us about a confidence interval?
We have a certain confidence that a population parameter is between
such and such numbers.
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What are typical values of the level of confidence?
95%,99%
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Let's say we're trying to prove that the population mean is greater than 15. What would be the null hypothesis?
Ho: u <= 15 because equality must ALWAYS be stated in Ho.
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D) "Type 1 error"
Assume that the analysis was conducted properly; why was the null hypothesis rejected, even though it is true?
Type I error is the probability Ho is rejected when in fact it is true.
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E) "Critical region"
α is the likelihood of a Type I error. How do we calculate the critical value, knowing α?
Find the z or t value(s) that is the boundary for the reject tail(s).
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F)What is the relationship between the maximum error of estimate and the width of a confidence interval?
The width of the interval is two times the max error of estimate.
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How is the maximum error of estimate calculated?
ME = z*(std) where z depends on the level of confidence
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Cheers,
Stan H.
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