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Questions and Answers
What does a narrow confidence interval indicate about the sample mean?
What does a narrow confidence interval indicate about the sample mean?
- It is biased
- It is imprecise
- It is highly variable
- It is fairly precise (correct)
In constructing a confidence interval, what are calculated to determine the range?
In constructing a confidence interval, what are calculated to determine the range?
- The mean and median
- The standard deviation and variance
- The mode and range
- The lower and upper bounds (correct)
What percentage of the time would a 95% confidence interval fail to include the population parameters if the experiment were repeated multiple times?
What percentage of the time would a 95% confidence interval fail to include the population parameters if the experiment were repeated multiple times?
- 15%
- 1%
- 10%
- 5% (correct)
What does the value of 'α' represent in the context of confidence intervals?
What does the value of 'α' represent in the context of confidence intervals?
In a two-tailed test for a confidence interval, what implication does having two alternatives hold?
In a two-tailed test for a confidence interval, what implication does having two alternatives hold?
What calculation method is utilized to determine the lower and upper bounds in a confidence interval?
What calculation method is utilized to determine the lower and upper bounds in a confidence interval?
What is the first step in calculating a 95% confidence interval for a mean?
What is the first step in calculating a 95% confidence interval for a mean?
In finding a 95% confidence interval for a mean, what does multiplying the standard error by 1.96 help to determine?
In finding a 95% confidence interval for a mean, what does multiplying the standard error by 1.96 help to determine?
What is the purpose of calculating a confidence interval for a mean value in statistics?
What is the purpose of calculating a confidence interval for a mean value in statistics?
What does a 95% confidence interval of 200.1 to 211.9 mean in relation to a population mean?
What does a 95% confidence interval of 200.1 to 211.9 mean in relation to a population mean?
Which mathematical operation is used to determine the upper limit of a 95% confidence interval?
Which mathematical operation is used to determine the upper limit of a 95% confidence interval?
If the standard error for a mean is 4, what is the margin of error when calculating a 95% confidence interval?
If the standard error for a mean is 4, what is the margin of error when calculating a 95% confidence interval?
What action was taken regarding the null hypothesis when the value calculated for t (3.75) was not between ± 0.975?
What action was taken regarding the null hypothesis when the value calculated for t (3.75) was not between ± 0.975?
Which value is considered too unlikely or rare in the context of hypothesis testing?
Which value is considered too unlikely or rare in the context of hypothesis testing?
What parameter helps in detecting a difference of a specified magnitude in hypothesis tests?
What parameter helps in detecting a difference of a specified magnitude in hypothesis tests?
What did setting the alpha level at a=0.05 determine in the hypothesis testing scenario mentioned?
What did setting the alpha level at a=0.05 determine in the hypothesis testing scenario mentioned?
What was the consequence of deeming the observed outcome too unlikely or rare under the assumption of the null hypothesis being true?
What was the consequence of deeming the observed outcome too unlikely or rare under the assumption of the null hypothesis being true?
In hypothesis testing, what measure can be easily obtained to determine the rarity of an observed outcome assuming the null hypothesis is true?
In hypothesis testing, what measure can be easily obtained to determine the rarity of an observed outcome assuming the null hypothesis is true?
What does a 95% confidence interval for a percentage represent?
What does a 95% confidence interval for a percentage represent?
Why is the statement 'There is a 95% probability that the true effect is located within the confidence interval' incorrect?
Why is the statement 'There is a 95% probability that the true effect is located within the confidence interval' incorrect?
How would you describe transforming the standard error into a 95% confidence interval?
How would you describe transforming the standard error into a 95% confidence interval?
Which of the following best describes a 95% confidence interval?
Which of the following best describes a 95% confidence interval?
Why can't we assign a probability to whether the true effect is within a confidence interval?
Why can't we assign a probability to whether the true effect is within a confidence interval?
What does a confidence interval represent?
What does a confidence interval represent?
Why do epidemiologists often interpret confidence intervals as guides rather than strict ranges?
Why do epidemiologists often interpret confidence intervals as guides rather than strict ranges?
How is the precision of an estimate related to the width of a confidence interval?
How is the precision of an estimate related to the width of a confidence interval?
What criterion is commonly used to determine the size of a confidence interval?
What criterion is commonly used to determine the size of a confidence interval?
What is one reason why epidemiologists use a common-sense approach to interpreting confidence intervals?
What is one reason why epidemiologists use a common-sense approach to interpreting confidence intervals?
Which of the following is NOT a property or use of confidence intervals?
Which of the following is NOT a property or use of confidence intervals?
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