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What happens to width of interval if you decrease the sample size?
It will decrease too. * * * * * If it is the confidence interval it will NOT decrease, but will increase.
What will happen to the width of a confidence interval if the sample size is doubled from 100 to 200?
It will decrease.It will decrease
What happen to confidence interval if increase sample size and population standard deviation simultanesous?
The increase in sample size will reduce the confidence interval. The increase in standard deviation will increase the confidence interval. The confidence interval is not based on a linear function so the overall effect will require some calculations based on the levels before and after these changes. It would depend on the relative rates at which the change in sample size and change in standard deviation occurred. If the sample size increased more quickly than then standard deviation, in some sense, then the size of the confidence interval would decrease. Conversely, if the standard deviation increased more quickly than the sample size, in some sense, then the size of the confidence interval would increase.
What does a confidence interval for a population mean constructed from sample data show?
A confidence interval of x% is an interval such that there is an x% probability that the true population mean lies within the interval.
When the sample size and sample standard deviation remain the same a 99 percent confidence interval for a population mean will be narrower than the 95 percent confidence interval for the mean?
Never!
What happens to width of interval if you decrease the sample size?
It will decrease too. * * * * * If it is the confidence interval it will NOT decrease, but will increase.
What happens to the confidence interval if you increase the sample size?
The confidence interval becomes smaller.
What happens to the width of the confidence interval when you are unable to get a large sample size?
The width of the confidence interval increases.
What will happen to the width of a confidence interval if the sample size is doubled from 100 to 200?
It will decrease.It will decrease
How can you decrease the width of a confidence interval without sacrificing the level of confidence?
To decrease the width of a confidence interval without sacrificing the level of confidence, you can increase the sample size. A larger sample provides more information about the population, which reduces the standard error and narrows the interval. Additionally, using a more precise measurement technique can also help achieve a narrower interval. However, it's important to note that increasing the sample size is the most effective method for maintaining the desired confidence level while reducing width.
What happen to confidence interval if increase sample size and population standard deviation simultanesous?
The increase in sample size will reduce the confidence interval. The increase in standard deviation will increase the confidence interval. The confidence interval is not based on a linear function so the overall effect will require some calculations based on the levels before and after these changes. It would depend on the relative rates at which the change in sample size and change in standard deviation occurred. If the sample size increased more quickly than then standard deviation, in some sense, then the size of the confidence interval would decrease. Conversely, if the standard deviation increased more quickly than the sample size, in some sense, then the size of the confidence interval would increase.
What happens to the confidence interval as the sample estimate increases?
Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.
Effect on the width of the confidence interval when sample size is increased?
In general, the confidence interval (CI) is reduced as the sample size is increased. See related link.
What conditions are required to form a valid large-sample confidence interval for you?
1) What conditions are required to form a valid large-sample confidence interval for µ?
What affect does increasing the sample size have on the width of the confidence interval?
Increasing the sample size decreases the width of the confidence interval. This occurs because a larger sample provides more information about the population, leading to a more accurate estimate of the parameter. As the sample size increases, the standard error decreases, which results in a narrower interval around the sample estimate. Consequently, the confidence interval becomes more precise.
What does a confidence interval for a population mean constructed from sample data show?
A confidence interval of x% is an interval such that there is an x% probability that the true population mean lies within the interval.
When the sample size and sample standard deviation remain the same a 99 percent confidence interval for a population mean will be narrower than the 95 percent confidence interval for the mean?
Never!
