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if the confidence interval is 24.4 to 38.0 than the average is the exact middle:

31.2, and the margin of error is 6.8

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โˆ™ 2010-03-20 02:18:10
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Q: 99 percent confidence interval Population mean 24.4 to 38.0 find the mean sample?
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Related questions

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 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.


Compute the population mean margin of error for a 90 percent confidence interval when sigma is 4 and the sample size is 36?

1.0966


What is confidence intervals in statistics?

The Confidence Interval is a particular type of measurement that estimates a population's parameter. Usually, a confidence interval correlates with a percentage. The certain percentage represents how many of the same type of sample will include the true mean. Therefore, we would be a certain percent confident that the interval contains the true mean.


When the sample size increase what will happen to the 95 percent confidence interval?

It becomes narrower.


What happens to the confidence interval if you increase the sample size?

The confidence interval becomes smaller.


Compute the population mean margin of error for a 99 percent confidence interval when sigma is 4 and the sample size is 36?

The mean plus or minus 2.576 (4/sqr.rt. 36)= 1.72 So take your average plus or minus 1.72 to get your confidence interval


Will a random sample of the same size from a given population will produce exactly the same confidence interval for ฮผ?

No.


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 width of the confidence interval when you are unable to get a large sample size?

The width of the confidence interval increases.


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?


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 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.


How do you find the population mean for a 95 percent confidence interval?

It depends whether or not the observations are independent and on the distribution of the variable that is being measured or the sample size. You cannot simply assume that the observations are independent and that the distribution is Gaussian (Normal).


When the population is normally distributed population standard deviation s is unknown and the sample size is n equals 15 the confidence interval for the population mean s is based on the?

The Z test.


Will The finite population correction factor lead to a wider confidence interval?

No since it is used to reduce the variance of an estimate in the case that the population is finite and we use a simple random sample.


Does sample size affect survey result?

a larger the sample size will reduce the size of the confidence interval


From a population with a variance of 900 a sample of 225 items is selected At 95 percent confidence the margin of error is?

3.92


What Happens To The Width Of The Confidence Interval If You Decrease The Confidence Level Decrease The Sample Size or Decrease the margin of error?

The width of the confidence interval willdecrease if you decrease the confidence level,increase if you decrease the sample sizeincrease if you decrease the margin of error.


Is a good way to increase a confidence interval is to increase the sample size?

No, the opposite is true.


When the population standard deviation is unknown and the sample size is less than 30 what table value should be used in computing a confidence interval for a mean?

t-test for means


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.


Construct an 80 percent confidence interval for the true population mean given that the standard deviation of the population is 6 and the sample mean is 18?

THe answer will depend on whether the confidence interval is central or one-sided. If central, then -1.28 < z < 1.28 -1.28 < (m - 18)/6 < 1.28 -7.68 < m - 18 < 7.68 10.3 < m < 25.7


How do you calculate the parameter to a 99.9 confidence interval using mean and standard deviation?

Did you mean, "How do you calculate the 99.9 % confidence interval to a parameter using the mean and the standard deviation?" ? The parameter is the population mean μ. Let xbar and s denote the sample mean and the sample standard deviation. The formula for a 99.9% confidence limit for μ is xbar - 3.08 s / √n and xbar + 3.08 s / √n where xbar is the sample mean, n the sample size and s the sample standard deviation. 3.08 comes from a Normal probability table.


In the construction of confidence interval if all other quantities are unchanged an increase in the sample size will lead to a wider interval is this statement is true or false?

True