Confidence Interval Population Mean. Sample Size n. The motivation for creating a confidence interval for a mean. We are 95 confidence that the true mean is between 4465 and 5935. Please report the error to Dr.
For the specified confidence interval CL calculate alpha 1 - CL Find the probability fracalpha2. A one-sided confidence interval brackets the population parameter either from above or below and furnishes an upper or lower bound to its magnitude. A confidence intervalgives an estimated range of values which is likely to include an unknown population parameter the estimated range being calculated from a given set of sample data. The motivation for creating a confidence interval for a mean. The general format of a confidence interval estimate of a population mean is. In general a confidence interval for an unknown parameter is a recipe that in repeated samples yields intervals that contain the true parameter with a prespecified probability the confidence level.
For variable X j a confidence interval estimate of its population mean μ j is.
Sample mean Multiplier Standard error of mean. Definition taken from Valerie J. For example we might collect a sample of 30 turtles and find that the mean weight of this sample is 102 pounds. In this formula x j is the sample mean s j is the sample standard deviation and n. X j Multiplier s j n. For the specified confidence interval CL calculate alpha 1 - CL Find the probability fracalpha2.