Confidence interval for a mean with a finite population correction

Computes a confidence interval for a population mean with a finite population correction (fpc) using the estimated mean, estimated standard deviation, sample size, and population size. This function is useful when the sample size is not a small fraction of the population size.

For more details, see Section 1.33 of Bonett (2021, Volume 1)

Usage

ci.mean.fpc(alpha, m, sd, n, N)

Arguments

alpha

alpha level for 1-alpha confidence

m

estimated mean

sd

estimated standard deviation

n

sample size

N

population size

Value

Returns a 1-row matrix. The columns are:

• Estimate - estimated mean

• SE - standard error with fpc

• LL - lower limit of the confidence interval with fpc

• UL - upper limit of the confidence interval with fpc

References

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

Examples

ci.mean.fpc(.05, 24.5, 3.65, 40, 300)
#>  Estimate        SE       LL       UL
#>      24.5 0.5381631 23.41146 25.58854

# Should return:
# Estimate        SE       LL       UL
#     24.5 0.5381631 23.41146 25.58854