Two sided interval estimation of mu of one normal sample — interval_estimate1 • OneTwoSamples

Compute the two sided interval estimation of mu of one normal sample when the population variance is known or unknown.

Usage

interval_estimate1(x, sigma = -1, alpha = 0.05)

Arguments

x: A numeric vector.
sigma: The standard deviation of the population. sigma>=0 indicates it is known, sigma<0 indicates it is unknown. Default to unknown standard deviation.
alpha: The significance level, a real number in [0, 1]. Default to 0.05. 1-alpha is the degree of confidence.

Value

A data.frame with variables:

mean: The sample mean.
df: The degree of freedom.
a: The confidence lower limit.
b: The confidence upper limit.

References

Zhang, Y. Y., Wei, Y. (2013), One and two samples using only an R funtion, doi:10.2991/asshm-13.2013.29 .

Author

Ying-Ying Zhang (Robert) robertzhangyying@qq.com

Examples

x=rnorm(10, mean = 1, sd = 0.2); x
#>  [1] 1.3777010 0.9805110 0.8128305 0.9968099 0.8346422 0.6975201 1.1870726
#>  [8] 1.0352977 1.0487371 1.3247098
interval_estimate1(x, sigma = 0.2)
#>       mean df         a        b
#> 1 1.029583 10 0.9056242 1.153542
interval_estimate1(x)
#>       mean df         a       b
#> 1 1.029583  9 0.8728165 1.18635