The calculator below estimates the mean of the population using the sample. The vicinity is found for different confidence levels using Student's t-distribution. For this to work, the following assumptions should be met: The scale of measurement has the properties of an equal-interval scale. The...
the population variance is small, ■ the sample size is large, and/or ■ the independent variable has a large dispersion. The square root of the variance of an estimated parameter is the standard error of the estimate. Thus the standard error of β^1 is σ2∕Sxx. Hence the ratio z=β...