Question

Why are sample and population confidence intervals calculated differently?

Answer 1

Sample is a group of people, objects, or items that are taken from a large population for measurement, The sample should be representative of the population to ensure that we can generalise the findings from the research sample to the population as a whole.

A confidence interval is how much uncertainty there is with any particular statistic.Confidence intervals are often used with a margin or error.It tells how confident you can be that the result from the survey reflect what you would expect to find if it were possible to survey the entire population. Confidence interval mentioned in range for calculated mean like if we get mean 6 , confidence interval will be (5,7).

A confidence interval is an interval of values instead of a single point estimate.The level of confidence corresponds to the expected proportion of intervals that will contain the parameter if many confidence intervals are constructed of the same sample size from the same population. When we calculate sample and confidence interval we cont able to assume range for confidence interval.