Question

The following sample data is taken from the normal population: 10, 8, 12, 15, 13, 11, 6, 5.
a. What is the estimator of the average population
b. What is the estimator of the population standard deviation
c. At the 95% confidence level, what is the error margin of the population mean estimator
d. Determine 95% confidence intervals for the population mean

Answer 1

Given 10, 8, 12, 15, 13, 11, 6, 5

(a) The estimator of the average population is given by

(b) population standard deviation

(c) at 95% confidence level

the t value is equal to to row starting with degrees of freedom = df= 8 - 1 = 7

and column with

the error margin of the population mean estimator is given by

(d) 95% confidence intervals for the population mean is given by