In: Statistics and Probability
Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish to construct a 95% confidence interval for the mean height of males from a certain country. Forty-eight males are surveyed from a particular country. The sample mean is 70 inches. The sample standard deviation is 2.9 inches.
Construct a 95% confidence interval for the population mean height of males of this country.
(i) State the confidence interval. (Round your answers to two decimal places.)
(ii) Sketch the graph.
(iii) Calculate the error bound. (Round your answer to two decimal places.)