95. 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 male swedes. forty-eight male swedes are surveyed. the sample mean is 71 inches. the sample standard deviation is 2.8 inches. a. i. x ¯ = ii. σ = iii. n = b. in words, define the random variables x and x ¯ . c. which distribution should you use for this problem? explain your choice. d. construct a 95% confidence interval for the population mean height of male swedes. i. state the confidence interval. ii. sketch the graph. iii. calculate the error bound.