Question

Reserve Problems Chapter 8 Section 2 Problem 4 The number of steps to cover the same distance was measured for 41 randomly chosen people. The sample mean is = 1800 steps and the sample standard deviation is s = 360 steps. Assume distribution to be normal. Round your answers to the nearest integer (e.g. 9876). a) Construct a 90% two-sided confidence interval on the mean. sust b) Construct a 90% lower confidence bound on the mean. u c) Construct a 90% upper confidence bound on the mean. <

Answer 1

The solution to this problem is given by

Solution Given data is Sample Size = n = 41 Sample Mean = = 1800 Sample standard ebviation - S=360 (al The two-sided confidence internal on the Mean is given by t I 1.645 S J 1800 t 1.645X 360 val 1800 | 99.486 (1800 -99.486 , 1800+99.486) ( 1707.5139, 1899-4861) 1708, 1892) 1708s y = 11892 (b) The 90% lower confidence bound on the main M Z1708 (CI The poy. Upper confidence bound on the mean ne 1892