Question

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 5, 7, 5, 6, 13 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.) (b) Add 4 to each data value to get the new data set 9, 11, 9, 10, 17. Compute s. (Enter your answer to one decimal place.) (c) Compare the results of parts (a) and (b). In general, how do you think the standard deviation of a data set changes if the same constant is added to each data value? Adding the same constant c to each data value results in the standard deviation remaining the same. Adding the same constant c to each data value results in the standard deviation increasing by c units. Adding the same constant c to each data value results in the standard deviation decreasing by c units. There is no distinct pattern when the same constant is added to each data value in a set. Show My Work (Optional) Show Your Work Help You can submit show my work an unlimited number of times. 2. Question Details 0/1 Submissions Used BBUnderStat10 1.1.009. Ask Your Teacher My Notes Question Part Government agencies carefully monitor water quality and its effect on wetlands (Reference: Environmental Protection Agency Wetland Report EPA 832-R-93-005). Of particular concern is the concentration of nitrogen in water draining from fertilized lands. Too much nitrogen can kill fish and wildlife. Twenty-eight samples of water were taken at random from a lake. The nitrogen concentration (milligrams of nitrogen per liter of water) was determined for each sample. (a) Identify the variable. amount of water nitrogen concentration nitrogen concentration in the entire lake the 28 samples (b) Is the variable quantitative or qualitative? quantitative qualitative both quantitative and qualitative neither quantitative nor qualitative (c) What is the implied population? all the fish in the lake all lakes the entire lake the 28 samples that were examined

Answer 1