No Spacing Heading 1 V Gc Replace Dictate Select ~ Styles Editing Voice 2) Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are presented in the table below. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Carpeted Rooms Uncarpeted Rooms (bacteria/cubic foot) (bacteria/cubic food) 11.8 12.1 8.2 8.3 7.1 38 13.0 72 10.8 12.0 10.1 11.1 14.6 10.1 14.0 13.7 Source: William G. Walter and Angie Stober. "Microbial Air Sampling in a Carpeted Hospital" Journal of Environmental Health, 30 (1968). a) Do carpeted rooms have more bacteria than uncarpeted rooms? (Points: 10) State the null and alternative hypotheses in words. ii State the null and alternative hypotheses using the mathematical notation. b) Use the insert equation button from Microsoft Word to type the formula(s) for calculating the test statistic. Click on the Insert tab, then click on the Equation button, then use the Structures buttons and the Symbols buttons from the Equation Tools Design tab to type your formula. Note: The roman letters from your keyboard, such as z, x, s, or n also work when typing your formula in equation mode. (Points: 5) c) Use Microsoft Excel Data Analysis ToolPak to test whether carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance. Copy and paste the Microsoft Excel worksheet ply containing the test results in your Word Document. (Points: 15) d) What is your final answer for the test statistic according to the Microsoft Excel worksheet ply containing the test results? (Points: 5) e) What is (are) the critical value(s) for this hypothesis test according to the Microsoft Excel worksheet ply containing the test results? If this is a one-tailed test, make sure you report one critical value. If this is a two-tailed test, make sure you report two critical values. (Points: 5) f) Does the sample evidence suggest that carpeted rooms have more bacteria than uncarpeted rooms? State the correct conclusion ( There is sufficient evidence at the a = 0 05 significance level to support..." or "There is NOT sufficient evidence at the a = 0.05 significance level to support .."). Make sure you state the conclusion in terms of Hr- (Points: 10)
