Download Stat 4706 Fall 2006 Take-Home Final Exam Questions - Prof. Leigh Michelle Harrell and more Exams Statistics in PDF only on Docsity! Stat 4706 Fall 2006 Take-Home Portion of Final Exam Due: Beginning of In-class Final Exam Period, 12/11 at 1:05pm NO LATE PAPERS ACCEPTED! Instructions: You may use your notes and book as references to answer these questions. You may use Minitab unless otherwise specified. Show as much work as possible and attach any Minitab output used. Do not discuss this exam with anyone other than the instructor of this course, as doing so will be considered a violation of the Honor Code. This coversheet needs to be signed and turned in with the exam. Honor Pledge: I have neither given nor received any assistance on this exam. Name: Signature: 1) Since 1900, the magnitude of earthquakes that measure 0.1 or higher on the Richter Scale in California is approximately normal with a mean of 6.2 and standard deviation of 0.5, according to the data obtained from the U. S. Geological Survey. a) What is the probability that a randomly selected earthquake in California has a magnitude of 6.0 or higher? b) What is the probability that a sample of 35 earthquakes over a certain period of time has an average magnitude between 5.8 and 7.1? 2) In the Spacelab Life Sciences 2 payload, 14 male rats were sent to space. Upon their return, the red blood cell mass (in milliliters) of the rats was determined. A control group of 14 male rats was held under the same conditions (except for space flight) as the space rates and their red blood cell mass was also determined. The projected resulted in the following data. Flight Group Control Group 8.59, 8.64, 7.43, 7.21, 6.87, 7.89, 9.79, 6.85, 7.00, 8.80, 9.30, 8.03, 6.39, 7.54 8.65, 6.99, 8.40, 9.66, 7.62, 7.44, 8.55, 8.70, 7.33, 8.58, 9.88, 9.94, 7.14, 9.14 a) Find the sample mean for the flight group. b) Find the sample median for the flight group. c) Find the sample standard deviation for the flight group. d) Create a boxplot for each of the groups. e) Assume that the red blood cell mass follows a normal distribution. Complete a hypothesis test to see if the group who went to space has a mean red blood cell mass that is different than 8 mm. f) Assume that the red blood cell mass follows a normal distribution. Complete a hypothesis test to see if the difference in the means is greater than 2 mm. g) Assume that the red blood cell mass DOES NOT follow a normal distribution. Complete a hypothesis test to see if the group who went to space has a mean red blood cell mass that is different than 8 mm. h) Assume that the red blood cell mass DOES NOT follow a normal distribution. Complete a hypothesis test to see if the group who went to space has a mean red blood cell mass that is different than 8 mm. 3) A random digit generator should produce the digits 0 to 9 inclusive with equal probability. In a sample of 100, we observe 10 zeros, 8 ones, 9 twos, 11 threes, 12 fours, 7 fives, 10 sixes, 13 sevens, 9 eights, and the rest nines. Complete a hypothesis test to see if the data follows the specified distribution. 4) Use an ANOVA procedure to determine which of the effects (main and interaction) in this design are significant. Factor A Temperature Level 1 Level 2 Level 3 Level 4 Factor B Humidity Level 1 40, 36,43 39, 36, 33 32, 34, 29 33, 27, 25 Level 2 36, 34, 29 32, 26, 25 26, 23, 24 20, 22, 18
