3. The model for a full factorial 24 experiment is: y=54 13x1 +14x2 + 52x3 - 19x4 + 2x12 - 6x13 +5x14 - 1x23 +5x24 - 8x34 where the coefficients shown are the parameters. If a 2-1 experiment was built with gener- ator 4 = 123, then what terms could be modeled and what would the coefficients become?

III. At the Olympic level of competition, even the smallest factors can make a difference between winning and losing. Previous research has found that Olympic marksmen shoot much better when they fire between heartbeats rather than during heartbeats (Pelton, 1983). The tiny vibration of a heartbeat appears to be enough to influence accuracy. A student at the University of Texas attempts to replicate the study with a group of collegiate marksmen. A group of collegiate marksmen (n = 6) fire a series of rounds while the student records heartbeats. For each shooter, a score is recorded for shots fired between and during heartbeats. Do the data support the earlier finding? Use alpha = .05. Shooter During Heartbeats Between Heartbeats A 93 98 В 90 94 C 95 96 92 91 E 95 97 F 91 97 State the hypotheses, critical values with df and alpha = .05, use SPSS and attach the SPSS output (which you've pasted into a word document to save the trees!) AND highlight the test-statistic and any other…

One year at a university, the algebra course director decided to experiment with a new teaching method that might reduce variability in final-exam scores by eliminating lower scores. The director randomly divided the algebra students who were registered for class at 9:40 A.M. into two groups. One of the groups, called the control group, was taught the usual algebra course; the other group, called the experimental group, was taught by the new teaching method. Both classes covered the same material, took the same unit quizzes, and took the same final exam at the same time. The final-exam scores (out of 40 possible) for the two groups are shown in the accompanying table. Find a 99% confidence interval for the ratio of the population standard deviations of final-exam scores for students taught by the conventional method and for students taught by the new method. Assume that both populations are normally distributed. (Note: s₁ = 6.613, $₂ = 5.762, and for df = (19,40), F0.005 = 2.63.) Click…

Give me an example of a single factor design and an example of a factorial design. Provide the independent variable (IV) with its levels and dependent variable (DV) for the single factor design and the independent variables with their levels and DV for the factorial design

Blood type and survival rate - In early 2020, medical researchers in China investigated the association between blood type (A, B, AB and O) and severity of COVID-19 symptoms. The researchers collected information about blood type from patients in Jinyintan hospital in Wuhan, China, in January 2020. The table below summarizes the information for a sample of 867 patients from this investigation. COVID patients Survived Died Total Blood Type A 285 42 327 Blood Type B 204 25 229 Blood Type AB 78 9 87 Blood Type O 199 25 224 Total 766 101 867 Round all answers to 4 decimal places. 1. What proportion of these COVID-19 patients had blood type AB? 2. What proportion of these COVID-19 patients died? 3. If we randomly selected one of these patients, what is the probability the patient both had blood type A and survived? 4. What is the probability a randomly selected COVID-19 patient from this sample with blood type AB died?

A researcher randomly selected 158 personal vehicles and noted the type of vehicle and its color. The two-way table displays the data. A 5-column table with 4 rows. Column 1 has entries sedan, S U V, convertible, total. Column 2 is labeled Red with entries 14, 9, 20, 43. Column 3 is labeled Blue/Green with entries 31, 19, 6, 56. Column 4 is labeled Black/Gray with entries 22, 34, 3, 59. Column 5 is labeled Total with entries 67, 62, 29, 158. The columns are titled Vehicle color and the rows are titled vehicle type. Suppose a vehicle is randomly selected. Let event C = convertible and R = red. What is the value of P(R|C)? StartFraction 29 Over 158 EndFraction StartFraction 43 Over 158 EndFraction StartFraction 20 Over 43 EndFraction StartFraction 20 Over 29 EndFraction