(b) Consider an experiment with two factors, where one factor, say, Factor B, is nested within Factor A. In other words, every level of B appears with exactly one level of Factor A. State a statistical model for this and clearly explain its parameters.
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- A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours. Language Spanish French German System 1 8 14 15 12 18 19 System 2 4 17 17 8 19 23 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use . Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square -value Factor A Factor B Interaction Error Total The p-value for Factor A is: less than…Part 1 of 4 A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. He divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 25 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 149.5, 178.9, 145.8, 195.4, 97.4, 123.4, 128.8, 121.1, 189.7, 134, 125, 93.7, 222.9, 115.5, 188.9, 87.6, 132.6, 109, 201.3, 93.1 Group B: 152.5, 138.5, 188, 52.9, 186.6, 154.3, 193, 150.1, 187.1, 122.1, 167.1, 112.2, 197.5, 131.8, 115.6, 166.2, 108, 141.3, 110.2, 164.5, 189.4, 142.2, 174, 190, 171.3 Perform a hypothesis test using a 5% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. Но: 1 H.:NoneDr. Jarry applies for a research grant to examine whether electrolyte-enriched water affects athletic performance. They propose enrolling 50 college distance runners who will consume 28 ounces of water or 28 ounces of an electrolyte-enriched solution 30 minutes before running a timed 5000 meter race. Dr. Jarry states that runners will be randomly assigned to the control group (distilled water) or the treatment group (electrolyte- enriched water). Both the electrolyte solution and the distilled water will be provided to the runners in unlabeled opaque bottles. The electrolyte solution is identical in appearance and taste to distilled water. Unfortunately, the funding agency rejects the proposal due to inadequate blinding procedures. Which of the following might have been a reason for the funding agency to reject the proposal? It is not clear whether the researcher is blinded It is not clear whether the subjects are blinded It is not clear whether either the researcher or the subjects…Part 1 of 4 A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. Ho: Ha:…A researcher is studying the effects of yoga on depression. Participants are randomly assigned to one of two groups: yoga and medication (experimental group); or support group and medication (control group). In this study, the researcher first administers a questionnaire measuring depression to all participants. Then they implement two programs simultaneously: a 6-week yoga program coupled with medication management and a 6-week support group program coupled with medication management. At the end of the 6 weeks, participants complete another questionnaire measuring depression. Finding the change scores from the beginning to end, the researcher then compares the mean change score of the experimental group with the mean change score of the control group. A) What are the independent and dependent variables in this scenario? B) What statistical test would be most appropriate to use in this study? Why? C) Once you have calculated the statistics, how do you know whether the results of the…An experiment in chicken breeding results in offspring having very curly, slightly curly, or normal feathers. If this is the result of a single gene system, then the proportions of offspring in the three phenotypes should be 0.25, 0.50, and 0.25 respectively. In one such experiment, 93 chickens were born. 20 had normal feathers, 50 had slightly curly feathers, and 23 had very curly feathers. Carry out a test to determine whether the genetic model seems to hold in this setting.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…The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 139 users of the current system, the University finds that 66 say they like the current system. In another sample of 92 experimental users of the “new” system, the University finds that 73 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the test statistic? (please round your answer to 2 decimal places)A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours. Language Spanish French German System 1 6. 12 12 10 16 16 System 2 6 15 16 10 17 22 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = .05. Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error TotalIf you had four factors, were interested in main effects and two-way interactions and wanted to conduct a three-level Central Composite Design, the total experimental runs would be the coded axial value would be ? andYou are conducting a hypothetical retrospective study on use of plastics and prevalence of current medical problems in students. You hypothesize that participants who used more plastic cups in high school will exhibit more medical problems today. You ask all PH1 students to recall how many times they drank out of plastic cups in high school. Your participants struggle to recall this information and end up guessing how often they used plastic drinking containers in high school. Your study design will be negatively impacted by: (select one) A. Misrepresentation B. Recall error C. Negative associations D. Recall bias
