In a factorial experiment, Jessica studied the effects of vibration rates (Factor A) on seed germination of rice cultivars (Factor B). The experiment has 5 replication, each is handled by a research assistant. The experiment involves placing 100 seeds in a petri dish as one experimental unit and recording seed germination after applying the vibration treatments. The experiment is conducted as a Block Desing to eliminate errors due to variations in the accuracy of research assistants. What is the Block degrees of freedom (df)? SOV Block Factor A Factor B AxB Error Total df ??? 4 3 SS 29 66 59 50 500 MS F
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- In a study of fertilizers, researchers randomly selected 25 corn farms that use Brand A fertilizer and 25 corn farms that use Brand B fertilizer to participate. Each corn farm that uses Brand A was matched with a corn farm of similar acreage and soil type that uses Brand B. The difference in the number of bushels of corn produced in one growing season was determined for each pair. What type of study is this? (A) An observational study (B) An uncontrolled experiment (C) A randomized comparative experiment (D) A matched pairs experiment (E) A randomized complete block design experimentDr. 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…Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?
- A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 400,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 200,000 children in the experimental group, 41 developed the disease. Of the 200,000 children in the control group, 109 developed the disease. Complete parts (a) through (f) below. (d) What is a placebo? OA. An innocuous medication OB. Whatever does the opposite of the actual medication OC. A pill OD. Water (e) Why is such a large number of subjects needed for this study? OA. The number of subjects is so large because the vaccine is very effective. OB. The number of subjects is so large because a large sample size is needed to ensure that the samples are independent. OC. The number of subjects is so large because these are clinical trials, which require a…A study indicates that CB radio use speeds up activity in the brain. As part of a randomized crossover study, 36 participants were fitted with a CB radio device on each ear and then underwent two positron emission topography, or PET, scans to measure brain glucose metabolism. During one scan, the CB radios were both turned off. During the other scan, an automated 40- minute muted signal was sent to the radio on the right ear. The order of when the signal was received (for the first or second scan) was randomized. Comparison of the PET scans showed a minor increase in activity in the part of the brain closest to the antenna during the transmission of the automated signal. Was this an observational study or an experiment? Explain why. O The study is an observational study because the reseashers cannot control the response variable during the signal. O The study is an observational study because the researchers only observe values of the response and explanatory variables. O The study is…Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 461 depressed individuals is selected and treated with Resithan, and 172 find relief from their depression. A random sample of 419 depressed individuals is independently selected from the first sample and treated with Exemor, and 121 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.01 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as…
- The improved crop varieties are evaluated at farmers fields before their release for a large scale production. The claim made by a chickpea breeder is that, on average, her improved variety produces higher yield of chickpea compared to the local variety grown by farmers in her region. To examine her claim, the improved variety of chickpea was evaluated at 25 randomly selected farmer-fields (farms) in that region. Each field was divided into two parts, one part of the field was randomly assigned to the improved variety to be grown under a crop management practice recommended for this variety, and the other part to the local variety with an ongoing practice followed for it. You may note there were 25 different fields and the two varieties were grown within each of them. The chickpea yields of the two varieties were measured, in kg per hectare, from each of the fields. The following R- code outputs contain the information that you may use to answer the questions. The data vectors,…Researchers notice that access to food may be related to later success in secondary education. Researchers formulate a hypothesis that says: teenagers are more likely to graduate high school in cities with more food banks per capita compared to cities that have fewer food banks per capita. They run a pilot study with n = 4 neighborhood blocks, sampled randomly across cities in the U.S. Here, x = number of food banks in the target city and y = number of high school graduates in a 4x4 block radius. The data are presented in the table below. What is the correlation between access to food banks (x) and high school graduation (y)? a) Calculate the sum of products b) Calculate Pearson’s rBased on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 422 depressed individuals is selected and treated with Resithan, and 167 find relief from their depression. A random sample of 579 depressed individuals is independently selected from the first sample and treated with Exemor, and 203 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.01 level of significance, that the proportion p₁ of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p₂ of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in…
- 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…Xu and Garcia (2008)conducted a research study demonstrating that 8-month-old infants appear to recognize which samples are likely to be obtained from a population and which are not. In the study, the infants watched as a sample of n = 5 ping-pong balls was selected from a large box. In one condition, the sample consisted of 1 red ball and 4 white balls. After the sample was selected, the front panel of the box was removed to reveal the contents. In the expected condition, the box contained primarily white balls like the sample, and the infants looked at it for an average of M = 7.5 seconds. In the unexpected condition, the box had primarily red balls, unlike the sample, and the infants looked at it for M = 9.9. The researchers interpreted the results as demonstrating that the infants found the unexpected result surprising and, therefore, more interesting than the expected result. Assuming that the standard error for both means is σM = 1 second, draw a bar graph showing the two sample…An agronomist is interested in comparing the efficacy of two fumigants (A and B) and a control (O) in eliminating wireworms. A field is divided into 4 sections, each section containing 3 plots. Fumigant A, B and O were randomly assigned to one plot within each section. The number of wireworms that remained on each plot after application of fumigant was recorded. Give a possible RCBD layout for the experiment.