Using this x? value, you can now use the table on p. 12 of your learning objective notes. To use this table, you will first need to determine the number of degrees of freedom for this set of data. Recall: degrees of freedom = number of categories - 1 Answer:
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- A disgruntled employee of a prominent delivery company in Baltimore County is accused of adding water into the fuel tanks of a large fleet of delivery vehicles. The manager asked the guard who observed the act to walk the parking lot with him to identify a sample of vehicles closer to the guards' booth. Upon returning to his office, the manager figured that since all the vehicles were of the same color, same engine size, and were on an inventory purchased and delivered just about the same year when all the previously existing vehicles were sold away, the decision to include the entire fleet for testing prior to filing the police report. The vehicles inventory could be described as . . .In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data were gathered on a random sample of 10 wilderness districts in the winter feeding area. Row B represents the average January deer count for a 5-year period before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was built. The highway department claims that the January population has not changed. Test this claim against the claim that the January population has dropped. Use a 5% level of significance. Units used in the table are hundreds of deer. (Let d = B − A.) Wilderness District 1 2 3 4 5 6 7 8 9 10 B: Before highway 10.1 7.2 12.9 5.6 17.4 9.9 20.5 16.2 18.9 11.6 A: After highway 9.3 8.4 10.2 4.1 4.0 7.1 15.2 8.3 12.2 7.3 What…A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer. As part of the study, 1,000 adult volunteers were randomly assigned to one of two groups. Half of the volunteers were assigned to the experimental group that took a low-dose aspirin each day, and the other half were assigned to the control group that took a placebo each day. At the end of six years, 15 of the people who took the low-dose aspirin had developed colon cancer and 26 of the people who took the placebo had developed colon cancer. At the significance level α = 0.05, do the data provide convincing statistical evidence that taking a low-dose aspirin each day would reduce the chance of developing colon cancer among all people similar to the volunteers?
- Mendelian Genetics Experiments are conducted with hybrids of two types of peas. If the offspring follow Mendel’s theory of inheritance, the seeds that are produced are yellow smooth, green smooth, yellow wrinkled, and green wrinkled, and they should occur in the ratio of 9:3:3:1, respectively. An experiment is designed to test Mendel’s theory, with the result that the offspring seeds consist of 307 that are yellow smooth, 77 that are green smooth, 98 that are yellow wrinkled, and 18 that are green wrinkled. Use a 0.05 significance level to test the claim that the results contradict Mendel’s theory.In a base-rate neglect experiment, subjects are randomly divided into two groups, namely A and B. Subjects in Group A are told that Max has been randomly drawn from a population of 95% nurses and 5% doctors. Subjects in Group B are told that Max has been randomly drawn from a population of 5% nurses and 95% doctors. All subjects from both groups are provided with the following description about Max: Max lives in a beautiful house and drives an expensive car; he invests a lot of time in his career. All subjects from both groups are told that the probability that Max fits the description given that he is a doctor is 80%, and the probability that Max fits the description given that he is a nurse is 20%. All subjects from both groups are then asked to estimate the probability that Max is a doctor given that he fits the description. 1. Suppose subjects in Group A correctly use the probability theory. What should be their estimate? From this please explain why this experiment can test…A particular article reported the accompanying data on phenotypes resulting from crossing tall cut-leaf tomatoes with dwarf potato-leaf tomatoes. There are four possible phenotypes: (1) tall cut-leaf, (2) tall potato-leaf, (3) dwarf cut-leaf, and (4) dwarf potato-leaf. Mendel's laws of inheritance imply that ?1 = 9/16, ?2 = 3/16, ?3 = 3/16, and ?4 = 1/16. Are the data from this experiment consistent with Mendel's laws? Use a 0.01 significance level. (Use 2 decimal places.) Phenotype 1 2 3 4 Frequency 926 287 294 103 ?2 = P-value interval A p < 0.0010 B .001 ≤ p < 0.01 C 0.01 ≤ p < 0.05 D 0.05 ≤ p < 0.10 E p ≥ 0.10
- 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…In August and September 2005 , Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 350 residents of Orleans Parish who had participated in the cleaning of one or more homes, 50 had experienced symptoms of wheezing, and in a sample of 176 residents who had not participated in the cleaning, 42 reported wheezing symptoms (numbers read from a graph). Can you conclude that there is a difference between the proportion of residents with wheezing symptoms who cleaned flood-damaged homes and those who did not participate in the cleaning? Let p1 denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes and p2 denote the proportion of…In the journal Mental Retardation, an article reported the results of a peer tutoring program to help mildly mentally retarded children learn to read. In the experiment, the mildly retarded children were randomly divided into two groups: the experimental group received peer tutoring along with regular instruction, and the control group received regular instruction with no peer tutoring. There were n1 = n2 = 30 children in each group. The Gates-MacGintie Reading Test was given to both groups before instruction began. For the experimental group, the mean score on the vocabulary portion of the test was x1 = 344.5, with sample standard deviation s1 = 49.1. For the control group, the mean score on the same test was x2 = 353.8, with sample standard deviation s2 = 50.5. Use a 5% level of significance to test the hypothesis that there was no difference in the vocabulary scores of the two groups before the instruction began. (a) What is the level of significance? (b) What is the value of the…