2.20 Assortative mating: Assortative mating is a nonrandom mating pattern where individualswith similar genotypes and/or phenotypes mate with one another more frequently than what wouldbe expected under a random mating pattern. Researchers studying this topic collected data on eyecolors of 214 Scandinavian men and their female partners. The table below summarizes the results(rows represent male eye color while columns represent female eye color). For simplicity, we onlyinclude heterosexual relationships in this exercise.(please round any numerical answers to 4 decimal places)BlueBrownGreenTotalBlue622228112Brown12191849Green14112853Total885274214a) What is the probability that a randomly chosen male respondent or his partner has blue eyes?b) What is the probability that a randomly chosen male respondent with blue eyes has a partnerwith blue eyes?c) What is the probability that a randomly chosen male respondent with brown eyes has a partnerwith blue eyes?d) What is the probability of a randomly chosen male respondent with green eyes having a partnerwith blue eyes?

HERE GIVEN CONTIGENCY TABLE OF COLOR OF EYES OF MALE AND HIS PARTER AS PER POLICY I HAVE CALCULATED…

Answered: a) What is the probability that a…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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7.15 A soft-drink firm is evaluating an investment in a new type of canning machine. The company has already determined that it will be able to fill more cans per day for the same cost if the new machines are installed. However, it must determine the variability of fills using the new machines and wants the variability from the new machines to be equal to or smaller than that currently obtained using the old machines. A study is designed in which random samples of 40 cans are selected from the output of both types of machines and the amount of fill (in ounces) is determined. The data are given below. Old Machine 16.74 15.75 16.19 16.54 15.92 16.29 16.44 16.29 16.38 16.47 16.56 16.42 16.08 16.47 16.02 16.74 15.97 16.47 16.06 16.64 16.40 16.40 16.28 16.66 16.80 16.36 16.36 16.27 16.43 16.26 16.31 16.59 16.24 16.63 16.15 16.17 16.32 16.81 16.27 17.09 New Machine 15.64 15.81 16.20 16.36 16.36 16.05 16.07 16.04 16.08 16.31 16.50 16.14 16.12 16.30 16.41 16.11 16.20 16.29…
Suppose that in a study of 35 million HPV shots examined, the shots were followed in time by 14,000 serious ailments and 32 confirmed deaths. However, suppose in examining a randomly selected control group of 35 million non-vaccinated people of the same age at a particular time A, 0.0413% developed a serious ailment soon after time A, and 0.000089% died soon after time A. What does the comparison of two groups tell us? What are the percentages in the vaccinated group (serious ailments and confirmed deaths), and how to they compare to the nonvaccinated group? Hint: compute the percentages for serious ailments (14,000/35,000,000) and confirmed deaths (32/35,000,000) for the vaccinated group. Compare with the control group. Notice % above. (0,0413% and 0.000089%) Answer here. What can we conclude with high probability, if this comparison between vaccinated and non-vaccinated groups was done many times with the same basic results? Answer here. Can we absolutely rule out that the…
Do well-rounded people get fewer colds? A study on the Chronicle of Higher Education was conducted by scientist at Carnegie Mellon University, the University of Pittsburgh and the University of Virginia. They found that people who have only a few social outlets get more colds than those who are involved in a variety of social activities. Suppose that of the 276 healthy men and women tested, n1=96 had only a few social outlets and n2=105 were busy with six or more activities. When these people were exposed to a cold virus, the following results were observed: Construct a 99% confidence interval for the difference in the two population proportions.
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…
3. The paper "Effects of Caffeine on Repeated Sprint Ability, Reactive Agility Time, Sleep and Next Day Performance"† describes an experiment in which male athlete volunteers who were considered low caffeine consumers were assigned at random to one of two experimental groups. Those assigned to the caffeine group drank a beverage which contained caffeine 1 hour before an exercise session. Those in the no-caffeine group drank a beverage that did not contain caffeine 1 hour before an exercise session. That night, participants wore a device that measures sleep activity. The researchers reported that there was no significant difference in mean sleep duration for the two experimental groups. In the context of this experiment, explain what it means to say that there is no significant difference in the group means. A) The difference in mean sleep duration for the caffeine and no-caffeine groups could have occurred by chance just due to the random assignment, assuming there is a real difference…
A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging machine will lower the proportion of bags that are damaged. The company selected a random sample of 150 bags from the old machine and found that 15 percent of the bags were damaged, then selected a random sample of 200 bags from the new machine and found that 8 percent were damaged. Let pˆOp^O represent the sample proportion of bags packaged on the old machine that are damaged, pˆNp^N represent the sample proportion of bags packaged on the new machine that are damaged, pˆCp^C represent the combined proportion of damaged bags from both machines, and nOnO and nNnN represent the respective sample sizes for the old machine and new machine. Have the conditions for statistical inference for testing a difference in population proportions been met? No, the condition for independence has not been met, because random samples were not selected. A No, the…
Consider the following actual data from a study by Lyon and Greenberg (1991). The first factor in their factorial ANOVA was family background; female participants were classified into two groups (Group 1: codependent, women with an alcoholic parent; Group 2: non-codependent, women with nonalcoholic parents). Members of these two groups were randomly assigned to one of two conditions; they were asked to donate time to help a man who was described to them as either Mr. Wrong (exploitative, selfish, and dishonest) or Mr. Right (nurturant, helpful). The researchers predicted that women from a non-codependent/nonalcoholic family background would be more helpful to a person described as nurturant and helpful, whereas women from a codependent/alcoholic family background would be more helpful to a person described as needy, exploitative, and selfish. The table of means below represents the amount of time donated in minutes in each of the four cells of this 2 × 2 factorial design. In each cell,…
The following data are taken from an experiment in which the subjects were tested for motion sickness. Thesubjects were randomly assigned to either the control group which was given a placebo or the experimentalgroup which was given the drug Astemizole and observed on an ocean voyage. The same subjects were thenswitched and those that had the placebo were now given the drug, and those that had the drug were nowgiven a placebo and observed on a new ocean voyage taking the same course. The results are the number ofhead movements that the subjects could endure without becoming nauseous. Use α = 0.05 to test the claimthat Astemizole is effective, i.e. it takes a larger number of head movements before the subject getsnauseous.Control 19 45 36 42 38 31 30 40 41 35Drug 20 55 36 45 40 32 41 38 44 29 1) State the hypotheses and identify the claim. Group 1 is the Control group. 2)Find the test statistic and Find the p-value. 3)Make the decision and Summarize the results.
A researcher administers a new treatment to a sample of participants selected from a population with µ = 80. If the researcher obtains a sample mean of M = 88, which combination of factors is most likely to result in rejecting the null hypothesis?
A researcher wants to know whether the acidity of rain (pH) near Houston, Texas, is significantly different from that near Chicago, Illinois. He randomly selected 12 rain dates in Texas and 14 rain dates in Illinois and obtains the following data: Texas Illinois 4.69 5.10 4.40 4.69 5.22 4.46 4.22 4.64 4.93 4.65 4.54 4.35 5.22 4.76 4.69 4.40 4.25 5.14 4.75 4.63 4.11 4.71 4.45 4.49 4.36 4.52 Does the evidence suggest that there is a difference in the pH of rain in Chicago and Houston? Use a 5% level of significance.
A researcher wishes to see if the activities people usually do on a weekend which is listed below to combat stress are equally distibuted among office workers. A sample of 100 office workers is selected, and the folllowing data are obtained. At α=0.05, can it be concluded that there is no preference? What is the null hypothesis?
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…

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