We are interested in looking at the effect of a baseball player’s free-agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not. 1. Verify the expected counts using the equation: expected = row total x column total / (divided by) table total 2. At a significance level of .05, what can you conclude in the context of this problem? 3. Verify the χ2 test statistic using: X2 = ∑ (observed - expected) 2 /(divided by) expected.
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We are interested in looking at the effect of a baseball player’s free-agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not.
1. Verify the expected counts using the equation: expected = row total x column total / (divided by) table total
2. At a significance level of .05, what can you conclude in the context of this problem?
3. Verify the χ2 test statistic using: X2 = ∑ (observed - expected) 2 /(divided by) expected.
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- Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?Workers in the office like to drink coffee during work. A doctor is concerned about this situation since the too much coffee consumption may result to long-term health problems. However, studies suggests that there is no risk in drinking three cups of coffee per day, which is about 250 mg of caffeine. The doctor wants to know if the amount of caffeine consumed by the workers is within tolerable limits. He randomly selected 20 students and found that they consume an average of 270 mg of caffeine each day with a standard deviation of 48 mg. Assume that the daily amount of caffeine consumed by students follow the normal distribution.1. Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 250 vs. Ha: μ > 250 B. Ho: μ ≤ 250 vs. Ha: μ > 250 C. Ho: μ = 270 vs. Ha: μ > 270 D. Ho: μ = 270 vs. Ha: μ ≠ 270 2. Which of the following is(are) TRUE? I. The appropriate test procedure to answer the objective of the study is a…Jobs arrive at a processing centre in accordance with a Poisson process at a mean rate of two/day, and the operation time has an average exponential distribution of 0.25 days. This centre has enough space for the material to be processed to take on three jobs besides that it is already processing. Additional works are kept temporarily in a less convenient place. What proportion of time is suitable for the space that the processing centre has to keep all the jobs that arrive? (That is, what proportion of a day you do not need extra space?)
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- Data on the 30 largest bond funds provided one-year and five-year percentage returns for theperiod ending March 31, 2000 (The Wall Street Journal, April 10, 2000). Suppose we consider aone-year return in excess of 2% to be high and a five-year return in excess of 44% to be high.One-half of the funds had a one-year return in excess of 2%, 12 of the funds had a five-yearreturn in excess of 44%, and six of the funds had both a one-year return in excess of 2% and afive-year return in excess of 44%.a. Find the probability of a fund having a high one-year return, the probability of a fundhaving a high five-year return, and the probability of a fund having both a high one-yearreturn and a high five-year return.b. What is the probability that a fund had a high one-year return or a high five-year returnor both?c. What is the probability that a fund had neither a high one-year return nor a high fiveyear return?adapted from Safe and Healthy Travel to a Mass GatheringCenters for Disease Control and Prevention International events draw huge crowds and come with unique risks to travelers. Whether they are planned years in advance, such as the Olympics, or happen more spontaneously, such as a president's memorial service, mass gatherings present several problems. They are associated with crowding at venues, poor hygiene from temporary food and sanitation facilities, and challenging security situations. The risk of infectious diseases increases because of crowded conditions and the influx of attendees from around the world. A mass gathering can be thought of as any gathering of people that is large enough to strain local resources. Typically, they involve a large number of people—sometimes numbering in the millions—at a specific location, for a specific purpose, and for a defined time frame. 16 Select the correct location on the image. Which flash card correctly explains…Region Product Type Item Projected Sales 2022 (in millions) Projected Sales 2027 (in millions) Projected Sales 2032 (in millions) Americas New B 21 14.7 10.3 Americas New B 18.7 15.7 12 Americas New B 19 15.4 11.3 Americas New B 15.1 17.4 11.1 Americas New B 16.7 14.4 10.8 Americas New B 20 15.8 11.5 Americas New B 20.4 14.4 9.6 Americas New B 21 14.8 11.8 Americas New B 19.7 17 13.2 Americas New B 19.3 12.9 10.8 Americas New B 18.4 15.4 10.6 Americas New B 15.1 13 10.5 Americas New B 18.5 13.5 9.2 Americas New B 16.2 10.5 7.9 Americas New B 19.7 12.8 8.7 Americas New B 14.6 10.8 8.1 Americas New B 20.4 13.3 7.7 Americas New B 15.1 12.7 9.4 Americas New B 19.8 15 9.8 Americas New B 14.8 11 8.5 Americas New B 16.6 10 8.6 Americas New B 12 12.3 8.3 Americas New B 19.8 13.3 7.5 Americas New B 17.8 15.2 9.9 Americas New B 20.1 11 8.1 Americas New B 15.9 10.8 8 Americas New B 11.7 12.9 7.8 Americas New B 20.4 13 7.7 Americas New B…