A biologist doing an experiment has a bacteria populationcultured in a petri dish. After measuring, she finds that there are98.5 million bacteria infected with the zeta-virus and 26.4 millioninfection-free bacteria. Her theory predicts that 20% ofinfected bacteria will remain infected over the next hour, while theremaining of the infected manage to fight off the virus in that hour.Similarly, she predicts that 20% of the healthy bacteria willremain healthy over the hour while the remaining of the healthy willsuccumb to the affliction. Modeling this as a Markov chain,use her theory to predict the population of non-infectedbacteria after 1 hour(s). [Round to 3 significant figures.]O a) 25 millionOb) 84.1 millionO c) 40.8 milliond) 99.9 million

Infected Non- Infected 20% 80% Infected 80% 20% Non- Infected To find - The population…

Answered: A biologist doing an experiment has a…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and an SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead. Explicitly state and check all conditions necessary for inference on these data. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration…
Researchers suspect that drinking tea might enhance the production of interferon gamma, a molecule that helps the immune system fight bacteria, viruses, and tumors. A recent study involved 20 healthy people who did not normally drink tea or coffee. Ten of the participants were randomly assigned to drink five cups of tea a day, while 10 were asked to drink the same amount of coffee. After two weeks, blood samples were exposed to an antigen and production of interferon gamma were measured. The results are shown in the following table: Теа: 55 17 54 49 10 46 21 14 53 Coffee: 16 12 20 52 37 15 22 30 3 Let X ~ N(ux,o3) be the interferon gamma production for participants who drink tea and observations for the ten participants who drink tea are a random sample from X. Let Y ~ N(uy,o) be the interferon gamma production for participants who drink coffee and observations for the ten participants who drink coffee are a random sample from Y. Some R output that may help. > p1 qnorm(p1) [1] -2.326…
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 µg/l? Based on your preceding result, without performing a calculation, would a 99% confidence interval for this difference contain 0? Explain why or why not.
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 µg/l? Based on your preceding result, without performing a calculation, would a 99% confidence interval for this difference contain 0? Explain why or why not.
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A person with tuberculosis is given a chest x-ray. Four tuberculosis x-ray specialists examine each x-ray independently. If each specialist can detect tuberculosis 83% of the time when it is present, what is the probabilty that at least 1 of the specialists will detect a person positive.
Can attack of a plant by one organism induce resistance to subsequent attack by a different organism? In a study of this question, individually potted cotton plants were randomly allocated to two groups. Each plant in one group received an infestation of spider mites; the other group were kept as controls. After 2 weeks the mites were removed, and all plants were inoculated with a fungus that causes wilt disease. According to the research question, H0: Miles do not induce resistance to wilt. Ha: Mites do induce resistance to wilt. What is the alternative hypothesis in symbols when p represents the proportion of wilt disease in a group? p1 < p2 or p1 > p2?
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A Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a sweet taste. Consequently, miraculin has the potential to be an alternative low-calorie sweetener. In Plant Science (May 2010), a group of Japanese environmental scientists investigated the ability of a hybrid tomato plant to produce miraculin. For a particular generation of the tomato plant, the amount x of miraculin produced (measured in micrograms per gram of fresh weight) had a mean of 105.3 and a standard deviation of 8.0. Assume that x is normally distributed. (a) Find P(x >120).
A five year study was conducted among 5,000 men older than 65 years to examine the relationship between heavy alcohol consumption and the onset of atrial fibrillation. The men were assessed each year. Men who drank heavily contributed a total of 12,500 person-years of observation and 250 of those who drank heavily developed atrial fibrillation. A total of 24,000 person-years were observed for the entire study. And 100 men who did not drink heavily developed atrial fibrillation. What was the incidence density among heavy drinking men? What was the incidence density among non-heavy drinking men? What was the rate ratio and interpret ?
A five year study was conducted among 5,000 men older than 65 years to examine the relationship between heavy alcohol consumption and the onset of atrial fibrillation. The men were assessed each year. Men who drank heavily contributed a total of 12,500 person-years of observation and 250 of those who drank heavily developed atrial fibrillation. A total of 24,000 person-years were observed for the entire study. And 100 men who did not drink heavily developed atrial fibrillation. What was the cumulative incidence of atrial fibrillation in the study assuming no men had atrial fibrillation at the beginning of the study? What was the point prevalence of atrial fibrillation at the beginning of the study?
In 2018 (prior to SARS-CoV-2), 48% of our then enrolled postgraduate university students worked while studying (either part-time or full-time). We conducted a random survey of our current postgraduate students to see if the working proportion had changed. We surveyed 80 of our postgraduate students and found that 46 were currently working in some capacity.

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