The figure below gives the growth rate, in feet per year, of two species of trees overthe course of 10 years. Use the figure to choose the correct statement.8Species ASpecies B3.11 2 36 7 8 9 10YearsOver the first 4 years, species A has grown more than species B.Thousands of Trees/Year YearsOver the first 4 years, species A has grown more than species B.Over the first 4 years, species B has grown more than species A.Over the first 4 years, both species grew the same amount.The given data is inconclusive. We cannot determine whether species A or Bgrew more.

From the graphs, it can be seen that in first four years, with time, value of both species A and…

Answered: Over the first 4 years, species A has…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
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The bacterium Staphylococcus aureus is commonly found on the skin and rarely causes major problems. If it gets under the skin or into the lungs it can cause boils or pneumonia. If the strain of bacterium causing these problems is resistant to methicillin, the infections can be life threatening. Methicillin resistant Staphy- lococcus aureus or MRSA is, therefore, a major concern in hospitals and clinics. Given the death rate from MRSA lung infections is 20%, if 20 patients are admitted in the hospital find the following probabilities: (a) Less than 3 die (b) At least 3 die. (c) Between 6 and 3 die.
Early life corresponds to the first bacterial colonization of the digestive tract, creating a microbiome thought to play an important role in human development. What might be the effect of early exposure to antibiotics on children's development? One study followed 11,532 full-term babies all born in the county of Avon, United Kingdom, during 1991 and 1992. Exposures to antibiotics during infancy were recorded, along with measures of body mass at regular intervals over several years. The researchers found that antibiotic exposure during the first six months of life was associated with increased body mass later in childhood.
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Peter Boag, studied the inheritance of beak depth in Galapagos finches by looking at the relationship between parent beak depth (in mm) and that of their offspring. He collected two sets of parent offspring data, once in 1976 and again in 1978. For both years he followed birds to determine which pairs belonged to which nests. Most of the parents had been previously captured so their beak depths were known. He then captured the offspring when they fledged and measured their beak depth. He calculated the "midparent" beak depth (the average beak depth of the two parents) and then compared that to beak depth of their offspring. Use regression analysis to estimate heritability for the trait beak depth from the Galapagos finches data in the above table.
Scientists are interested in the placebo effect on adults with arthritis. They randomly choose 15 adults with arthritis and give them 2 treatments: effective drug and placebo for 1 week at different times. At the end of each week, the scientists ask the participants to rate their arthritic pain level on a scale of 1-5, where 1 is little pain and 5 is a lot of pain. The researchers then take the difference of their pain levels (affective drug - placebo). The data are below. 0, 1, 2, 2, 0, -1, 3, 1, 2, -1, 0, 1, -2, -1, -6 (a) Find the 5-number summary for the difference of arthritic pain levels. Minimum = Q₁ = Median = USE SALT Q3 = Maximum = (b) One of the conditions for inference for population mean difference of paired data is normality. Outliers within a data set cast a shadow of doubt upon the normality of the population distribution. Use the 5-number summary calculated in part (a) to determine if there are any outliers in the data set. Which of the values, if any, is an outlier…
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.
Scientists at a pharmaceutical company want to compare their new drug to an existing one. Let's call the new drug A and the old drug B. In a random sample of 120 subjects who took drug A, 40% developed sever side effects. Whereas, in a random sample of 100 subjects who took drug B, 45% developed severe side effects. These scientists are interested to see if there is significant evidence that their new drug reduces severe side effects in patients the a = 0.05 significance level. What is the test statistic for this test? (P1-P2)-0 0.4-0.45 -0.748146 0.45(100)+0.4(120) 0.45(100)+0.4(120) 120+100 (뿌+뿌) 120+100 100 (P1-ê2)–0 0.4–0.45 = -0.747435 P141 , P242 +. 0.4(0.6) 0.45(0.56) 120 100 0.4–0.45 -0.748146 0.45(100)+0.4(120) 0.45(100)+0.4(120) 120+100 120+100 (부·뿌)(글 (P1-P2)-0 0.4-0.45 2 = -0.747435 P191 P292 0.4(0.6) 0.45(0.55) +. 120 100
A researcher is studying two types of medication that both treat hives. 23 out of the random sample of 270 adults given medication A still had hives 30 minutes after taking the medication. 15 out of another random sample of 300 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance. The correct hypotheses are: Ho:PA PB (claim) Ho :PA PB H A:PA < PB (claim) Но :РА На :РА # рв (claim) = PB Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: 1.684 x (round to 3 places) The p-value is: 0.092 x (round to 3 places) The decision can be made to:
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An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give x¯=3.07 and s=5.11. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0 : Ha : (b) Find the test statistic, t = 7,6

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Over the first 4 years, species A has grown more than species B. Over the first 4 years, species B has grown more than species A. Over the first 4 years, both species grew the same amount. The given data is inconclusive. We cannot determine whether species A or B grew more.