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(O4) Helping tags: Statistics, Analysis of Relationships Among Variables, Logistic
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WILL UPVOTE, just pls help me answer the following questions in the attached image. Pls show complete solutions and explain them. Thank you!
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?An experiment is conducted to determine the relationship between the amount of a certain drug in the bloodstream and the length of time it takes to react to a stimulus. A random sample of 5 persons who took this drug is selected. The amount of drug in the bloodstream x and the reaction time y in selected persons showed that Amount of drugs x: 2 1 4 3 5 Reaction time y: 1 1 2 2 4 Σx=15 , Σx² = 55, Σy=10, Σy² = 26, Σxy = 37 (a) Compute SSxx, SSyy, and SSxy (b) Compute the correlation coefficient r and explain it in the context of the problem. (c) Find the equation of the regression line between y and x.
- If X1, X2, ... , Xn constitute a random sample of size n from an exponential population, show that X is a consis-tent estimator of the parameter θ.The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.An industrial concern has experimented with several different mixtures of the fourcomponents—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise arocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions.40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists ofa blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture)are prepared and tested to obtain the flare-illumination values. These data appear here (in unitsof 1,000 candles).Mixture 1 185 192 201 215 170 190 175 172 198 202Mixture 2 221 210 215 202 204 196 225 230 214 217a. Plot the sample data. Which test(s) could be used to compare the meanillumination values for the two mixtures?b. Give the level of significance of the test and interpret your findings
- To this point, the work of days missed per month by workers at a large corporation has average 2.25. A new flexible workday arrangement has been introduced and it is hoped that by introducing this "flex time" that the average workdays miss per month will be reduced. Let alpha=.05 A) Define the appropriate parameter for this problem and then set up the appropriate Null and alternative hypothesis a. The average number of work days missed by all the workers at a large corporation. Ho: x bar= 2.25; Ha: x bar < 2.25 b. the Average number of work days missed by all workers at a large corporation Ho: mu =2.25; Ha: mu < 2.25 c. Number of workdays mess by the workers d. The average number of workdays mess by the 20 workers at a large corporation Ho: mu =2.25 ; Ha: mu> 2.25 B) Flex time is tried out with a sample of 20 workers. The average number of days missed in the next month is 1.83 with a standard deviation of 0.71. Make any necessary assumptions and use the data to (a) calculate…a. Use the 2nd-order Runge-Kutta Method to approximate y(t) with h= 0.25 b. Use the 4th-order Runge-Kutta Method to approximate y(t) with h=0.25 c. Plot both sets {yi} obtained in (1) and (2) d. Determine the eventual population level (as t→∞) reached from initial population.