4. Consider a colony of raccoons. Assume that the raccoons live at most 5 years. Divide thefemale population by age (one group for each year). Breeding rate is the average number ofraccoons per year per raccoon in that age group and the survival rate is the proportion ofraccoons in that age group that survive another year. Suppose that the initial population isNo = 100 and the raccoon colony has the following data:Age GroupInitial PopulationBreeding Rate0-1 1-2402-33-4 4-53015101Survival Rate0.60.40.20.1(a) Predict the population distributions for the next 4 years.(b) Determine the long term population growth trend, and find the long term distribution(in percentages) of the age groups.

The female population of a colony of raccoons has an initial population of 100 females. The table…

Answered: 4. Consider a colony of raccoons.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 17 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours:8.1, 7, 7.4, 7.4, 6.6, 7.3, 7.5, 7, 7.7, 6.9, 7.9, 6.7, 6.7, 6.9, 7.5, 7.1, 7.3Assuming the population standard deviation is σ=0.4, construct a 89% confidence interval for the average time it takes this species of bacteria to divide.xˉ=α2=zα2=Margin of Error: E=We are 89% confident that this species of bacteria takes, on average, between ___hours and ___hours to divide.
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Full data set Car 1 211 215 234 212 247 264 260 164 256 251 171 319 292 313 252 Car 2 236 216 207 230 250 246 223 264 254 299 261 253 254 255 263
The following table lists animals that have some of the longest lifespans on earth. Does incubation or gestation time affect an animal’s average lifespan? Some animals have lifespans that average well over 100 years.Animal: Nile, Crocodile, Aldabra Giant Tortoise LakeSturgeon, Galapagos Tortoise, Bowhead Whale Average Lifespan (in Years): 100,152,152,177,211Incubation/Gestation (in Months): 3, 8, 0.25, 4.7,13.5 Is there a correlation between an animal’s gestation/incubation period and its average lifespan in years? a. Draw the scatterplot for the variables. b. Describe the relationship, if any, shown by the scatterplot. c. Calculate r, the correlation coefficient. How does the correlation coefficient compare to the relationship you saw in the scatterplot?
Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters. for a sample of 8 adults. The following table presents the results. Systolic Diastolic 126 88 104 86 103 80 110 80 122 71 117 88 130 75 118 69 Send data to Excel The least-squares regression line y=b,+b,x= 101.5438 – 0.1885x and E (x- x) = 685.5000 are known for this data. Use the critical value method to test H:B,=0 versus H : B,<0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the a=0.01 level of significance. Microsc Dart: 0 / A w MacBook Air
A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 16 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours: 8, 6.6, 9, 7.4, 6.1, 8.9, 10, 8.1, 8.4, 8.3, 8.3, 8.4, 4.9, 7.8, 7.4, 6.3 Assuming the population standard deviation is o = average time it takes this species of bacteria to divide. 1.1, construct a 97% confidence interval for the Margin of Error: E We are 97% confident that this species of bacteria takes, on average, between hours and hours to divide.
Complete part C. C. Compute an estimate of the population parameter. Telephone survey of 2980 adults in certain country, 27% reported they own least one gun. Researchers want to estimate the true percentage of adults in that country that own at least one gun.
4. Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. R INPUT: accepted |t]) (Intercept) accepted 88.88272 182.36584 0.487 0.6515 0.20801 0.07002 2.971 0.0411 * Signif. codes: ***' 0.001 **' 0.01 '*' 0.05 '.' 0.1 ' 1 Residual standard error: 26.35 on 4 degrees of freedom 0.6881, Adjusted R-squared: 0.6101 Multiple R-squared: F-statistic: 8.824 on 1 and 4 DF, p-value: 0.04112 (a) Write an equation for the regression line. (b) What is the slope of the least-squares regression line? Interpret this in the context of the application. (c) Interpret the intercept of the line in context. Does the interpretation make sense?
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Full data set Car 1 216 243 205 242 239 297 295 172 270 251 165 310 265 316 278 Car 2 231 220 223 205 245 257 242 292 248 252 287 255 250 293 251 ..... Describe each data set, that is determine the shape, center, and spread. Sample mean for Car 1 x=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample mean for Car 2 x=___________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 1 M=____________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 2 M=___________mi / 10 gal (Type…
Johnson Filtration, Inc., provides maintenance service for water-filtration systems throughout southern Florida. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Time bo + b₁ Months + b₂ Type + b3 Person Round your answers to three decimal places. bo b₁ b₂ b3 Repair Time in Hours 2.8 3.0 4.7 1.9 2.9 4.8 4.2 4.9 4.3 4.4 0000 Months Since Last Service 2 6 8 3 a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. Assume that ₂ = 1 if the type of repair is electrical and 3 = 1 if Dave Newton performed the service. Enter negative value as negative number. 2 7 9 8 4 6 Type of Repair Electrical Mechanical Electrical Mechanical…
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x1, the number of days in the month x2, the average product purity x3, and the tons of product produced x4. The past year's historical data are available and are presented in the following table. 240 25 24 91 100 236 31 21 90 95 290 45 24 88 110 274 60 25 87 88 25 26 25 301 65 91 94 316 72 94 99 300 80 87 97 84 75 296 25 86 96 267 24 88 110 276 60 25 91 105 288 50 38 25 23 90 100 261 89 98 If y= ao+a1X1 +a2x2+Q3X3+Q4X4 represents the regression model. What is the value of a2? Use 2 decimal places.
Every day a school bus driver passes the same traffic light twice, once before school and once after. Each time he passes the light, he records if it is red, green, or yellow. Here is a summary of the data he got after 200 days. Traffic light before school red red red green green green yellow yellow yellow Traffic light after school red green yellow red green yellow red green yellow Number of days 25 38 12 34 36 11 16 13 15 Suppose the driver will continue recording the colors for 150 more days. In how many of these 150 days will the light be yellow exactly once? Use the data to make a prediction.
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Full data set Car 1 216 243 205 242 239 297 295 172 270 251 165 310 265 316 278 Car 2 231 220 223 205 245 257 242 292 248 252 287 255 250 293 251 Median for Car 2 M=___________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 1 R=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 2 R=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample standard deviation for Car 1 s=_________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample standard deviation…

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