A radiation detector is used to measure the danger to humans working in a particular room. For illustration, we will model X = the number of radioactive "clicks" registered in a standard time period as a Poisson with mean A. That is to say, P(X = k) = e-dAk for k = 0, 1, 2, ... k! Presume that A = 2 is "safe" but larger means (indicating higher radiation levels) are not. Suppose that one determines to declare that there is an unsafe radiation level if X > 3.

A radiation detector is used to measure the danger to humans working in a particular room. For illustration, we will model X = the number of radioactive "clicks" registered in a standard time period as a Poisson with mean A. That is to say, P(X = k) = e-dAk for k = 0, 1, 2, ... k! Presume that A = 2 is "safe" but larger means (indicating higher radiation levels) are not. Suppose that one determines to declare that there is an unsafe radiation level if X > 3.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...

See similar textbooks

Similar questions

What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Climate change 2013 Data collected from around the globe show that the earth is getting warmer. The most common theory relates climate change to an increase in atmospheric levels of carbon dioxide (CO2), a greenhouse gas. The mean annual CO2 concentration in the atmosphere (parts per million) is measured at the top of Mauna Loa in Hawaii (away from any local contaminants) and available at ftp://aftp.cmdl.noaa.gov/products/trends/co2/co2_annmean_mlo.txt The mean surface air temperature is recorded as the change in °C relative to a base period of 1951 to 1980. It is available at data.giss.nasa.gov/gistemp/graphs_v3/ Here are a scatterplot and regression for the years from 1970 to 2013: 14.6 + 14.4 + 14.2 + 14.0 340 360 380 CO2 Response variable is R-squared = 73.6% R-squared (adjusted) = 72.9% s = 0.1316 with 44 – 2 = 42 degrees of freedom Global Avg Temp Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 10.6442 0.3418 31.1 S0.0001 0.010325 0.0010 10.8 S0.0001 a) Write the…
Pyramid Lake is on the Palute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a tells you that the average length of trout caught in Pyramid Lake Is mu = 19 Inches. Howevera survey reported that of a random sample of 46 fish caught, the mean length was overline x =18.6 lnch , with estimated standard s = 2.7 inches. these data Indicate that the average length of a trout caught in Pyramid Lake less than mu = 19 inches? Use a=0.05 Please answer parts A,B, & C
Pyramid Lake is on the Palute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a tells you that the average length of trout caught in Pyramid Lake Is mu = 19 Inches. Howevera survey reported that of a random sample of 46 fish caught, the mean length was overline x =18.6 lnch , with estimated standard s = 2.7 inches. these data Indicate that the average length of a trout caught in Pyramid Lake less than mu = 19 inches? Use a=0.05 Please answer ONLY parts D & E
Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…
Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…
A population of N=15 has a mean =8 one score in the population is changed from X=20 to X-5.What is the value for thr new population mean?
The length of life of brand Y light bulbs he length of life of brand x light bulbs is assumed to be N(My> 784). is assumed to be N (aMys 627) and independeat of that of x •If a rs. of n, -56 brand X light bulbs Yielded a mean of =937.4 hours and a r.s. of size nq =57 brandY light bulbs yielded a mean of ỹ- 988.9 a 90% Confidence interval My-My • %3D hoursa Find for
5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?
Gestation For women, pregnancy lasts about 9 months.In other species of animals, the length of time fromconception to birth varies. Is there any evidence thatthe gestation period is related to the animal’s lifespan?The first scatterplot shows Gestation Period (indays) vs. Life Expectancy (in years) for 18 speciesof mammals. The highlighted point at the far rightrepresents humans. a) For these data, r = 0.54, not a very strong relation-ship. Do you think the association would be stronger or weaker if humans were removed?Explain.b) Is there reasonable justification for removing humansfrom the data set? Explain.c) Here are the scatterplot and regression analysis for the17 nonhuman species. Comment on the strength of theassociation.d) Interpret the slope of the line.e) Some species of monkeys have a life expectancy ofabout 20 years. Estimate the expected gestation periodof one of these monkeys.
4 Let f(x) = (1/10)(x-3)^2 for x = 1, 2, 3, 4, 5 %3D Find the standard deviation of X. For the instructor, this was question 11. / 1.8 X 3.1 X 3.4 X 3.5 X 9.4 X 12.4
Below is data of lobster sales volume from a seafood company. We're are using exponential smoothing (α = 0.5) and 3-year moving average to forecast it. a) Fill the blanks above and write your processes below. b) What are the mean absolute deviations (MADs) of the two methods? Whichmethod will you choose based on the results? *Please solve for a-b, either type your work and answers or write them neatly on paper* thank you!