Americium 241 (241 Am) is a radioactive material used in the manufacture of241smoke detectors. An article described a study in which 55 beagles were injectedwith a dose of Am (proportional to each animal's weight). Skeletal retention of241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in thefollowing data:0.1960.30.2870.3150.3350.3330.3060.3530.3010.4410.3370.4510.3460.2430.4470.3320.4080.3670.3570.3040.2360.419Answer:0.4980.4480.3340.5850.2920.3990.3450.320.4890.3540.4280.4110.1880.2990.2910.3750.3030.1860.3490.3180.3450.3610.3240.3990.2920.190.3050.4190.3930.3240.4680.4120.329By constructing an equal width GFDT (for the given dataset) with six classes andclass width (using the given formula in Lecture note II) to be rounded to the nearesthundredth, what proportion of these observations are not less than 0.395 but lessthan or equal 0.535? (Type your answer in decimal form and round it to thenearest hundredth, like 0.23)

Given that: Number of data points (n) = 55Number of classes (m) = 6Let Xi denote the data points.

Answered: Americium 241 (241 Am) is a radioactive…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Americium 241 (241 Am) is a radioactive material used in the manufacture of 241 smoke detectors. An article described a study in which 55 beagles were injected with a dose of Am (proportional to each animal's weight). Skeletal retention of 241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in the following data: 0.196 0.3 0.287 0.315 0.335 0.333 0.306 0.353 0.301 0.441 0.337 0.451 0.346 0.243 0.447 0.332 0.408 0.367 0.357 0.304 0.236 0.419 Answer: 0.498 0.448 0.334 0.585 0.292 0.399 0.345 0.32 0.489 0.354 0.428 0.411 0.188 0.299 0.291 0.375 0.303 0.186 0.349 0.318 0.345 0.361 0.324 0.399 0.292 0.19 0.305 0.419 0.393 0.324 0.468 0.412 0.329 By constructing an equal width GFDT (for the given dataset) with six classes and class width (using the given formula in Lecture note II) to be rounded to the nearest hundredth, what proportion of these observations are not less than 0.326? (Type your answer in decimal form, like 0.23)
Americium 241 (241Am) is a radioactive material used in the manufacture of smoke detectors. The article "Retention and Dosimetry of Injected 241Am in Beagles"t described a study in which 55 beagles were injected with a dose of 241Am (proportional to each animal's weight). Skeletal retention of 241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in the following data. 0.196 0.451 0.498 0.411 0.324 0.190 0.489 0.300 0.346 0.448 0.188 0.399 0.305 0.304 0.287 0.243 0.334 0.299 0.292 0.419 0.236 0.315 0.447 0.585 0.291 0.186 0.393 0.419 0.335 0.332 0.292 0.375 0.349 0.324 0.301 0.33 0.408 0.399 0.303 0.318 0.468 0.441 0.306 0.367 0.345 0.428 0.345 0.412 0.337 0.353 0.357 0.320 0.354 0.361 0.329 A USE SALT (a) Construct a frequency distribution for these data. Commute Time Frequency 0.15 to <0.20 10 0.20 to <0.25 11 0.25 to <0.30 48 0.30 to <0.35 0.35 to <0.40 0.40 to <0.45 0.45 to <0.50 0.50 to <0.55 0.55 to <0.60
1.56 Longleaf pine trees. The Wade Tract in Thomas County, Georgia, is an old-growth forest of longleaf pine trees (Pinus palustris) that has survived in a relatively undisturbed state since before the settlement of the area by Europeans. A study collected data on 584 of these trees. One of the variables measured was the diameter at breast height (DBH). This is the diameter of the tree at 4.5 feet, and the units are centimeters (cm). Only trees with DBH greater than 1.5 cm were sampled. Here are the diameters of a random sample of 40 of these trees: PINES 27 10.5 13.3 26.0 18.3 52.2 9.2 26.1 17.6 40.5 31.8 47.2 11.4 2.7 69.3 44.4 16.9 35.7 5.4 44.2 2.2 4.3 7.8 38.1 2.2 11.4 51.5 4.9 39.7 32.6 51.8 43.6 2.3 44.6 31.5 40.3 22.3 43.3 37.5 29.1 27.9 (a) Find the five-number summary for these data. (b) Make a boxplot. (c) Make a histogram. (d) Write a short summary of the major features of this distribution. Do you prefer the boxplot or the histogram for these data?
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150
A researcher wonders whether younger mothers have babies that are significantly heavier or lighter than the population average of μ 7.25 pounds. The researcher collects data from N = 35 babies who were born to mothers between the ages of 16 and 18. The average weight for these babies was M = 7.15 pounds (SD = .6 pounds).
Analysis of several plant-food preparations for potassium ion yielded the following data:
How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures, in degrees Celsius, and mean coral growth, in centimeters per year, over a several‑year period at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 (b) Find the correlation ?r step by step. Round off to two decimals places in each step. First, find the mean and standard deviation of each variable. Then, find the six standardized values for each variable. Finally, use the formula for ?r . Round your answer to three decimal places.
Poisoning by the pesticide DDT causes tremors and convulsions. In a study of DDT poisoning, researchers fed several rats a measured amount of DDT. They then made measurements on the rats’ nervous systems that might explain how DDT poisoning causes tremors. One important variable was the “absolutely refractory period,” the time required for a nerve to recover after a stimulus. This period varies normally. Measurements on four rats gave the following measurements (in milliseconds): 6, 1.7, 1.8, 1.9. Estimate the mean absolutely refractory period for all rats of this strain when subjected to the same treatment.
In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person, that would be inhaled while traveling on the bus during its usual 1818‑mile trip on congested freeways from South Central LA to a magnet school in West LA. (As a reference, the average intake of motor emissions of carbon monoxide in the LA area is estimated to be about 0.0000460.000046 grams per person.) The amounts for the nine buses when driven with the windows open are given. 1.151.15 0.330.33 0.400.40 0.330.33 1.351.35 0.380.38 0.250.25 0.400.40 0.350.35 A good way to judge the effect of outliers is to do your analysis twice, once with the outliers and a second time without them. Give two 90%90% confidence intervals, one with all the data and one with the outliers removed, for the mean pollution intake among all school buses…
In a sample of 177 adults how long it takes to fall asleep is expected to be related to how much cake is eaten for dessert at .38. Does the number of slices of cake eaten predict how long it takes people to fall asleep (at a = .01)? If so, how much sleep %3D would a person get if they ate 5 cake slices? Mcake = 2.1 Msleep = 1.15 SD = 1.53 SD = 4.7
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…
The "spring-like effect" in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow: Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871 Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476 Test the hypothesis that both brands of ball have equal mean overall distance. Use α = 0.05 and assume equal variances. Question: Reject H0 if t0 < ___ or if t0 > ___.

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