Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse).Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site,or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped andsymmetric for these two regions.Region I: x,; n, = 158751,0802,3301,850 1,8608531,5511,2302,3401,0809101,1301,4501,2601,010Region II: x,; n, = 145408087901,2301,7709601,6508608906401,1801,1601,050 | 1,020In USE SALT(a) Use a calculator with mean and standard deviation keys to verify that x,, S,, x2, and s,. (Round your answers to four decimal places.)X1ppmS. =ppmX2ppm52ppm(b) Let u, be the population mean for x, and let u, be the population mean for x,. Find an 80% confidence interval for u, - H. (Round your answers to one decimal place.)lower limitppmupper limitppm

We want to find 80% CI for difference of population mean

Answered: organic phosphorous is a naturally…

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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Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoid arthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 5. What is the effect on the interval width if we decreased or increase the confidence level to 90% or 99% respectively? (Hint, create the intervals)
Thomas wants to compare the mean concentration of carbon monoxide (CO) on residential versus commercial streets, since these differ in terms of car traffic. In each of three neighborhoods of Montréal (named A, B, and C below), he randomly chooses four locations for each type of street, for a total of 24 observations (2 street types x 3 neighborhoods x 4 locations). At each location, he measures CO concentration in the air over a period of 10 hours (8:00 AM-6:00 PM), and obtains the following data (in ppm/h). Question: Test whether or not the difference between residential and commercial streets in mean atmospheric CO concentration is the same among the three neighborhoods, and whether or not CO concentration in the air is the same, on average, for the two types of streets. Note that Neighborhood is considered a random block factor in the ANOVA. Use significant level= 0.05.
An article reports the following values for soil heat flux of eight plots covered with coal dust. 33.8 34.0 33.8 37.8 34.4 27.0 18.1 24.3 ЛUSE SALT The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using α = 0.05. State the appropriate hypotheses. O Ho: μ = 29 Η μ < 29 H₂29 Ο Ηγ: μ = 29 Η μ = 29 O Ho: μ = 29 Ha: M = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = -.57 P-value .290 ×
Consider a population with the following. ? = 50 and ? = 5.7(a) Calculate the z-score for an x of 44.6 from a sample of size 39. (Give your answer correct to two decimal places.)
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct identify the 5-number summary.
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region I: x1; n1 = 15 853 1,549 1,230 875 1,080 2,330 1,850 1,860 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x2; n2 = 14 538 808 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 1,020 (a) Use a calculator with mean and standard deviation keys to verify that x1, s1, x2, and s2. (Round your answers to four decimal places.) x1= ppm s1= ppm x2= ppm s2=…
An article reports the following values for soil heat flux of eight plots covered with coal dust. 35.0 32.8 35.0 33.6 36.7 27.0 18.7 24.7 USE SALT The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using a = 0.05. State the appropriate hypotheses. OH₂M = 29 H₂:μ#29 OH₂ = 29 H₂:μ 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. O Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. O Do not reject the null hypothesis. There is…
With an ever-increasing world population, grain yields are extremely important. A random sample of 16 large grain-producing regions in the world gave the following information about grain production (in kg/hectare). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Region 1 2 3 4 5 6 7 8 Modern Production 1618 2233 5279 6998 2016 4569 789 6518 Historic Production 1597 2363 5167 7177 1921 4767 665 6321 Region 9 10 11 12 13 14 15 16 Modern Production 2853 3559 1717 2058 2753 2557 6751 3678 Historic Production 2929 2447 1346 2183 3116 2074 7335 2981 Does this information indicate that modern grain production is higher? Use a 5% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereaise nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region It x n, 15 857 1,551 1,230 875 1,080 2,330 1,850 1,860 2,340 1,080 910 1,130 1,450 1,260 1,010 Region III xi n 14 542 B06 1,230 1,770 790 960 1,650 860 890 640 1,180 1,160 1,050 1,020 A USE SALT (a) Use a caiculator with mean and standard deviation keys to verify that a and s (Round your answers to four decimal places.) ppm ppm ppm ppm (b) Let , be the population mean for x, and let be the…
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region I: x,; n, = 15 853 1,551 1,230 1,080 2,330 1,850 1,860 875 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x,; n, = 14 540 1,230| 1,770 808 790 960 1,650 860 890 640 1,180 1,160 | 1,050 1,020 In USE SALT (a) Use a calculator with mean and standard deviation keys to verify that x,, S,, x2, and s,. (Round your answers to four decimal places.) x, = X1 ppm S1 ppm X2 ppm S2 , = ppm (b) Let…
Thirty Asian Utility vehicles were tested for biodiesel fuel efficiency (in km/liter). The following frequency distribution was obtained Calculate the exact kurtosis (population) and excess kurtosis of the population (+ interpretation), sample kurtosis for this grouped data.
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…

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