Comparative andQuestion 12A factory produces bottles of water. Two different machines are used to fill empty bottles with themanager chooses a random sample of 50 bottles filled by machine A and a random sample of 60 bcmachine B. The volumes of water, x and y, respectively, measured in appropriate units are summariΣΧ-455, Σ-60.965, ΣΥ- 72.3. ΣΥ- 132.2Test at the 10% significance level, whether there is any difference in the means of the volume of wmachine B (u,) and the volume of water filled by machine A (U).The calculated value of z isA. 1.841B. 1.980C. -1.841D. -1.992OD

In hypothesis testing, there are two hypotheses - null and alternative. The null hypothesis must…

Answered: Question 12 A factory produces bottles…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 8PPS

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Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?
A health officer is trying to study the malaria situation of Zambia. From the records of seasonal blood survey (SBS) results he came to understand that the proportion of people having malaria in Zambia was 3.8% in 2015. The size of the sample considered was 15,000. He also realized that during the year that followed (2016), blood samples were taken from 10,000 randomly selected persons. The result of the 2016 seasonal blood survey showed that 200 persons were positive for malaria. Help the Health officer in testing the hypothesis that the malaria situation of 2016 did not show any significant difference from that of 2015 (take the 5% level of significance).
University bookstores order books that instructors adopt for their courses. The number ofcopies ordered matches the projected demand. However, at the end of the semester, thebookstore has too many copies on hand and must return them to the publisher. A bookstorehas a policy that the proportion of books returned should be kept as small as possible. Theaverage is supposed to be less than 10%. To see whether the policy is working, a randomsample of book titles was drawn, and the fraction of the total originally ordered that arereturned is recorded and listed here. Can we infer at the 10% significance level that the meanproportion of returns is less than 10%?4 15 11 7 5 9 4 3 5 8
The FDA conducted a study to determine whether corn in a certain region contained unhealthy levels of pesticides. A biologist classified pesticide levels greater than 6.0 parts per million (ppm) as unhealthy. The pesticide levels of a random sample of 23 bushels in the region were measured and recorded. The data are shown in the stemplot below. Pesticide Levels 2 | 8 3 | 0 3 | 5 8 8 4 | 1 1 2 4 | 6 8 8 5 | 0 1 2 2 3 4 5 | 9 9 6 | 3 4 6 | 6 8 Key: 2 | 8 = 2.8 ppm What proportion of bushels of corn in the sample had pesticide levels that are classified by the biologist as unhealthy? The mean pesticide level of the 23 bushels of corn in the sample was 4.90 ppm and the standard deviation was 1.12 ppm.Construct and interpret a 95 percent confidence interval for the mean pesticide level of corn in the region
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Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.7 4.5 4.2 3.3 2.1 (units: mm Hg/10) y 44.8 34.5 26.2 16.2 13.9 (units: mm Hg/10) (b) Use a 1% level of significance to test the claim that ? > 0. (Use 2 decimal places.) t critical t (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 5.5. (Use 2 decimal places.)(e) Find a 95% confidence interval for y when x = 5.5. (Use 1 decimal place.) lower limit upper limit (f) Use a 1% level of…
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) (g) Find a 90% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Σx = 21.8, Σy = 132.2, Σx2 = 108.64, Σy2 = 4062.1, Σxy = 662.8, and r ≈ 0.985. Σx Σy Σx2 Σy2 Σxy r (b) Use a 5% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t critical t
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.8 5.5 4.2 3.3 2.1 (units: mm Hg/10) y 44.2 33.9 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Σx = 21.9, Σy = 134.4, Σx2 = 109.43, Σy2 = 4244.94, Σxy = 679.7, and r ≈ 0.985. Σx Σy Σx2 Σy2 Σxy r (b) Use a 10% level of significance to test the claim that ? > 0. (Use 2 decimal places.) t critical t
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) Σx = 21.8, Σy = 132.2, Σx2 = 108.64, Σy2 = 4062.1, Σxy = 662.8, and r ≈ 0.985. (b) Use a 5% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t critical t (e) Find a 90% confidence interval for y when x = 3.3. (Use 1 decimal place.) lower limit upper limit (f) Use a 5% level of significance to test the claim that β > 0. (Use 2…
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) (c) Verify that Se ≈ 2.4092, a ≈ -1.278, and b ≈ 6.357. Se a b (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 3.3. (Use 2 decimal places.)(e) Find a 90% confidence interval for y when x = 3.3. (Use 1 decimal place.) lower limit upper limit (f) Use a 5% level of significance to test the claim that β…

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