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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An experiment was conducted to investigate the effects of the concentrations of sulfuric acid (H₂SO4) and calcium chloride (CaCl₂) on the amount of black mud precipitate in the treatment of alkaline wastewater. There were three levels of each concentration, and two replicates of the experiment were made at each combination of levels. The relevant statistical analysis is provided in the following table. Source DF SS MS F P 2 457.65 228.83 8.845 0.008 H₂SO4 CaCl₂ 2 38783 19391 749.53 0.000 Interaction 4 279.78 69.946 2.704 0.099 Error 9 232.85 25.872 Total 17 39753 a) The appropriate statistical analysis to test would be: a. One-way ANOVA b. Two-way ANOVA C. Three-way ANOVA d. Two-Sample t-test b) Does there appear to be an interaction between concentration of sulfuric acid and calcium chloride at the .05 level? What does this say about the additive model? c) Can the effect of concentration of sulfuric acid on amount of black mud precipitate in the treatment of alkaline wastewater be…
An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 2 3 4 5 6 7 8 9 10 Age 0 0 2 11 7 16 9 0 12 4 Baseline 1.70 4.38 4.06 1.24 5.29 0.59 3.35 3.45 0.73 1.22 Reformulated 1.86 5.91 5.51 2.70 6.50 0.71 4.95 4.86 0.72 1.41 Construct scatter plots of the baseline NOx emissions versus age. What appears to be the nature of the relationship between these two variables? There is no compelling relationship between the data. As age increases, emissions also increase. As age increases, emissions decrease.
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Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of x , the mean water loss of the 34 lizards
Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test. State the appropriate hypotheses. | H₂: M₁ = H₂ = H3 = H4 H₂: all four μ's are unequal • Ho: M₁ = H₂ = H3 = H4 H₂: at least two μ's are unequal ⒸH₂² H₁ H₂ H3 H4 # H: all four μ's are equal O Ho: M₁ #M₂ #H3 H4 H₂: at least two μ's are equal Compute the test statistic value. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence…
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In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen A 1 14.86 14.83 2 9.44 9.41 3 11.99 11.99 4 9.27 9.26 5 6.13 6.13 13.78 13.76 It is reasonable to assume that the population of differences is approximately normal. A hypothesis test was carried out to determine if the mean weight differs between the balances. The results from this hypothesis test procedure carried out in Excel are presented below. You may use this information to answer the questions that follow. t-Test: Paired Two Sample for Means A B Mean 10.91166667 10.89666667 Variance 10.54093667 10.49502667 Observations 6 6 Pearson Correlation 0.999993349 Hypothesized Mean Difference df 5 t Stat 2.66556995 P(T<=t) one-tail 0.022292412 t Critical one-tail 2.015048373 P(T<=t) two-tail t Critical two-tail 0.044584824 2.570581836 a. Give the value of the…
Q.Jarjout et al conduct a study in which they measured bronchalveolar lavage (BAL) fluid histamine levels in subjects with elergic rhinitis,subject with asthama and normal volunteers .One of the measurement obtained was the total protein in BAL samples.The following are the results for the 61 samples they analysed. 76.33 57.73 74.78 100.36 73.50 77.63 88.78 77.40 51.16 62.20 149.49 86.24 57.90 72.10 67.20 54.38 54.07 91.47 62.32 44.73 55.47 95.06 71.50 73.53 57.68 51.70 114.79 61.70 47.23 78.15 53.07 106.00 35.90 85.40 72.30 61.10 72.20 41.98 59.36 63.96 66.60 69.91 59.20 54.41 59.76 128.40 67.10 83.82 95.33 88.17 109.30 79.55 58.50 82.60 153.56 84.70 62.80 70.17 44.40 61.90 55.05 Use the data to prepare; 1.A frequency distribution. 2.A relative frequency distribution. 3.A cumultative frequency distribution. 4.A box and Whisker plot.
A manufacturing company glues one part to another part during the assembly of its final product. Either too much or too little glue presents a problem. It is important for the pressure of the glue nozzle (pounds per square inch) to be set correctly because it affects the amount of glue (ounces) that is applied. Ten applications are sampled and the following information collected: SSXX = 129.6 SSYY = 2.345 SSXY = 16.6 X bar = 25.2 Y bar = 2.05 What is the estimated y intercept?
Denny studied factors affecting cardiovascular reactivity to a postural change in a sample of healthy men and women. Change in systolic blood pressure (SBP) from supine to standing position was used as the measure of cardiac reactivity in a sample of 842 adults. Supine measurement of blood pressure was taken after participants had lain on an examination table for 15 minutes. Blood pressure was determined every 30 seconds using a Dinamap device for 2 minutes, and the measurements were averaged. Participants then stood up immediately, and additional measurements were made for another 2 minutes. Below is a table describing the characteristics of Denny’s sample: Which measures of dispersion, if any, are presented in this table (Ranges, SDs)? If age is normally distributed, approximately what percent of the sample would be younger than 50? If BMI is normally distributed, approximately what percent of the sample would have a BMI higher than 33.1?
Consider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations: population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ] population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09] population3 = [ 17.12, 16.42, 16.43, 17.33] If you run ANOVA on the data for the three populations, what is the range of the P-value? Greater than 0.05 between 0.05 and 0.025 between 0.025 and 0.01 less than 0.01
Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram b) What is the probability that x is less than 2.7 grams?

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