 # Data modeling questions and answers

Recent questions in Modeling data distributions Wierzycaz 2020-12-25 Answered

### What is enterprise data modeling? Braxton Pugh 2020-12-25 Answered

### Answer true or false to each of the statements in parts (a) and (b), and explain your reasoning. a. Two data sets that have identical frequency distributions have identical relative-frequency distributions. b. Two data sets that have identical relative-frequency distributions have identical frequency distributions. c. Use your answers to parts (a) and (b) to explain why relativefrequency distributions are better than frequency distributions for comparing two data sets. Tyra 2020-12-14 Answered

### Give a complete answer and describe Bayes' theorem melodykap 2020-12-14 Answered

### A standard $$\displaystyle{3}\sigma{x}-\overline{}$$ chart has been enhanced with early warning limits at plus-minus one $$\displaystyle\sigma$$ from the centerline . Three sample means in a row have plotted above the $$\displaystyle+{1}\sigma$$ line . what is the probability of this happening if the process is still in control. emancipezN 2020-12-12 Answered

### Census data are often used to obtain probability distributions for various random variables. Census data for families in a particular state with a combined income of $50,000 or more show that 22% of these families have no children, 30% have one child, 27% have two children, and 21% have three children. From this information, construct the probability distribution for x, where x represents the number of children per family for this income group. (Give your answers correct to two decimal places.) $$P(0 \text{children}) =$$ $$P(1 \text{child}) =$$ $$P(2 \text{children}) =$$ $$P(3 \text{children}) =$$ Jaden Easton 2020-12-07 Answered ### Would you rather spend more federal taxes on art? Of a random sample of $$n_{1} = 86$$ politically conservative voters, $$r_{1} = 18$$ responded yes. Another random sample of $$n_{2} = 85$$ politically moderate voters showed that $$r_{2} = 21$$ responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use $$\alpha = 0.05.$$ a) State the null and alternate hypotheses. $$H_0:p_{1} = p_{2}, H_{1}:p_{1} > p_2$$ $$H_0:p_{1} = p_{2}, H_{1}:p_{1} < p_2$$ $$H_0:p_{1} = p_{2}, H_{1}:p_{1} \neq p_2$$ $$H_{0}:p_{1} < p_{2}, H_{1}:p_{1} = p_{2}$$ b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The standard normal. We assume the population distributions are approximately normal. The Student's t. We assume the population distributions are approximately normal. c)What is the value of the sample test statistic? (Test the difference $$p_{1} - p_{2}$$. Do not use rounded values. Round your final answer to two decimal places.) d) Find (or estimate) the P-value. (Round your answer to four decimal places.) e) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level alpha? At the $$\alpha = 0.05$$ level, we reject the null hypothesis and conclude the data are statistically significant. At the $$\alpha = 0.05$$ level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the $$\alpha = 0.05$$ level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the $$\alpha = 0.05$$ level, we reject the null hypothesis and conclude the data are not statistically significant. f) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. djeljenike 2020-12-06 Answered ### Discuss the importance of data modeling. coexpennan 2020-12-02 Answered ### Describe the basic steps that engineers follow to design something. Chaya Galloway 2020-12-02 Answered ### Gastroenterology We present data relating protein concentration to pancreatic function as measured by trypsin secretion among patients with cystic fibrosis. If we do not want to assume normality for these distributions, then what statistical procedure can be used to compare the three groups? Perform the test mentioned in Problem 12.42 and report a p-value. How do your results compare with a parametric analysis of the data? Relationship between protein concentration $$(mg/mL)$$ of duodenal secretions to pancreatic function as measured by trypsin secretion: $$[U/ \frac{kg}{hr}]$$ Tapsin secreton [UGA] $$\leq\ 50$$ $$\begin{array}{|c|c|}\hline \text{Subject number} & \text{Protetion concentration} \\ \hline 1 & 1.7 \\ \hline 2 & 2.0 \\ \hline 3 & 2.0 \\ \hline 4 & 2.2 \\ \hline 5 & 4.0 \\ \hline 6 & 4.0 \\ \hline 7 & 5.0 \\ \hline 8 & 6.7 \\ \hline 9 & 7.8 \\ \hline \end{array}$$ $$51\ -\ 1000$$ $$\begin{array}{|c|c|}\hline \text{Subject number} & \text{Protetion concentration} \\ \hline 1 & 1.4 \\ \hline 2 & 2.4 \\ \hline 3 & 2.4 \\ \hline 4 & 3.3 \\ \hline 5 & 4.4 \\ \hline 6 & 4.7 \\ \hline 7 & 6.7 \\ \hline 8 & 7.9 \\ \hline 9 & 9.5 \\ \hline 10 & 11.7 \\ \hline \end{array}$$ $$>\ 1000$$ $$\begin{array}{|c|c|}\hline \text{Subject number} & \text{Protetion concentration} \\ \hline 1 & 2.9 \\ \hline 2 & 3.8 \\ \hline 3 & 4.4 \\ \hline 4 & 4.7 \\ \hline 5 & 5.5 \\ \hline 6 & 5.6 \\ \hline 7 & 7.4 \\ \hline 8 & 9.4 \\ \hline 9 & 10.3 \\ \hline \end{array}$$ ddaeeric 2020-11-30 Answered ### Identifying Probability Distributions. In Exercises 7–14, determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Cell Phone Use In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses (based on data from “Hemispheric Dominance and Cell Phone Use,” by Seidman et al., JAMA Otolaryngology—Head & Neck Surgery , Vol. 139, No. 5). $$\begin{array}{|c|c|}& P(x)\\ Left & 0.636 \\ Right & 0.304 \\ No\ preference & 0.060\end{array}$$ nitraiddQ 2020-11-29 Answered ### In these problem you are asked to find a function that models a real-life situation. Area. Find a function that models the surface area S of a cube in terms of its volume V. Isa Trevino 2020-11-29 Answered ### Find the value and interest earned if$8906.54 is invested for 9 years at $$\%$$ compounded a) semiannually b) continuosly defazajx 2020-11-27 Answered

### According to one​ study, brain weights of men are normally distributed with a mean of 1.20kg and a standard deviation of 0.13kg. Use the data to answer questions​ (a) through​ (e). a. Determine the sampling distribution of the sample mean for samples of size 3. The mean of the sample mean is $$\mu x = ?$$ The standard deviation of the sample mean is $$\sigma x = ?$$ ​(Round to four decimal places as​ needed.) b. Determine the sampling distribution of the sample mean for samples of size 12. The mean of the sample mean is $$\mu x = ?$$ The standard deviation of the sample mean is $$\sigma x = ?$$ (Round to four decimal places as​ needed.) waigaK 2020-11-26 Answered

### An analysis of laboratory data collected with the goal of modeling the weight (in grams) of a bacterial culture after several hours of growth produced the least squares regression line $$\log(weight) = 0.25 + 0.61$$hours. Estimate the weight of the culture after 3 hours. A) 0.32 g B) 2.08 g C) 8.0 g D) 67.9 g E) 120.2 g nagasenaz 2020-11-26 Answered

### Two drugs, Abraxane and Taxol, are both cancer treatments, yet have differing rates at which they leave a patient’s system. Using terminology from pharmacology, Abraxane leaves the system by so-called “first-order elimination”, which means that the concentration decreases at a constant percentage rate for each unit of time that passes. Taxol leaves the system by “zero-order elimination”, which means that the concentration decreases by a constant amount for each unit of time that passes. (a) As soon as the infusion of Taxol is completed, the drug concentration in a patient’s blood is 1000 nanograms per milliliter $$\displaystyle{\left(\frac{{{n}{g}}}{{{m}{l}}}\right)}.$$ 12 hours later there is $$\displaystyle{50}\frac{{{n}{g}}}{{{m}{l}}}$$ left in the patient’s system. Use the data to construct an appropriate formula modeling the blood concentration of Taxol as a function of time after the infusion is completed. (b) As soon as the infusion of Abraxane is completed, the drug concentration in a patient’s blood is 1000 nanograms per milliliter $$\displaystyle{\left(\frac{{{n}{g}}}{{{m}{l}}}\right)}$$. 24 hours later there is $$\displaystyle{50}\frac{{{n}{g}}}{{{m}{l}}}$$ left in the patient’s system. Use the data to construct an appropriate formula modeling the blood concentration of Abraxane as a function of time after the infusion is completed. (c) Find the long-term behavior of the function from part (b). Is this behavior meaningful in the context of the model? DofotheroU 2020-11-24 Answered

### According to the article “Modeling and Predicting the Effects of Submerged Arc Weldment Process Parameters on Weldment Characteristics and Shape Profiles” (J. of Engr. Manuf., 2012: 1230–1240), the submerged arc welding (SAW) process is commonly used for joining thick plates and pipes. The heat affected zone (HAZ), a band created within the base metal during welding, was of particular interest to the investigators. Here are observations on depth (mm) of the HAZ both when the current setting was high and when it was lower. $$\begin{matrix} Non-high & 1.04 & 1.15 & 1.23 & 1.69 & 1.92 & 1.98 & 2.36 & 2.49 & 2.72 & 1.37 & 1.43 & 1.57 & 1.71 & 1.94 & 2.06 & 2.55 & 2.64 & 2.82 \\ High & 1.55 & 2.02 & 2.02 & 2.05 & 2.35 & 2.57 & 2.93 & 2.94 & 2.97 \\ \end{matrix}$$ c. Does it appear that true average HAZ depth is larger for the higher current condition than for the lower condition? Carry out a test of appropriate hypotheses using a significance level of .01. Cabiolab 2020-11-20 Answered

### Solve the general initial value problem modeling the LR circuit, $$\displaystyle{\frac{{{d}{l}}}{{{\left.{d}{t}\right.}}}}+{R}{I}={E},{I}{\left({0}\right)}={I}_{{{0}}}$$, where E is a constant source of emf. e1s2kat26 2020-11-20 Answered

### The article “Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants” (Water Research, 1984: 1169-1174) suggests the uniform distribution on the interval (7.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. a. What are the mean and variance of depth? b. What is the cdf of depth? c. What is the probability that observed depth is at most 10? Between 10 and 15? d. What is the probability that the observed depth is within 1 standard deviation of the mean value? Within 2 standard deviations? Chardonnay Felix 2020-11-17 Answered

### The tallest person who ever lived was approximately 8 feet 11 inches tall. a) Write an inequality that represents the heights of every other person who has ever lived. b) Is 9 feet a solution of the inequality? Explain remolatg 2020-11-12 Answered

### What is a data model, and why is its purpose? What is conceptual modeling? What do we need to use conceptual modeling? What are the functions of a DBMS? Provide an example of their use.

Statistics and probability also include various data modeling questions, which can be encountered basically everywhere from Social Sciences and Biology to Engineering and Data Science. Depending on your questions, you can receive immediate help by looking through the data modeling examples that we have presented below for you. These will help you to find solutions and find the answers to presented challenges. It is recommended to model your data carefully and to check things twice to ensure that everything is correct because accuracy is the key to any statistical work where a calculation is involved.
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