1) A series of experiments were conducted to determine the effect of air voids onpercentage retained strength of asphalt. For purposes of the experiment, air voids arecontrolled at three levels; low (1-3%), medium (4-6%), and high (7-9%). The data areshown in Table 1. Do the different levels of air voids significantly affect mean retainedstrength? Use a = 0.05.Table 1: Results of the air voids effect on percentage retained strength of asphaltAir VoidsLowMediumHigh1068078906980Retained Strength (%)1039462909169797076888385928769958385

Null hypothesis: H0:µ1 = µ2 = µ3 Alternative hypothesis: H1: At least one of the means is different…

Answered: 1) A series of experiments were…

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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2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with mean u = 67 inches and standard deviation o = 2.5inches.
Recently, researchers have begun to focus on the relationship between potentially toxic environmental exposures in children to a number of adverse health outcomes. Suppose one such researcher wants to investigate the relationship between lead levels in soil (micrograms/dL) and BMI (kg/m2). The following table represents a SRS of households with the corresponding exterior lead levels and BMI of a randomly sampled child in the home.Leal levels (μg/dL) 13.614.39.79.4 11.4 10.9BMI (kg/m2) 19.719.920.122.1 19.8 21.6A) Write out the null and alternative hypotheses for a formal test of significance testing the correlation between the two variables.B) Calculate a t statistic and interpret your pvalue and results.
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The following data are from an experiment on carnations. The explanatory variable is the amount of inorganic bromine (micrograms per milliliter) in a plot of standard size. The response variable is the average number of flowers per carnation plant for the 30 plants grown in the plot. Find the change in number of flowers per plant given an increase in 1 µg per mL of inorganic bromine. Amount of bromine Average no. of flowers Select one: O a. -0.216 O b. 0.216 O c. O d. -3.81 4.04 3 3.2 4 2.9 6 3.7 7 2.2 8 1.8 10 2.3 12 1.7 15 16 0.8 0.3
The administrator of a school board in a large county was analyzing the average mathematics test scores in the schools under her control. She noticed that there were dramatic differences in scores among the schools. In an attempt to improve the scores of all the schools, she isolated factors that could account for the differences and were easily obtained from HR. Accordingly, she took a random sample of 40 schools across the county and for each determined: Test Score, Y: the mean test score last year at the school sampled Math Dgr, X1: the percentage of teachers in each school who have at least one university degree in math Age, X2: the mean age of the math teachers at the school sampled Income, X3: the mean annual income of the math teachers at the school sampled Data: Test Score Math Dgr Age Income 73.9 77 52 44.4 59.4 48 32 49 64.6 33 50 52.6 59.8 25 43 39.6 58.8 25 40 40.7 58.7 39 33 38 68.5 71 37 25.1…
Table 2: Significant Relationship between Management Capability and Productivity of Employees Leadership Skills Productivity of Employees p-value value Decision on Ho Skills .634** .000 Reject Reject Knowledge .476** .000 Aptitudes .422** .000 Reject Present, analyze and interpret the data. Make your inference at the end of your discussion.
M3
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver's head during a crash test is equal for each types of car. Use a = 0.05, ssw=6300 and SST=6350. 1) The null and the alternative hypotheses are : a) Ho: H1 = H2 = Hg. H: At most one of uj:j = 1,2,3 is different. H : At least one of u;:j = 1,2,3 is different. H: At least one of H;:j = 1,2,3 is different. H: 41 = 42 = Hz. vs b) Ho: 41 = H2 = Hg. Vs %3D Vs d) Ho: At least one of u;:j = 1,2,3 is different. %3D VS 2) The F test statistics= a) 0.0228 b) 0.0218 c) 0.0208 d) 0.0238 3) The critical value = a) 4.3433 b) 5.5433 c) 5.1433 d) 5.3433 4) The decision of the test is: a) Do not reject Ho. There is insufficient evidence that at least one of the population means is different. b) Reject Hg.…
Absenteeism: Absenteeism can be a serious employment problem. It is estimated that absenteeism reduces potential output by more than 10%. Two economists launched a research project to learn more about the problem. They randomly selected 100 organizations to participate in a 1-year study. For each organization, they recorded the average number of days absent per employee and several variables thought to affect absenteeism. Question: Use the t-tests and the slope coefficient for U/M Rel to describe how the relationship between the union and the management affects absenteeism. (both MLR and t-test are provided below) Data: Wage Pct PT Pct U Av Shift U/M Rel Absent 22477 8.5 57.1 1 1 5.4 29939 1.9 41.5 0 1 4.1 22957 12.2 52.6 1 0 11.5 18888 30.8 65.1 0 1 2.1 15078 6.8 68.8 0 1 5.9 15481 5.1 46.4 0 0 12.9 21481 25.3 38.9 0 1 3.5 29687 9.2 17.2 0 0 2.6 13603 8.4 12.9 0 0 8.6 18303 4.9 18.1 0 1 2.7 20832 23.8 64.4 1 1 6.6 22325 24.1 63.7 1 1 2.1 19964 8.6…
The percentage crude protein content of hay was determined based on 10 bale samples collected from each of four locations (plots as treatments) on a large ranch as follows: Plot A 12.8 13.4 11.2 11.6 9.4 10.3 14.1 11.9 10.5 10.4 b. Plot B 8.1 10.3 4.2 7.8 5.6 8.1 12.7 6.8 6.9 6.4 Plot C 9.8 10.6 9.1 4.3 11.2 11.6 8.3 8.9 9.2 6.4 Plot D 16.4 8.2 15.1 10.4 7.8 9.2 12.6 11.0 8.0 9.8 Set up and complete an ANOVA table for a one-way analysis. Show all work.
The following raw data were collected by a health an analyst from 50 smokers. It represents Risk Index (R.I.) (measured as concentration ratio of certain compounds in the blood) which is used as a strong indicator for getting a cardiovascular (CV) disease. We would like to study the effect of each of the three factors (age, mass, and No. of cigarettes) on the R.I. : Answer the following: 1. Classify the data into 3 groups according to age: Young: age < 35, Middle aged: between 36 and 59, and Old: age > 60. Then study if the Risk Index is affected by age class. 2. Classify the data into 3 groups according to body mass: regular mass <70, fat mass between 71 and 99, and obese mass above 100. Then study if the mass has an influence on the R.I. 3. Produce a linear mathematical model that can predict the R.I. based on age, mass and number of cigarettes per day. Use a confidence level of 99%. 4. Comment on your linear model. Is there an evidence that a nonlinear model shall be…
The administrator of a school board in a large county was analyzing the average mathematics test scores in the schools under her control. She noticed that there were dramatic differences in scores among the schools. In an attempt to improve the scores of all the schools, she isolated factors that could account for the differences and were easily obtained from HR. Accordingly, she took a random sample of 40 schools across the county and for each determined: Test Score, Y: the mean test score last year at the school sampled Math Dgr, X1: the percentage of teachers in each school who have at least one university degree in math Age, X2: the mean age of the math teachers at the school sampled Income, X3: the mean annual income of the math teachers at the school sampled Conduct a simple linear regression analysis for each of the variables predicting mean test score and fill in the table below. Variable Equation…

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