●a.●Assume a = 0.05 unless otherwise noted.Show your work and include appropriate units with answers when relevant.Round all numeric answers to at least 3 decimal places.1. Consider a dataset of two paired variables, X and Y, that have the following properties:X 0SE = 0Provide values for X and Y that have the four properties listed above. There are manypossible solutions, so be sure to show that each of these properties is true.n = 7b. Suppose this data met all assumptions of a paired t-test. Why would you still be unableto test if there is a significant mean difference?

Consider the paired data set:X: 1, 2, 3, 4, 5, 6, 7Y: 3, 4, 5, 6, 7, 8, 9d = X-YThis follows all the…

Answered: 1. Consider a dataset of two paired…

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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The director of student services at Oxnard College is interested in whether women are just as likely to attend orientation as men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 355 395 No 247 239 What can be concluded at the a = 0.01 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: V p2 Но: р1 that p1 and ul represent the proportion and mean for women and p2 and µ2 represent the proportion and mean for men.) vV (please enter a decimal and note H1: p1 p2 vv (Please enter a decimal) b. The test statistic -1.198 X (please show your answer to 3 decimal places.) c. The p-value = 0.2309 (Please show your answer to 4 decimal places.) d. The p-value is >v e. Based on this, we…
Which of the following problems requires ANOVA test? A barangay official wants to know if the mean monthly income of his constituents is ₱30,000.00. A test drive was conducted in order to compare the average number of kilometers traveled per liter using five brands of gasoline. A politician believes that he is followed by 55% of the voters but an opponent says that this is too high for him. A pharmaceutical company claims that brand A pain reliever is more effective than brand B.
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…
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
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…
Suppose a two-way Chi-square test is used to evaluate the relationship between two variables. If both variables have 4 categories or 'items', the number of degrees of freedom (df) for the Chi-square test would be:A. 8B. 7C. 4D. 9 In a two-way Chi-square situation, you are trying to determine if there is a significant relationship between two variables that represent the nominal and/or ordinal scale of measurement.A. TrueB. False What is stated by the null hypothesis in a two-way Chi-square test? A. The two variables have a curvilinear relationshipB. The two variables have very different frequency distributionsC. There is a significant relationship between the two variablesD. There is no significant relationship between the two variables
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is…
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 13.8 19.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1554.45; Σxy = 274b) Find the equation of the least-squares line. (Round your answers to two decimal places.) ŷ = + x (c) Find r. Find the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t =
Alpha equals 0.01 level of significance for the given sample data.
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.x 12.3 28.6 24.5 14.3 7.5 27.7 16.2 20.1y 23 72 39 23 15 30 15 25 a) Compute r. (Round your answer to four decimal places.)
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. x 10.9 30.4 24.5 14.3 7.5 27.7 16.2 20.1 y 23 76 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and…

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