Concept explainers
Student Residences According to the Higher Education Research Institute, 80% of students at baccalaureate-granting colleges who entered college in 2015 lived in College residence halls, 15% lived with Family, and 5% lived in Other types of housing. Suppose that each year, these students changed their residences as described by the following matrix. (Source: The American Freshman: National Norms Fall 2015.)
a. What percentage of the students who lived with family as freshmen lived in college residence halls as sophomores?
b Explain the meaning of the .8 appearing in the center of the matrix.
c. Draw the transition diagram for this Markov process.
d. What percentage of the students lived in college residence halls as sophomores? As juniors?
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Chapter 8 Solutions
Finite Mathematics & Its Applications (12th Edition)
- You are shopping for a new SUV and will choose from 3 models: Explorer Trooper Passport Your criteria are: Consumer Digest ratings Price • Vehicle Appearance Below is a partially completed pairwise comparison matrix: Preference based on Consumer Digest Ratings SUV Options Explorer Trooper Passport Explorer 1 4 8 Trooper A Passport What should the missing number "C" be? Answer as a decimal to 2 decimal places.arrow_forwardThe data comes from the paper "Sex Bias in Graduate Admissions: Data from Berkeley" by Bickel, Hammel, and O'Connell. The data in the file genderbiasberkeley.csv contains the following columns. department-the department letter code (letters A through F) gender-the gender of the student applying to the school, where 1 = male and 2 = female admitted-an indicator showing whether the student was accepted or denied to the program, where 1 = admitted and 2 = denied count-the number of students admitted or denied O Tech Guide You will need to use the TI Tech Guide. A Lab Questions Describe the structure of the data. Is it different than data you have examined before? Specifically, there are 24 rows in this data set, but the set provides information about 4,526 observations (the sum of the "count" column). Describe what each row represents. Each of the six departments (A-F) have four rows of data in this set corresponding to each of the following. 1st row ---Select--- who were Select--- V. 2nd…arrow_forwardMany animals, including humans, tend to avoid directeye contact and even patterns that look like eyes.Some insects, including moths, have evolved eye-spotpatterns on their wings to help ward off predators.Scaife (1976) reports a study examining how eye-spotpatterns affect the behavior of birds. In the study, thebirds were tested in a box with two chambers andwere free to move from one chamber to another. Inone chamber, two large eye-spots were painted onone wall. The other chamber had plain walls. Theresearcher recorded the amount of time each birdspent in the plain chamber during a 60-minute session.Suppose the study produced a mean of M = 34.5 minutes on the plain chamber with SS = 210 for a sample of n = 15 birds. (Note: If the eye spots have no effect,then the birds should spend an average of μ = 30minutes in each chamber.)a. Is this sample sufficient to conclude that the eyespots have a significant influence on the birds’behavior? Use a two-tailed test with α = .05.b. Compute the…arrow_forward
- 4. Philip made 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inches of cord for each necklace. Use matrices to find the number of bracelets and the number of necklaces that Philip made. 5. At the movies, Devin bought three tickets, one drink, and one bag of popcorn for $43.75. Neil bought one ticket, three drinks, and two bags of popcorn for $27.75. Jung bought two tickets, two drinks, and one bag of popcorn for $34. Make an augmented matrix to represent the situation and use it to find out the prices for one ticket, one drink, and one bag of popcorn.arrow_forwardNew attempt is in progress. Some of the new entries may impact the last attempt grading.Your answer is partially correct. The following data represent the 2011 guaranteed salaries (in thousands of dollars) of the head coaches of the final eight teams in the 2011 NCAA Men's Basketball Championship. The data represent the 2011 salaries of basketball coaches of the following universities, entered in that order: Arizona, Butler, Connecticut, Florida, Kansas, Kentucky, North Carolina, and Virginia Commonwealth. (Source: www.usatoday.com) 1950 434 2300 3575 3376 3800 1655 418 Compute the range, variance and standard deviation for these data.Round your answers to the nearest integer, where appropriate. Range = $ 3382 RangeVariance = Enter you answer; VarianceStandard deviation = $ Enter you answer; Standard deviationarrow_forwardA student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that if someone is a business major, he can correctly identify that person as a business major 87% of the time. When a person is an agriculture major, the student will incorrectly identify that person as a business major 16% of the time. Presented with one person and asked to identify the major of this person (who is either a business or an agriculture major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an agriculture major. What would be a Type I error? Saying that the person is a business major when in fact the person is an agriculture major. Saying that the person is an agriculture major when in fact the person is an agriculture major. Saying that the person is an agriculture major when in…arrow_forward
- An intervention program with mothers of low birth weight infants (LBW). It is often difficult to recognize signals from LBW infants, and the program offered training in this domain. One group of mothers received instructions on responding to subtle signals of LBW infants while another group did not receive such instruction. A third group of mothers of normal birth weight infants served as a control group. The mothers were also divided by education level-high school education or less and more than high school education. How many independent variables are there? What type of analysis should be performed? Answer Choices: 3 x 2 ANOVA or 2 x 2 ANOVA or 1 x 2 ANOVA or independent 2-sample t-test The type of statistic you should perform is also called a ? Answer Choices: 1-way ANOVA 2-way ANOVA 3-way ANOVA independent 2-sample t-test How many conditions are present in this study? How many interactions should be tested?arrow_forwardA professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. 65% of the students have never taken a statistics class, 15% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics. Round your answers to three decimal places. a. What is the probability that the first groupmate you meet has studied at least two semesters of statistics? b. What is the probability that the first groupmate you meet has studied some statistics? c. What is the probability that neither of your two groupmates has studied any statistics? d. What is the probability that your two groupmates have studied at least one semester of statistics? e. What is the probability that at least one…arrow_forwardPart 1: The state of Maryland's arrest rate for marijuana possession in 2010 was the fourth highest in the nation. Public records for that year show that police arrested one out of every 250 Maryland residents for possession of marijuana. In addition, while Black people only comprised 30% of the State's population in 2010, 58% of those arrested for marijuana possession were Black. Use the following labels for events describing Maryland residents in the year 2010. M-AMP: Maryland resident was arrested for marijuana possession M-B: Maryland resident was a Black person a) What is the probability that a Maryland resident was arrested for marijuana possession in 2010? b) Use probability notation to express the cited percent values. 30% = P( 58% = P( c) Which of the values cited should be compared to determine whether race and arrests for marijuana possession in the state of Maryland in 2010 are independent?arrow_forward
- A survey of 1363 Canadian students who enrolled in private career colleges was conducted to understand student participation in the private postsecondary education system. In one part of the survey, students were asked about their major source of funding. Here are the survey number of Canadian private students who use government loans, rely on funding from parents, family, or spouse, or use other sources of funding. Fields of Study Number of students use government loans Number of students rely on parents/family/spouse Other funding sources 141 232 Trades Design 214 140 Media T 105 51 165 Other 245 Do Canadian private students' fields of study depend on their major source of funding? Conduct an appropriate test at 5% significance level. Use an appropirate number of digits after decimals at least three. (a) What is your test statistic? x² (b) Find the degrees of freedom: (c) Find the critical value: (d)The p-value is? (e) Do the data suggest that Canadian private students' fields of…arrow_forwardA survey of 1363 Canadian students who enrolled in private career colleges was conducted to understand student participation in the private postsecondary education system. In one part of the survey, students were asked about their major source of funding. Here are the survey number of Canadian private students who use government loans, rely on funding from parents, family, or spouse, or use other sources of funding. Fields of Study Number of students use government loans Number of students rely on parents/family/spouse Other funding sources Trades 141 232 214 140 105 51 165 245 Do Canadian private students' fields of study depend on their major source of funding? Conduct an appropriate test at 5% significance level. Use an appropirate number of digits after decimals at least three. Design Media/IT Other (a) What is your test statistic? x² (b) Find the degrees of freedom: (c) Find the critical value: (d) The p-value is? (e) Do the data suggest that Canadian private students' fields of…arrow_forwardLactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In the United States (ignoring other groups and people who consider themselves to belong to more than one race), 82% of the population is white, 14% is black, and 4% is Asian. Moreover, 15% of whites, 70% of blacks, and 90% of Asians are lactose intolerant. (a) What percent of the entire population is lactose intolerant? (Enter your answer rounded to one decimal place.) percent of the population who are lactose intolerant : 0.3 (b) What percent of people who are lactose intolerant are Asian? (Enter your answer rounded to two decimal places.) percent of people who are lactose intolerant are Asian = 0.1arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill