Let {v1, v2, v3} be a basis for a vector space V , and suppose that w = 3v1 − 5v2 + 0v3. For each of the following sets, indicate if it is: a basis for V , a linearly independent set, or a linearly dependent set. (a) {w, v2, v3} (b) {v1, w} (c) {v1, v2, w} (d) {v1, w, v3} (e) {v1, v2, v3, w}

1. A group of doctors is deciding whether or not to perform an operation. Suppose the null hypothesis, H₀, is: the surgical procedure will go well. State the Type I and Type II errors in complete sentences, and explain which is the error with the greater consequence and why.

2.

An article posted on your college's website claims that 12% of the students at the school use marijuana. You randomly sample 140 students, and 12 students reply that they do indeed use marijuana. You want to conduct a hypothesis test at a 5% level of significance.

What should your conclusion be?

A study is conducted for students taking a statistics class.  Several variables are recorded in the survey.  The 300 students were asked what type of car the student owns, the number of credit hours taken during that semester, the time the student waited in line at the bookstore to pay for his/her textbooks, and the home state of the students.  

1. Which of the following plots would be appropriate to graph the home states of the students?

bar graph, histogram, scatter plot, or side-by-side boxplot

2. The type of car a student owned was classified as an SUV, a sedan, or a sports car.  If the surveyors wanted to explore the relationship between type of car and the time the student waited in line at the bookstore, what plot would be most appropriate?

bar graph, histogram, scatter plot, or side-by-side boxplot

3. The mean number of credits taken during the semester by 300 surveyed students was 15.  The number 15

4. The number of credits taken during the semester for all students at Pitt is known to follow a Normal distribution with mean 14 and standard deviation 3. Based on the 68-95-99.7 rule, what proportion of students take more than 17 credits?

2.5%, 16%, 32%, or 95%

In order to find out the probability that a student will bring a car to campus, 100 students are polled. Of those students, 85 have cars to bring to campus.

a) Find a point estimate for the proportion of students who will bring a car to campus.

b) For the 95% confidence level, find zc, the critical value for the given confidence level.

c) For the 95% confidence level, find the error, E, for the confidence interval (round your answer to two decimal places).

d) Find the 95% confidence interval for the proportion of students who bring their car on campus.

e) Which of the following (1-4) is the correct interpretation of the confidence interval?

----1) We are 95% confident the proportion of students who will bring their car to campus is larger than .78.

----2) We are 95% confident the proportion of students who will bring their car to campus is between .78 and .92.

----3) We are 95% confident that the probability that a random student will bring a car to campus is between .78 and .92.

----4) The proportion of students who will bring their cars to campus is between .78 and .92.

f) The study that was done was a preliminary study and the school will need to repeat the poll to get a 95% confidence interval. What should be the sample size in order for the error to be less than .08?

Please answer the following using bash shell.

1. The students.txt file consists of rows of students where each row contains a student’s first name, last name, major, and 5 test scores. Write a script that uses a while read statement to input all of the students, line by line, computes the average test score and determines the letter grade for that student. Of the 5 test scores, the 5th test is worth double so that you add each test score to a sum but add the 5th test score twice. The average divides by 6 instead of 5. Output for each student, the student’s last name, test average and letter grade. Additionally, sum up the number of students who passed (got at least a D or higher) and the number of students who failed. Output these results at the end. When you run your script, remember to redirect input from students.txt.

2. Write a script that inputs all of the student information and counts the number of students whose major matches the parameter passed to the script. For instance, you might call this script as ./script3 CIT < students.txt, which then counts the number of students whose major is CIT. Output each student by name and the number of students who matched.

1. ​List all the outliers in the given data set. Select the correct choice below and fill in any answer boxes in your choice.

A. The​ outlier(s) is/are _____

​(Use a comma to separate answers as​ needed.)

B.There are no outliers

2. Choose the correct histogram below.

​(c) Choose the possible​ reason(s) for any​ outlier(s) below. Select all that apply.

A. Data entry error

B. A student providing false information

C. A student with unusually high income

D.None of the above

E. There are no outliers.

An 18-year-old male (grade 12 learner), was involved in a pedestrian vehicle accident (PVA), four days ago. He sustained head injuries with subdural haemorrhage and fractures of ribs 2-4 on the left with left haemothorax.

He is day 4 in the intensive care unit (ICU), intubated and mechanically ventilated on SIMV (pressure control) + pressure support mode. His GCS is 2/10. An intercostal drainage (ICD) was inserted on the left. .

Formulate a concept map that has the following criteria:

• Explain a detailed Physiotherapy assessment plan for this patient and justify your answer.
• Explain the mode of ventilation that this patient is on and describe how this patient

will benefit from it.

• Explain the key multidisciplinary professionals that are needed for this patient at this stage and how they will work together for achieving a holistic approach.

Instructions to students: concept map to fit in no more than 3-4 pages. Arial size 11 to be used and a list of all used references should be included.

4. For the Japanese wind lens turbine, the effect of the shroud is to reduce the downstream pressure, e.g., in the rotor wake, say by ?P. Show by modifying the Betz limit, how power production can actually be greater than the Betz limit. Your power production should be a function of a = v4/V. Assume v4 and S4 are known. Get it as close as you can. In the process, recognize that the wind speed at the rotor plane and even in the wake region are greater than the measured wind speed in free stream. Consider the stream tube below. Follow the same methodology used to derive the Betz limit.

(i). Relate all mass flows at each section to the downstream mass flow rate at section 4.

(ii). Apply conservation of mass to relate section areas to S4.

(iii). Apply conservation of linear momentum applied to and Bernouli’s equation to calculate the drag force, D, across the rotor plan.

(iv). Equate these expressions for Drag.

(v). Use conservation of energy to estimate power production as a function of a = v¬4 / V.

Please answer the following questions about the pictured circuit.

A circuit with two batteries, and two loops (three loops if you count the outer loop). The central section has resistor of 5-ohms. The left loop has a 10-V battery with its positive terminal facing up and 5-ohm resistor. The right loop has a 15_V battery with its positive terminal facing down and the third 5-ohm resistor. The current through the 15.0-V battery is I15 = 8 3 A = 2.667 A. What is the current (magnitude and direction) through the 10.0-V battery? (Please enter your numerical answer in decimal form; WebAssign will not accept a fraction.) I10 =__________ A, up/down

through the 10.0-V battery What is the current (magnitude and direction) through the central 5.00-Ω resistor in the circuit (the 5.00-Ω resistor that runs vertically)? (Please enter your numerical answer in decimal form; WebAssign will not accept a fraction.)

I5 = ___________A, up/down through the central 5.00-Ω resistor

Question: Business Law (Topic Consideration)

1.) In the landmark case, Hamer v. Sidway, what were the promises exchanged between the uncle and the nephew? Did the nephew live up to his promise? If so, why didn’t he receive anything from the uncle? What did the nephew give up in exchange for his uncle’s promise? According to the court, why was this sufficient? If this case were to occur today, would the outcome be the same? Why or why not?

2. Read the “You Be The Judge” section of the chapter (Kim v. Son). If you were the judge, how would you rule? Why? Explain.

3. In the Landmark Case, Alaska Packers’ Assoc. v. Domenico, why didn’t the court enforce the APA’s agreement to pay the workers double the original contract amount? What was the legal reason?

4. Briefly explain, what is an accord and satisfaction? In Henches v. Taylor, did Taylor’s check create an accord and satisfaction? Why or why not? What should Henches have done in this case if he didn’t want to create an accord and satisfaction?