Find the equation of the line through the point P = (0,2,−1) that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉.

v and w are vectors by the way

2 Confidence Intervals & Hypothesis Tests

The STAT 200 course coordinator wants to estimate the proportion of all online STAT 200 students who utilize Penn State Learning’s online tutoring services by either attending a live session or viewing recordings of sessions. In a survey of 80 students during the Fall 2018 semester, 29 had utilized their services. She used bootstrapping methods to construct a 95% confidence interval for the population proportion of [0.263, 0.475]. Use this information to answer the following questions.

1. Supposed the coordinator decides that she wanted to conduct a hypothesis test instead. She wants to know if the proportion who utilize Penn State Learning’s online tutoring services is different from 0.20. What would be the appropriate null and alternative hypotheses?

2. Based on the 95% bootstrap confidence interval, would you expect the coordinator to reject or fail to reject the null hypothesis from part a at the 0.05 alpha level? Explain your reasoning.

Hint: A hypothesis test does not need to be conducted; use the confidence interval given in the question.

Using this scenario, compare and contrast confidence intervals and hypothesis testing. List at least one similarity and at least one difference.

Bundoora College has a small book store that opens for students, staff and general public. Currently, they use a manual order system. The manager asked you to build a database for them. You had an interview session with him and you get a general overview about the database requirements. The database should store:

• Orders information made by students, staff or general public. The order should have order number, the date and the time it is made.
• Customers details, so that the manager can notify the customers with the order status as well as send promotional material. The detail includes customer code, the full name, home address, contact phone number, and email address.
• List of the items in each order. The items can be books and/or stationeries. For each book, you should be able to include the details such as the title, the authors, the ISBN, and the price. For stationery, you should have the code, description, and price.
• If a book is required for a particular subject offered in Bundoora College, the database should store this data as well. The information includes the subject code, the subject name, the coordinator name, and the semester it is offered.

Create an Entity-Relationship Diagram (ERD) for the bookstore database. Make sure you include all required entities, relationships and cardinalities information.

For each of the problems below, list the type of test that is appropriate and describe why it is appropriate. (4 points each)

Clearly label each answer!

a. A researcher thinks that smoking cigarettes causes headaches. He measures whether 50 smokers have headaches prior to smoking cigarettes. He then has all the subjects smoke 2 cigarettes then measures the degree to which 50 smokers have headaches.

b. A researcher wants to know if people with larger heads are smarter. He collects IQ scores for 50 people with small heads and IQ scores for 50 people with large heads.

c. A psychology researcher randomly assigns a group of 50 high school students to receive a new assertiveness training program and 45 other high school students to receive the standard after-school program that focuses on social skills. She later measures how well each group performs on a measure of interpersonal assertiveness.

d. A researcher is interested in how family size influences social interaction. She has 12 subjects from very small families, 10 subjects from small families, 12 subjects from medium families, and 14 subjects from large families take a test on introversions.

ELISA Data Sheet

1) Please record the sample ID and the color present in each of the wells of your test strip (either blue or clear).

2) Which students are positive for the disease antigen?

3) Which classmate(s) appear to be the original source(s) of the disease (see the ELISA Tracking list)? Note that you should be able to narrow it down to two people.

4) If a sample showed a negative result, does this mean that the person does not have the disease? Why might someone have gotten a negative result when they really do have the disease?

5) If a sample showed a positive result, was the person in "direct" contact with one of the originally infected students (answer from question #3)? If they were not, what does this tell you about disease transmission in a population?

6) Why were the tests run in triplicate?

Using draw.io diagram tool, design a database schema for an application that tracks and manages students’ applications for a university. Make sure to create proper primary key for each entity. Add relations and specify cardinalities.

• All entities and attributes must be named using the underscore convention. Highlight primary keys in red
• List any assumptions you have made

• Use diamonds and the association on the arrow.

• THINGS TO KEEP IN MIND :

• The university needs to keep track of students’ application. The application contains information about student: name, address, phone number, DOB, SSN, and generate a unique ID for each student.
• Education records has to be submitted as well. The education records contain information about previous degrees, GPA, name of school attended and dates ( from – to dates)
• Test scores are also submitted along with applications. The student can submit more than one test score. The test score consist of test type, date and score.
• The student should also specify which major they are applying to, for what term
• The university assign one employee from the admission office to process the application. The employee will handle multiple application at the same time.
• Applications can be submitted to different departments.

Use following case and create Entity-Relationship Diagrams using the Crow’s Feet method for each. Each ERD should be completed on a separate sheet of paper, if drawn by hand. If additional assumptions are made for any of your 2cases, be sure to document the additional business rules and include them with your ERDs.

Entity-Relationship Diagram : TEXTBOOK REVIEWS Your website would like to add the ability for school BIT students to provide reviews for textbooks they have previously used. Using the following business rules, create an ERD:

Students must enter the ISBN for the book, along with its title, author, publisher, and copyright date.

Users will be asked to select what course the book was used for from a predefined list of courses offered in the BIT division.

Each course will be assigned to a program such as Web Development, Software Development, Computer Support, Photography, etc.

Each book can have more than one author.

Each book can only have one publisher.

Each book could have been used in multiple courses.

Many reviews could be written for a book, but each review can only be about one book.

Reviews may be written anonymously or by a logged in user.

If the instantaneous value of a voltage in an AC circuit of the communication system (at any time t seconds) is given by V= 142sin(8πt-0.125π) volts, determine:

1). Given that the voltage waveform can also be represented as V=Rsin(ωt+θ), use compound angle identities to resolve the resultant voltage waveform into its two component waveforms: asinωt and bcosωt.

2). In another circuit the voltage, V is made up of two components v1 = (A/3)Sin(t) and v2 = (A/2)Cos(t). Sketch the two component waveforms and the resulting waveform V= (A/3)Sin(t) + (A/2)Cos(t) on the same axes and estimate from your graph the equation of the combined waveform. Also analytically calculate, showing all your working, the parameters (R&θ) of the equation of the combined waveform if represented as V=Rsin(Ѡt+θ), giving θ in radians.

C++

Part 1: Developing And Testing A Stack Template

Write a template, Stack.h, to implement a LIFO stack. Here is the specification for its public interface:

class Stack
{
  ...
  Stack( ); // may have a defaulted parameter
  Stack(const Stack<V>&); // copy constructor
  ~Stack();
  Stack<V>& operator=(const Stack<V>&);
  void push(const V&);
  const V& peek( );
  void pop( );
  int size( ) const;
  bool empty( ) const;
  void clear( );
}; 

If you use dynamic memory (and you surely will!) be sure to include the three memory management functions as public members, too. You may implement your Stack as arrayed or as linked -- your choice.

Fully test your template in a test driver CPP named Stack.TestDriver.cpp, remembering to include all the tests we've learned about in this class. Then use the H file in the following application:

need algorithm not code otherwise will downvote 10 times use ms team or latex code or pdf only
Consider an n-node complete binary tree T, where n = 2d − 1 for some d. Each node v of T is labeled with a real number xv. You may assume that the real numbers labeling the nodes are all distinct. A node v of T is a local minimum if the label xv is less than the label xw for all nodes w that are joined to v by an edge.
You are given such a complete binary tree T, but the labeling is only specified in the following implicit way: for each node v, you can determine the value of xv by probing the node v. Show how to find a local minimum of T using only O(logn) probes to the nodes of T.
Note:- dont use handwritten image