The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.

39 is the point estimate of the difference between the means for the two populations.

A. Find the value of the test statistic. (Round your answer to three decimal places.)

B. Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)

A university gives every student an entrance exam at the beginning of their freshman year. The exam includes general knowledge questions and specific subject questions. Scores are recorded in each students file and used for course placement purposes. Each year 25 students are randomly sampled for further questioning and testing. The scores for all students in the Fall of 2019 are normally distributed with mean 81 and standard deviation 5.

Suppose you were asked the next two questions (don’t answer them yet!):

Question A: “What is the probability a randomly chosen student from the Fall 2019 scores better than 83 on the exam?”
Question B: “What is the chance the average of the sampled 25 students on the entrance exams is more than 83?

1. (3 points) In which question (Question A or Question B) would you need to use the central limit theorem to solve? Why?

2. (4 points) For each Question A and Question B the solution and distribution is below.
   Your tasks are to:

   1. Indicate which graph/solution represents

      the correct answer for each question.

   2. State why you believe the graph/solution is

      correct.

   3. State why you believe the remaining

      graphs/solutions are incorrect.

Assignment (C language, not C ++)

Start a new project to store grade information for 5 students using structures.

1. Declare a structure called student_t that contains :
   
   • First name
   • Last name
   • Student ID Number
   • Percentage grade
   • Letter grade
     
2. Create the following functions:
   
   getStudentInfo(void)- Declares a single student object
   - Uses printf()/scanf() to get keyboard input for Name, SID, and Percentage (not Letter).
   - Returns a single student structure
   
   calcStudentGrade(student_t *st_ptr)- Takes the pointer to a student (to avoid making a copy)
   - Uses the student's percentage to determine and store their letter grade
   
   printStudentInfo(student_t *st_ptr)- Takes the pointer to a student (to avoid making a copy)
   - Prints out all of the student information
   
3. Declare an array of five students
   
4. Using a for loop and getStudentInfo() function, get input of all the students
   
5. Using a for loop and calcStudentGrade() function, determine and store all student's letter grades.
   
6. Using a for loop and printStudentInfo() function, print all the output of all students.
   

Example output:

     NAME              SID         SCORE   GRADE
     Hopper, Grace     135792468   97.5%   A
     Turing, Alan      198765432   82.9%   B
     Babbage, Charles  165754329   79.0%   C
     Lovelace, Ida     147632391   92.4%   A
     Neumann, John     200638730   99.0%   A

180 students were asked to randomly pick one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The number 7 was picked by 61 students.

a) For the sample, calculate the proportion of students who picked 7. (Round the answer to three decimal places.)

(b) Calculate the standard error for this sample proportion. (Round the answer to three decimal places.)

(c) Calculate a 90% confidence interval for the population proportion. (Round the answer to three decimal places.) to

(d) Calculate a 95% confidence interval for the population proportion. (Round the answer to three decimal places.) to

(e) Calculate a 98% confidence interval for the population proportion. (Round the answer to three decimal places.) to

(f) What do the results of parts (c)-(e) indicate about the effect of confidence level on the width of a confidence interval? (Select all that apply.)

As the confidence level is increased, the width of the interval decreases.

As the confidence level is decreased, the width of the interval decreases.

As the confidence level is decreased, the width of the interval increases.

As the confidence level is increased, the width of the interval increases.

(g) On the basis of these confidence intervals, do you think that students choose numbers "randomly"?

Yes

No

Assume Jinan University and an American Professor signed a contract for a summer business arrangement. In the contract, the professor promised to teach for the summer in Guangzhou, and in return, Jinan University promised to pay the professor $1 million. In preparation for the arrival of the professor, Jinan paid $20,000 for a fancy Guangzhou apartment for the professor. Jinan also bought $2,000 plane tickets, $500 in weekend tours, and $200 in equipment for the professor.

In addition, Jinan spent $12,000 in advertising, showing possible students that the professor was coming to teach. 500 students saw the advertising. Each paid $20,000 to Jinan to enroll. The students gave up the opportunity to attend a different program in Guangzhou. The other program would have cost each student $30,000.

All of the students fly to Guangzhou, spending $2,500 on airfare. Each also paid $10,000 for excellent apartments near the university. The university was ready to go.

Then the night before classes start, the professor calls and says he decided not to come. In the above story, who can sue whom? What will each party argue in each case? What legal concepts are involved from our class? Discuss how much (if anything) different parties would pay. Explain. Be thorough. Please also be specific.

The Gourmand Cooking School runs short cooking courses at its small campus. Management has identified two cost drivers it uses in its budgeting and performance reports—the number of courses and the total number of students. For example, the school might run two courses in a month and have a total of 60 students enrolled in those two courses. Data concerning the company’s cost formulas appear below:

For example, administrative expenses should be $3,500 per month plus $45 per course plus $5 per student. The company’s sales should average $900 per student.

The company planned to run four courses with a total of 60 students; however, it actually ran four courses with a total of only 54 students. The actual operating results for September were as follows:

Assume Jinan University and an American Professor signed a contract for a summer business arrangement. In the contract, the professor promised to teach for the summer in Guangzhou, and in return, Jinan University promised to pay the professor $1 million. In preparation for the arrival of the professor, Jinan paid $20,000 for a fancy Guangzhou apartment for the professor. Jinan also bought $2,000 plane tickets, $500 in weekend tours, and $200 in equipment for the professor.

In addition, Jinan spent $12,000 in advertising, showing possible students that the professor was coming to teach. 500 students saw the advertising. Each paid $20,000 to Jinan to enroll. The students gave up the opportunity to attend a different program in Guangzhou. The other program would have cost each student $30,000.

All of the students fly to Guangzhou, spending $2,500 on airfare. Each also paid $10,000 for excellent apartments near the university. The university was ready to go. Then the night before classes start, the professor calls and says he decided not to come.

In the above story, who can sue whom? What will each party argue in each case? What legal concepts are involved from our class? Explain. Be thorough.

Please be specific on bold font questions !!

Using SHA 256 in Cryptool find the hash values (hash digests) for the following messages: (Show your work by capturing screen images)

1. Character 0 (note the word Character is not included)
2. Character 1 (note the word Character is not included)
3. Fort Valley State University is where talented students come simply for the opportunity to be brilliant. Located in the heart of Georgia, FVSU combines the personal attention and family feel of a small, private college with the resources and research found at large public universities. Located on the second largest acreage of any Georgia university, it is the only university in the world which at once is a University System of Georgia institution, a historically black university, and an 1890 land-grant institution, with a directive to use knowledge to improve the lives of students and non-students alike. Leveraging the reputation for excellence FVSU has built since 1895, the university is preparing students to embrace their genius as future global leaders and enabling discovery which will make real that only now imagined.
   That’s why our motto and tagline is “empower the possible.
4. Change the message in 3 by 1 bit and find the hash of it. You need to explain how you change the message by a single bit

A small school has only two 4^th grade classes and two 5^th grade classes. Each year, students at the school take the Nebraska Test of Basic Skills (NTBS) in math and Language Arts. The Excel file, 745 Project Data, contains all of the scores for a certain class tracked over their 4^th and 5^th grade years.

Create a frequency distribution and cumulative frequency distribution of the 4^th Grade Math test scores for all of the students. Use 5 classes.

Create a histogram, frequency polygon, and ogive for the 4^th Grade Math test scores for all of the students.

Create a box-and-whiskers plot for the 5^th Grade LA test scores for all of the students.

Determine whether or not students in the two 4^th grade classes have the same average scores in math, and whether or not students in the two 4^th grade classes have the same average score in language arts. For both tests, use ? = 0.05.

It has been observed that Crenshaw’s students don’t seem to do in well in math. To investigate that, for the 19 students who had Crenshaw in 5^th grade, determine whether or not their math scores decreased from 4^th to 5^th grades. Use ? = 0.05. Do the same for the 17 students who had Davis in 5^th grade. What can you conclude from these tests?

On the other hand, Crenshaw’s students seem to excel in language arts. To investigate that, for the 19 students who had Crenshaw in 5^th grade, determine whether or not their language arts scores increased from 4^th to 5^th grades. Use ? = 0.05. Do the same for the 17 students who had Davis in 5^th grade. What can you conclude from these tests?

On the basis of questions 4 through 6, what would you, as an administrator, recommend regarding Crenshaw and Davis?

Determine whether or not there is a relationship between the math scores and the LA scores in 4th grade, and if there is a relationship between the math scores and the LA scores in 5th grade. Use ? = 0.05.