Each year about 1500 students take the introductory statistics course at a large university. This year scores on the final exam are distributed with a median of 74 points, a mean of 70 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the final) but a few students scored below 20 points. a.Is the distribution of scores on this final exam symmetric, right skewed, or left skewed? b.Would you expect most students to have scored above or below 70 points? c.What is the probability that the average score for a random sample of 40 students is above 75? (please round to four decimal places) Additionally, can this question be answered using excel or statcrunch?

A study of identity theft looked at how well consumers protect themselves from this increasingly prevalent crime. The behaviors of 63 college students were compared with the behaviors of 58 non students. One of the questions was "When asked to create a password, I have used either my mother's maiden name, or my pet's name, or my birth date, or the last four digits of my social security number, or a series of consecutive numbers." For the students, 24 agreed with this statement while 29 of the non students agreed.

(a) Display the data in a two-way table.

Perform the chi-square test. (Round your χ² to three decimal places and round your P-value to four decimal places.)

Summarize the results.

We can conclude at the 5% level that students and nonstudents differ in the response to this question.We cannot conclude at the 5% level that students and nonstudents differ in the response to this question.    

(b) Reanalyze the data using the methods for comparing two proportions that we studied in the previous chapter. Compare the results and verify that the chi-square statistic is the square of the z statistic. (Test students who agreed minus nonstudents who agreed. Round your z to two decimal places and round your P-value to four decimal places.)

(c) The students in this study were junior and senior college students from two sections of a course in Internet marketing at a large northeastern university. The nonstudents were a group of individuals who were recruited to attend commercial focus groups on the West Coast conducted by a lifestyle marketing organization. Discuss how the method of selecting the subjects in this study relates to the conclusions that can be drawn from it.

In 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by ethnicity: 54.9% White; 21.1% Hispanic; 7.9% Black; 4.5% Asian/Pacific Islander; 2.9% Native American; 8.8% Other. Information was collected from a random sample 0f 300 students in 2017 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the α=0.10α=0.10 level of significance, test the claim that the ethnic breakdown of students at MCCCD has not changed significantly since 2010.

Which would be correct hypotheses for this test?

• H0:μ1=μ2H0:μ1=μ2; H1:μ1≠μ2H1:μ1≠μ2
• H0:H0:The breakdown of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits); H1:H1:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits)
• H0:p1=p2H0:p1=p2; H1:p1≠p2H1:p1≠p2
• H0:H0:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits); H1:H1:The breakdwon of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits)

Ethnicity of students in sample:

Test Statistic:



Give the P-value:



Which is the correct result:

• Reject the Null Hypothesis
• Do not Reject the Null Hypothesis

Which would be the appropriate conclusion?

• There is enough evidence to suggest that the breakdown of students by ethnicity has changed significantly since 2010.
• There is not enough evidence to suggest that the breakdown of students by ethnicity has changed significantly since 2010.

1. A researcher team reports that the elementary school students who were served orange juice during the science test had higher scores than the students who did not given orange juice. For this study, what is the independent variable?

• A. the students who were not served orange juice.

• B. the performance on the science test.

• C. the students who were served orange juice.

• D. whether or not orange juice was served.

2. A researcher team reports that the elementary school students who were served orange juice during the science test had higher scores than the students who did not given orange juice. For this study, what is the dependent variable?

• A. whether or not orange juice was served.

• B. the performance on the science test.

• C. the students who were not served orange juice.

• D. the students who were served orange juice.

3. A researcher wants to find out if there is a relationship between test anxiety and student’ test performance. He randomly selected a sample of n = 120 high school students. All students were given a brief questionnaire to assess their anxiety level before taking the test. The researcher recorded the anxiety score and the test score of each student. What statistical test should be used by the researcher to find out if there is a significant correlation between test anxiety and test performance?

• A. Chi² for Goodness of Fit.

• B. One-factor Anova for independent samples

• C. T-test for independent samples.

• D. Chi² for Independence.

• E. Pearson correlation.

• F. T-test for dependent samples.

4. What is evaluated by the Chi² test for Independence?

• A. The relationship between two nominal variables.

• B. The difference between mean scores of two or more samples.

• C. The differences in distribution of frequencies between categories of one nominal variable.

• D. None of the above.

Directions:

Using a vector of integers that you define.

Write a C++ program to run a menu driven program with the following choices:

1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit

Make sure your program conforms to the following requirements:

1. Write a function called getValidAge that allows a user to enter in an integer and loops until a valid number that is >= 0 and < 120 is entered. It returns the valid age.

2. Write a function called displayAges that takes in a vector of integers as a parameter and displays the ages in the format in the sample run below.

3. Write a function called AddAge that takes in a vector of integers by reference as a parameter, asks the user to input a valid age, and adds it to the vector of integers .

4. Write a function called getAverageAge that takes in a vector of integers as a parameter, computes, and returns the average age.

5. Write a function called getYoungestAge that takes in a vector of integers as a parameter, computes, and returns the youngest age.

6. Write a function called getNumStudentsVote that takes in a vector of integers as a parameter, computes, and returns the number of ages in the vector that are >= 18. (15 points).

7. Write a function called RemoveStudentsLessThanSelectedAge that takes in a vector of integers as a parameter, asks the user for an age, creates a new vector of integers that only contains the ages in the parameter vector which are >= the age selected by the user and returns the new vector.

8. Add comments wherever necessary.

NOTE: You must take care of the case when the vector is empty and an operation is being performed on it. In such cases the program should display a 0 for the given result.

Sample Runs:

NOTE: not all possible runs are shown below.

Welcome to the students age in class program!
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..1
Student ages:

1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..3
Average age = 0
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..4
Youngest age = 0
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..5
Number of students who can vote = 0
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..6
Please enter in the age...
5
Students removed
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..2
Please enter in the age...
4
Age added
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..2
Please enter in the age...
24
Age added
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..2
Please enter in the age...
18
Age added
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..2
Please enter in the age...
12
Age added
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..1
Student ages:
4 24 18 12
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..3
Average age = 14
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..4
Youngest age = 4
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..5
Number of students who can vote = 2
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..6
Please enter in the age...
15
Students removed
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..1
Student ages:
24 18
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..3
Average age = 21
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..4
Youngest age = 18
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..5
Number of students who can vote = 2
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..-8
Select an option (1..7)..8
Select an option (1..7)..1
Student ages:
24 18
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..2
Please enter in the age...
-8
Please enter in a valid age (1-120) ...
130
Please enter in a valid age (1-120) ...
55
Age added
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..1
Student ages:
24 18 55
1) Display the ages
2) Add an age
3) Display the average age
4) Display the youngest age
5) Display the number of students who can vote
6) Remove all students less than a given age
7) Quit
Select an option (1..7)..7

Process finished with exit code 0

General Requirements:

1. Please make sure that you're conforming to specifications (program name, print statements, expected inputs and outputs etc.). Not doing so will result in a loss of points. This is especially important for prompts.

2. If we have listed a specification and allocated point for it, you will lose points if that particular item is missing from your code, even if it is trivial.

3. No global variables (variables outside of main() ) unless they are constants.

4. All input and output must be done with streams, using the library iostream

5. You may only use the iostream, iomanip, and vector libraries. Including unnecessary libraries will result in a loss of points.

6. NO C style printing is permitted. (Aka, don't use printf). Use cout if you need to print to the screen.

7. When you write source code, it should be readable and well-documented (comments).

After completing the reading this week, we reflect on a few key concepts this week:

1. Organizational performance is the fifth aspect of the model, reflect on the question, do certain leadership behaviors improve and sustain performance at the individual, group, and organizational level? Please explain your response.
2. There were two types of innovation addressed this week (product and process innovation), please note your own personal definition of these concepts and offer an example of both.

Please be sure to answer all of the questions above in the initial post.

Please ensure the initial post and two response posts are substantive. Substantive posts will do at least TWO of the following:

• Ask an interesting, thoughtful question pertaining to the topic
• Expand on the topic, by adding additional thoughtful information
• Answer a question posted by another student in detail
• Share an applicable personal experience
• Provide an outside source
• Make an argument

At least one scholarly (peer-reviewed) resource should be used in the initial discussion thread. Please ensure to use information from your readings and other sources from the UC Library. Use APA references and in-text citations.

Please be sure to engage by Wednesday at 11:59pm ET and then engage on two more days throughout the week (for a total of three days of engagement, before Sunday at 11:59pm, ET.  

Current through a heated metal wire

A 39.5 m long copper wire at a temperature of 22.9 ^oC has a radius of 0.275 mm. If a potential difference of 11.8 V is applied across the length of the wire, determine the current in the wire.

If the wire is heated to 90.6 ^oC and the 11.8 V potential difference is maintained, what is the resulting current in the wire?

1. Let G be a bipartite graph with 107 left vertices and 20 right vertices. Two vertices u, v are called twins if the set of neighbors of u equals the set of neighbors of v (triplets, quadruplets etc are defined similarly).

   Show that G has twins.
   Bonus: Show that G has triplets. What about quadruplets, etc.?

Create a noninverting schmitt trigger using voltage divider as it reference voltage.

Designt requirement:

1. Op-amp(comparator) with V+ as 5V and V- connected to ground

2. Assume input is noisy voltage

3. Output should display only high and low(ground voltage values)

4. How many threshold values are there?

Fill in the blanks in the MATLAB code below. (Do not type unnecessary words or blank spaces in your response. The correct answers are case-sensitive.)

% Consider a row vector v.

% Complete the lines of code below to find the average and standard deviation of the elements of vector v such that these two values are assigned to variables M and S, respectively.

E =

G =