For each question draw the normal curve and shade the area where applicable

Do not give calculator key strokes. ( Give the formula used )

Circle your answer to each question.

3. The daily salaries of substitute teachers for eight local school district is given:

                              60, 56, 60, 55, 70, 55, 60, 55.

1. What is the point estimate of the population mean μ. (Sample Mean)
2. Find the 90% confidence interval for the mean salaries of substitute teachers in the eight local school districts.

College bound: A national college researcher reported that 64%  of students who graduated from high school in 2012 enrolled in college. Twenty eight high school graduates are sampled. Round the answers to four decimal places.

(a) What is the probability that exactly 16 of them enroll in college?

b) What is the probability that more than 13 enroll in college?

(c) What is the probability that fewer than 10 enroll in college?

(d) Would it be unusual if more than 23 of them enroll in college? If so, why?

The spread of a highly contagious virus in a high school can be described by the logistic function

g(x)=43/1+6.40e^−0.36x

where x is the number of days after the virus is identified in the school and​ g(x) is the total number of people who are infected by the virus.

​(a) How many students had the virus when it was first​ discovered?

​(b) Graph the function for

0≤x≤50.

​(c) Determine when the virus will infect

24 students.

​(d) According to this​ model, will the virus infection level off at any point in the​ future?

Please be specific in outlining or talking about the four perspectives. I submitted this question couple days ago, Someone answered the question and my professor mark it incorrect. They didn't include any of the perspective. He needs me to include the perspectives in my answer. These are the Examples of the perspectives. Learn and Growth, Process, Customers, and Financial perspectives. I will appreciate if someone help me out.

Outline a Balanced Scorecard for your business school. How would using Balanced Scorecard system affect the management of the school?

The meridian construction company based in College Station, TX. is currently working on the Wellborn Middle School Renovation Project. The company uses the Percentage of Completion (POC) method as the company’s accounting method. The president wants to get help from you to determine how much has been overbilled or underbilled on this project. Use the following information.

Project name: Wellborn Middle School Renovation

Contract Amount: $560,000

Total estimated cost at completion: $ 475,000

Actual costs to date: $321,000

Total billed to date: $350,000

3. Business schools A and B reported the following summary of GMAT (Graduate Management Aptitude Test) mathematics scores. Test the claim that there is a difference in means between two schools A and B. (a) At α = 1%, use the Classical approach to conclude it. (b) Using the P-value approach to conclude it. Business school A : n=50, X bar=37, S2=100 Business school B : n=40, X bar= 33, S2 = 80

Full step by step solution please, thank you

Data collected over a long period of time showed that 1 in 1000 high school students like mathematics. A random sample of 30,000 high school students was surveyed. Let X be the number of students in the sample who like mathematics

a) What is the probability distribution of X?

b) What distribution can be used to approximate the distribution of X? Explain.

c) Find the approximate probability of observing a value of X equal to 40 or more?

d) Find the approximate probability of observing a value of X between 35 and 40 inclusive ?

Data collected over a long period of time showed that 1 in 1000 high school students like mathematics. A random sample of 30,000 high school students was surveyed. Let X be the number of students in the sample who like mathematics

a) What is the probability distribution of X?

b) What distribution can be used to approximate the distribution of X? Explain.

c) Find the approximate probability of observing a value of X equal to 40 or more?

d) Find the approximate probability of observing a value of X between 35 and 40 inclusive ?

In a survey of 650 community college students, 423 indicated that they have read a book for personal enjoyment during the school year. Construct a 90% confidence interval for the proportion of community college students who have read a book for personal enjoyment during the school year. Use 4 non-zero decimal places in your calculations.

a.Verify the normality condition and the independence condition

b.Find the Z-alpha/2

c.Find the margin of error (ME)

d. Find the upper/lower bound and Interpret the confidence interval

After studying Barriers to Reasoning Rationally (chapter 9) regarding mental sets in your textbook….

Write a reflective paper in which you identify how you handled or adjusted to mental sets in your personal life.  

As one example, (which should not be used) students could consider the problem of making the adjustment from high school to college.  How might a mental set (i.e., the tendency to approach or respond to a problem in a particular way) learned in high school interfere with the successful solution of problems later on in college.