For the following below you should decide

a) What test would you use?

b) Why would you use this test?

1. You want to know if major in university and tolerance of ambiguity are related. You choose 60 people (20 science majors, 20 humanities majors and 20 phys ed majors) and give them a test which measures their tolerance for ambiguity. You them separate them into low, moderate and high tolerance groups.

2. You wonder if the amount of time it takes a person to learn a new language is related to their age. You ask an instructor at an ESL (English as a second language) school to record the age of 40 new students and how long it took for them to become functionally literate.

3. You work for a manufacturer of fake finger nails. Your boss is interested in knowing if a new procedure can reduce the costs of making these nails. You randomly select the operating costs for 10 days at your plant and compare them to the cost for 10 days randomly selected from another plant that has switched to the new system. The old system had an average daily cost of $5400 with a variance of 120. The new system had an average daily cost of $5210 with a variance of 730.

Give an original example of a construct or concept that can be operationalized in three different ways, in other words that can be measured by three different indicator variables corresponding to three levels of measurement of the data – nominal, ordinal or interval.

Example: the construct education

Variable that measures number of school years completed – interval

Variable that measures education as (i) less than high school diploma (ii) high school diploma (iii) some college (iv) bachelors degree (v) post-graduate – ordinal

Variable that measures whether the respondent has a college degree (yes/no question) – nominal

11. High School Standardized Test Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes (normally distributed). If a random sample of 30 high school seniors took an average of 33.5 minutes to complete this test with a standard deviation of 4 minutes, test the hypothesis, at the 0.05 level of significance, that u = 35 minutes against the alternative that u <35 minutes.

a. Parameter of Interest

b. Null and Alternative hypothesis

c. Test Statistic

d. Reject Ho if

e. Computations

f. Conclusions

The school has 600 students in years 1–6 with 100 students in each year.

1. Shannon got the names of all 600 students in the school and put them in a hat. Then she pulled out 60 names. What do you think of Shannon’s survey? Explain your answer.
2. Jake asked 10 children at an after-school meeting of the computer games club. What do you think of Jake’s survey? Explain your answer.
3. Adam asked all of the 100 children in year 1. What do you think of Adam’s survey? Explain your answer.

As a service driven entity AAGBS yearns to further improve the schools ranking to be at par with other leading postgraduate centers in the country and regionally. However to date the school is still struggling to step‐up enrollments. There seem to be a decline in the growth rate of enrollments at the school. Student’s complaints are on the rise too. Numerous internal and external factors could be contributors to this state at the school. As such you have been appointed to undertake a study to empirically ascertain the precise reasons for the school’s declining performance. As a start you are required to prepare a proposal for the applied study. Outline the following and MAKE ASSUMPTIONS where necessary:
a) Statement of problem

A-Compare each of the following Evaluation Approaches (10 methods)

and

B-Give an example for each method (10 methods) in evaluating school programs by the school leaders.

and

C- Finally which method out of the 10 do you prefer to use in evaluating school programs, and why?

1 Cost-Benefit ,2 Cost-Effectiveness,3 black box evaluation approach 4- objective-oriented approach 5- Goal-Free Evaluation 6- Success Case Method 7- Expertise oriented evaluation 8-Case study assessment/ evaluation 9-Empowerment Evaluation 10 - Prospective Evaluations.

The average math SAT score is 523 with a standard deviation of 115. A particular high school claims that its students have unusually high math SAT scores. A random sample of

60 students from this school was​ selected, and the mean math SAT score was 540. Is the high school justified in its​ claim? Explain.

(Yes.No) because the​ z-score () is (unusual,not unusual) since it (lies, does not lie)

within the range of a usual​ event, namely within (1 standard deviation,2 standard deviations, 3 standard deviations) of the mean of the sample means.

​(Round to two decimal places as​ needed.)

Archie has to go to school this morning for an important test, but he woke up late. He can either take the bus or take his unreliable car. If he takes the car, Archie knows from experience that he will make it to school without breaking down with probability 0.2. However, the bus to school runs late 65% of the time. Archie decides to choose between these options by tossing a coin. Suppose that Archie does, in fact, make it to the test on time. What is the probability that he took his car? Round your answer to two decimal places.

Atlantic Academy is a private school that offers education to children from Kindergarten to Grade 7. The school operates as a not-for-profit entity and oversight of the school is performed by the board of directors. The board reviews the operational and financial results monthly to ensure the school is meeting its budget responsibilities. Revenues for the school generally come from three sources: student tuition, government funding, and various fundraising programs seeking additional funds for specific purposes. Government funding is provided based on the number of students enrolled, and the funds are to be spent only on the provision of education services. A requirement of the government funding is that the school must submit annual audited financial statements.

Jones and Black, CPAs, are the auditors of Atlantic Academy. Their firm policy is to use the following percentages when determining materiality:

• 5% of normalized pre-tax profit
• 1% of total assets
• 2% of equity
• 2% of revenues or expenditures

Performance materiality is to be 65% of planning materiality.

Select financial data for Atlantic Academy are provided below:

Materiality:

Who are the Financial statement Users and what are their concerns?

Normalizing Items?                                                                            

Why?                                                                                                                          

The Financial statements report the following

Any qualitative considerations?

Performance Materiality

Calculation

You have just been appointed assistant principal of Prominence High School in Exclusiveville. The school consistently scores in the top 5% in the county. The principal indicates to you she feels the performance of the staff is lax, and she needs your assistance in addressing staff shortcomings. Particularly, staff is showing up late to faculty meetings, leaving school early, not turning in lesson plans, and not maximizing instructional time. She wants to hear your ideas on how you would address some of these concerns. She also wants your opinion of the other assistant principals at the school, since you are an outsider and have no previous experience to draw from. She asks you to take a month and critique them, then report your findings to her. She requests that you take four months to “change the culture” of the school. She will make sure you have whatever you need to be successful. She also asks you to start running the faculty meetings. A month later, at a meeting with the assistant principals and principal, the principal starts the meeting with, “I asked Ms. So and So to critique you for the past month and report out her findings. Well, Ms. So and So, what did you find?” How will you handle this situation? What plan will you put in place for the staff? What plan will you put in place for the assistant principals? What information will you give the principal after you critique the assistant principals? Take me step by step how you will handle your responsibilities at Prominence High School.