The national mean annual salary for a school administrator is $90,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average. Click on the datafile logo to reference the data. (a) Choose the hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000. H0: Ha: (b) The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p value for your hypothesis test in part (a)? If required, round your answer to four decimal places. Do not round your intermediate calculations. 0.0213

PLEASE PROVIDE MORE THAN 5 SENTENCES IN DETAIL FOR EACH QUESTION.

1. What is  Albert Einstein’s achievement? What problem did that solve or whose theory did it fix?

2. What was Albert Einstein’s ultimate dream and why couldn’t he accomplish it?

3 . What are the two scales at which quantum mechanics, and general relativity, respectively, are each working well? Why is general relativity failing at the scales of quantum mechanics?

4. What is the unification theory (aka the “theory of everything”) all about? What theory seems to be a good candidate to solve the problems of unification? What is the problem with that candidate theory?

5. What would be your approach at solving this problem of unification? (The most likely and most honest answers, “I don’t know” and “I don’t care”, are not acceptable. Think outside the box and give your boldest and craziest answer, if you seem out of decent ideas.)

1. The City of Blueville has implemented Red Light Camera Program for one year and the City Manager wants to evaluate the effectiveness of program. After reviewing the traffic accident reports in the past several decades years, Assistant City Manager found that there were average of 115 accidents each year, normally distributed with standard deviation of 25. There were 100 accidents during the first year.

1. Test the (alternative) hypothesis that the number of accidents was reduced significantly at 0.05 significance level. (10 points)

Calculate 95% confidence interval, and what will be your conclusion? Explain why you reach or do not reach the same conclusion as in question (a).

1. In order to attract customers, Lau's Books Co. is considering offering a lottery to anyone who visits the bookstore. The 2 lotteries under consideration are:

Lottery A) one with a cash prize of $300 and a 10% probability of winning

Lottery B) one with a cash prize of $400 and a 5% probability of winning.

Which lottery is more attractive to a risk-averse individual? Explain in detail with the aid of a diagram. Which lottery is more attractive to a risk-lover? Explain in detail with the aid of a diagram.

DISCUSSION:

1. The green areas in the leaf contains what pigment?

2. Why do you use hot water to extract the red pigments?

3. Why do you use alcohol to extract chlorophyll?

4. What is the purpose of iodine in this experiment?

5. Blue/purple areas in the leaf after iodine was added contained what molecule? ____________

6. Are the blue/purple areas found where the green sites used to be? ________________

7. What does this result imply regarding chlorophyll function in a plant leaf?

Mr Lee, an Information Technology senior executive from mainland China, was under an employment contract in Malaysia with MSC Sdn Bhd since 1 November 2014. Since then,his pattern of stay until he left Malaysia permanently on 31 December 2019 was as follows:

Period of stay                                                             Place of stay

01 November 2014 to 31 December 2015                  In Malaysia

01 January 2016 to 31 August 2016                           In New Zealand, staying with his uncle

01 September 2016 to 19 September 2016                 In HK visiting mother who was seriously ill

20 September 2016 to 03 February 2017                   In Malaysia

04 February 2017 to 31 August 2017                         In France to undertake a company project

01 September 2017 to 17 November 2018                 In Malaysia

18 November 2018 to 30 November 2018                 In China (13 days) for a vacation

01 December 2018 to 31 December 2019                  In Malaysia

Required:

(a)     Determine the residence status of Mr Lee for Years of Assessments 2014 to 2019 under the Income Tax Act (ITA) 1967.

(Your answer should state the relevant legislation under the ITA 1967)

P/S: EXAMPLE ANSWER (a) WILL BE LIKE THIS .

(b)     Distinguish the requirements between Sections 7(1)(b) and 7(1B) of the ITA 1967.

Use application of Social Psychology on a problem or issue.
Whatever the issue/problem identified, please be clear and concrete defining it.  For example, “climate change” is not a very good topic. Instead, “recycling behaviors on campus” or “political support for sustainable energy production” would be better. State the problem and explain why it is a problem in 1-2 sentences. The problem itself is not the main focus of the paper, however. Rather, it should be a paper about how Social Psychology can (a) help one understand a cause of problem, and (b) suggest a solution to the problem.

Please write about how Social Psychology can (a) help one understand a cause of problem, and (b) suggest a solution to the problem. Focus on applying a small number (1 or 2) of Social Psychological principles to the issue with a complex, thoughtful analysis. The solution proposed should follow directly from the cause described.

1. Under coverage is a problem that occurs in surveys when some groups in the population are underrepresented in the sampling frame used to select the sample.  We can check for under coverage by comparing the sample with known facts about the population.
   1. Suppose we take an SRS of n = 500 people from a population that is 25% Hispanic.  How many Hispanics are expected in a given sample? 125
   2. What is the standard deviation for the number of Hispanics in a sample? 9.682
   3. Can the normal approximation to the binomial be used to help make probabilistic statements about samples from this population? The normal approximation to the binomial can be used to help make probabilistic statements about samples about this population because npq (93.75) is greater than 5 which is what is needed in order to make probabilistic statements.
   4. Would a sample mean with 100 Hispanic people be different from the population mean?  Give the p-value and explain your reasoning.
   5. What is the confidence interval for the sample mean of 100?
   6. Does the confidence interval agree with your p-value, explain your reasoning.
   7. Would you suspect undercoverage in a sample with 100 Hispanics?  Explain your reasoning.

Use R.  Provide Solution and R Code within each problem.

For this section use the dataset “PlantGrowth”, available in base R (you do not need to download any packages).

a.Construct a 95% confidence interval for the true mean weight.

b.Interpret the confidence interval in 1. in the context of the problem.

c.Write down the null and alternative hypothesis to determine if the mean weight of the plants is less than 5.

d.Conduct a statistical test to determine if the mean weight of the plants is less than 5. Use α = 0.05.

i.Pvalue

ii.Conclusion