A market research company employs a large number of typists to enter data into a computer database. The time taken for new typists to learn the computer system is known to have a Normal distribution with a mean of 130 minutes and a standard deviation of 20 minutes. A candidate is automatically hired if he or she learns the computer system in less than 100 minutes. A cut-off time is set at the slowest 40% of the learning distribution. Anyone slower than this cut-off time is not hired.

a) The proportion of new typists that take under two hours to learn the computer system is? (answer is 0.3085)

b)What proportion of candidates will be automatically hired? (answer is 0.0668)

c)What is the cut-off time the market research company uses? (answer is 2 hours 15 minutes)

d) You sample 30 typists, what is the sampling distribution of the mean time taken for the new typists to learn the computer system? (answer is  x¯ ∼ N(130, 3.65) )

e)What is the probability that the mean time taken for the sample of 30 typists to learn the computer system is less than 120 minutes? (answer is  0.0031)

(CAN YOU PLEASE SOLVE WITH PROPER EXPLAINATION AND MAKE SURE THE ANSWER IS THE SAME AS THE ONE GIVEN IN BRACKETS FOR ALL PARTS, THANK YOU)

Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were tested with additive 1 and nine cars were tested with additive 2. The following data show the miles per gallon obtained with the two additives.

Find the value of the test statistic and p-value.

please do step by step? I saw there was a similar problem but table 8 in Appendix B Tables isn't there so I wasn't able to finish the answer.

1. What is the Marginal Revenue at a quantity of 5?

2, What is the Marginal Cost at a quantity of 7?

3. Using the MR-MC rule, what is the profit maximizing quantity this firm should produce?

4. How much profit do they make at this quantity?

1. What is the Marginal Revenue at a quantity of 5?

2, What is the Marginal Cost at a quantity of 7?

3. Using the MR-MC rule, what is the profit maximizing quantity this firm should produce?

4. How much profit do they make at this quantity?

Midland Resources has two production departments (Fabrication and Assembly) and three service departments (Engineering, Administration, and Maintenance). During July, the following costs and service department usage ratios were recorded.

  
Required:

Allocate the service department costs to the two operating departments using the reciprocal method. (Do not round intermediate calculations.)

Python pls

Create a function dict_sum. This function takes a dictionary and sums up the values in the dictionary.

For example:

dict1 = {1: {'una': 5, 'dos': 7, 'tres': 9, 'quar' : 11}, 2: {'dos':2, 'quar':4}, 3:{'una': 3, 'tres': 5}, 4:{'cin': 6}, 5:{'tres': 7 , 'cin': 8}}

dict2 = {300:{'s': 300}, 400:{'s': 100, 'g': 100, 'p': 100}, 500: {'s': 50 ,'m': 400, 'p':30, 'i': 50}, 600: {'s': 40, 'i': 400}, 700: {'m': 100, 'p': 50}}

def dict_sum(db):

should give output

output1 = {'una':values(int), 'dos': :values(int), 'tres':values(int), 'quar': values(int), 'cin': values(int)}

output2 = {'s':values(int),'g':values(int), 'm': values(int), 'p': values(int), 'i': values(int)}

The following are values of independent samples from two different populations.

Test to a 5% level if the two samples are taken from a population with the same mean or if population 1 has a higher true mean.

a) assume population 1 has a known standard deviation of 10 and population 2 has a known standard deviation of 5

b) assume population 1 has a known standard deviation of 10 and population 2 has a known standard deviation of 20

Bill rides the subway at a cost of $.75 per trip but would switch if the price were any higher. His only alternative is a bus that takes five minutes longer, but costs only $.50. His only alternative is a bus that takes five minutes longer but costs only $.50. He makes 10 trips a year. The city is considering renovations of the subway system that will reduce the trip by 10 minutes, but fares would rise by $.40 per trip to cover the costs. The fare increase and reduced travel time both take effect in one year and last forever. The interest-rate is 25%.

a. As far as Bill is concerned, what are the present values of the project benefits and costs?

b. The city’s population consists of 55,000 middle-class people, all of whom are identical to Bill, and 5000 poor people. Poor people are either unemployed or have jobs close to their homes, so they do not use any form of public transportation. What are the total benefits and costs of the project for the city as a whole? What is the net present value of the project?

c. Some members of the city Council propose an alternative project that consists of an immediate tax of $1.25 per middle-class person to provide free legal services for the poor in both of the following two years. The legal services are valued by the poor at a total of $62,500 per year. (Assume this amount is received at the end of each of the two years.) What is the present value of the project?

d. If the city must choose between the subway project and the legal services project, which should select? What is the “distribution of weight” of each daughter received by a person that would make the present values of the two projects just equal? That is, how much must each dollar of income to report person be waited relative to that of the middle-class person? Interpret your answer.

Promoting international trade is not a zero-sum game. It is a win-win proposition; both parties gain from trade.

Consider the following:

• Tariffs are paid by the citizens of the country imposing tariffs, not by the citizens of the country producing the products upon which the tariffs are levied.
• The term “trade deficits” is a misnomer. Every country’s trade is always in balance.
• Trade deficits do not mean the US no longer produces anything to export. The US is the world’s second largest manufacturer and the world’s second largest exporter of manufactured goods.
• Trade deficits reflect a strong economy. Trade deficits rise during economic expansions and fall during economic contractions. Unemployment falls as trade deficits rise and rises as trade deficits fall.
• Imports and exports are complements, not competitors. Both are necessary and both contribute to economic growth.
• Roughly one-third of all US imports and exports is trade between US multinational companies and their overseas subsidiaries.
• Foreign-owned companies operating in the US number in the thousands and provide directly or indirectly jobs for more than 13 million US workers (roughly, 10% of the US workforce).
• US trade deficit in goods in 2018 (as a % of GDP) was the same as it was 5, 10 and 15 years earlier.
• The rise in US goods trade deficit with China has not increased the US total goods trade deficit. It has been offset by reduced goods imports from other trading partners.
• There is a strong correlation between the rise in world trade and:
• The rise in world GDP
• The dramatic fall in the world’s extreme poverty rate
• The rise in world life expectancy
• For every US manufacturing job lost to trade between 2000 and 2010, seven US jobs were lost to domestic productivity improvements. Those seven jobs cannot be brought back from overseas because they never left the US.

Write an evaluation of credible economists’ unbiased opinions on the benefits, costs, and results of current US trade and tariff policies. Complete the following in your evaluation:

• Evaluate how US trade policy changes in the last 2 years affect global trade activities by multinational corporations.
• Discuss credible economists’ opinions on the long-term effects of trade and tariff policies changes in the last 2 years.
• Explain the effect of recent changes to trade and tariff policies have had on your employer, you, or someone you know.