An environmentalist collects a liter of water from 41 different locations along the banks of stream. He measures the amount of dissolved oxygen in each specimen. The sample mean oxygen level is 4.62 mg, with the sample standard deviation of 0.92. A water purifying company claims that the mean level of oxygen in the water is 5 mg. A hypothesis test with α = 1% is conducted to determine whether the mean oxygen level is less than 5 mg. 23. State the null and alternate hypotheses. 24. What is the level of significance? 25. What is the test statistic? Between what two values does the test statistic fall in between? 26. Between what two percentages do the P-value fall in between? 27. State your conclusion based on the P-value. For questions 28 to 32 , consider the following: The NCHS reported that the mean total cholesterol level for all adults was μ = 203 with σ = 36.3. From a random sample of n =300 patients, the sample mean was x̄ =200.3. Is there statistical evidence of a difference in mean cholesterol levels at α = 1%? 28. State the null and alternate hypotheses. 29. What is the level of significance? 30. What is the test statistic? 31. What is the P-value? 32. State your conclusion based on the P-value.

1. The equation 8?2 − 3?? = 0 has three roots. Find:

(i) The first root, which is between -1 and 0, by the bisection method;

(ii) The second root, which is between 1 and 2, by Newton’s method;

(iii) The third root, which is between 3 and 4, by both the bisection method and Newton’s method.

All the answers should be correct to 2 decimal places.

You walk into the offices of Global Private Bank early in the morning on February 2nd, 2006. You are employed by the bank to market proprietary financial products to moderate to high net worth customers. Going into the break room to grab a cup of coffee, you flip on the TV to CNBC to catch the morning financial news. The commentator says “… and the latest release shows that consumer confidence has fallen for the second straight month. Given this, and the previous statistics on business inventories, it is not surprising that investors are nervous. So, now, all eyes turn to the Fed”. You switch the TV off. It looks like the economy is going to be the topic of discussion for the next week. More importantly, the people you work with will expect you to know what is happening (and maybe explain it to them). It is going to be a busy day. Global Private Bank is a mid-tier regional bank, focused primarily on consumer and small business lending. Historically the bank has funded its loans through traditional bank deposits. However, given the rapid development in convenience of mutual funds and online investing, the bank has shifted its focus to offering a larger range of financial products and advice to its high-end customers. This included offering its own mutual funds, annuity and insurance products from other companies, and financial planning courses. Global Private Bank has a large staff dedicated to customer relations. Jobs range from handling accounts to marketing consumers’ products to providing financial advice. Your job is to work with this staff to determine what the best products are and how best to market them. You interact daily with people from all over the bank, including some of the bank’s major customers (since they are a good source of information on how the company is doing). A large part of the bank’s customer base is retired individuals who have had long-term relationships with the bank. These individuals have a range of financial expertise, some being dedicated followers of the financial news, while others have never heard of the Federal Reserve. The bank’s customers get their income from a variety of sources. Most have traditional bank accounts. Some, particularly the middle age customers, have substantial holdings of stock. Retired investors also typically have some sort of pension or retirement plan. The bank’s customers can be very concerned about changes in the economy. Those holding stock are worried about corporate profitability; the more profitable the company, the higher the value of the stock. Some of those with pensions have other concerns. Often, the value of their pensions does not keep up with inflation. These investors tend to watch for signs of future inflation that could mean they would have a lower real income in the years ahead. The growth of GDP seems to be slowing, leading many investors to be concerned about the future prospects for the economy. One indicator of the weakness of the economy is the decline in consumer confidence, a measure of how optimistic consumers are about the strength of the economy in the near future. If this decline continues, it could lead to a decrease in consumer spending. Also, firms have spent the last two years dramatically expanding their capacity by buying new machinery and building new factories. Because of this, it is expected that companies are likely to rein in spending on investment over the next year. The Economic Research Group of Global Private Bank has provided historical data on GDP along with forecasted values for the upcoming year (see the spreadsheet on the course website). The forecasts are based on the information given above, but the forecasts also assume that the Federal Reserve will not take action. The Federal Open Market Committee (FOMC) of the Federal Reserve will be meeting in two weeks to make a decision on monetary policy. The leading issue at that meeting will be the weakness in the economy. Many of the members of the FOMC believe that the Federal Reserve should take immediate action to counter the forecasted decline in the economy.

Question: If the Federal Reserve decides to act, how will that affect investors that deal with Global Private Bank? Limit your answer to issues discussed in the case.

If the price of the item is $10.00 per unit and the employees cost $100 each, how many employees should the firm hire to maximize their profit?

• Two employees

• Three employees

• Four employees

• One employee

The Excel file Store and Regional Sales Database provides sales data for computers and peripherals showing the store identification number, sales region, item number, item description, unit price, units sold, and month when the sales were made during the fourth quarter of last year.3 Modify the spreadsheet to calculate the total sales revenue for each of the eight stores as well as each of the three sales regions.

Required:

The following data pertain to three divisions of Nevada Aggregates, Inc. The company’s required rate of return on invested capital is 8 percent. (Round "Capital turnover" answers to 2 decimal place.)

In order to start this coffee business, the Manager took a 300K loan from the bank. He/she will have to pay 10K monthly for three years.

a-Calculate the effective interest rate (per year).

b-If the coffee business makes a Revenue=19K/month and has an operational cost of 12K/Month, Calculate the PW if the study period is 5 years and the MARR is equal to 1.5% per month. Solve by Hand Please

Required:

The following data pertain to three divisions of Nevada Aggregates, Inc. The company’s required rate of return on invested capital is 12 percent. (Round "Capital turnover" answers to 2 decimal place.)

A deuteron (the nucleus of an isotope of hydrogen) has a mass of 3.34×10⁻²⁷ kg and a charge of 1.60×10⁻¹⁹ C . The deuteron travels in a circular path with a radius of 7.30 mm in a magnetic field with a magnitude of 2.10 T .

A) Find the speed of the deuteron

B)Find the time required for it to make 12 of a revolution.

C) Through what potential difference would the deuteron have to be accelerated to acquire this speed?

A.At a temperature of 27 ∘C, what is the speed of longitudinal waves in hydrogen (molar mass 2.02 g/mol)? The ratio of heat capacities for hydrogen is γ=1.41.

B.At a temperature of 27 ∘C, what is the speed of longitudinal waves in helium (molar mass 4.00 g/mol)? The ratio of heat capacities for helium isγ=1.67.

C.At a temperature of 27 ∘C, what is the speed of longitudinal waves in argon (molar mass 39.9 g/mol)? The ratio of heat capacities for argon isγ=1.67.

D.Compare your answer for part A with the speed in air at the same temperature. The ratio of heat capacities for air is γ=1.40.

E.Compare your answer for part B with the speed in air at the same temperature. The ratio of heat capacities for air is γ=1.40.

F.Compare your answer for part C with the speed in air at the same temperature. The ratio of heat capacities for air is γ=1.40.