A) The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 57 ounces and a standard deviation of 8 ounces.

Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions.

68% of the widget weights lie between _____?____ and ______?______

  What percentage of the widget weights lie between 41 and 65 ounces?

What percentage of the widget weights lie above 33 ?

B) The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 39 ounces and a standard deviation of 5 ounces.

Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions.

95% of the widget weights lie between ___?____ and ___?____

What percentage of the widget weights lie between 34 and 49 ounces?

What percentage of the widget weights lie above 24 ?

Bond J has a coupon rate of 5.5 percent. Bond K has a coupon rate of 15.5 percent. Both bonds have eight years to maturity, a par value of $1,000, and a YTM of 12 percent, and both make semiannual payments.

a. If interest rates suddenly rise by 3 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

b. If interest rates suddenly fall by 3 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Bond J Bond K

a.) Percentage change in price _______% _______%

b.) Percentage change in price ________% ________%

Both Bond Sam and Bond Dave have 8 percent coupons, make semiannual payments, and are priced at par value. Bond Sam has 4 years to maturity, whereas Bond Dave has 12 years to maturity.

If interest rates suddenly rise by 4 percent, what is the percentage change in the price of Bond Sam? -12.42%, 12.78%, -12.40% ,-14.18%

If interest rates suddenly rise by 4 percent, what is the percentage change in the price of Bond Dave? -25.10%, -25.08% ,27.45% ,-33.51%

If rates were to suddenly fall by 4 percent instead, what would the percentage change in the price of Bond Sam be then? -12.37% , 12.78% , 14.63% , 14.65%

If rates were to suddenly fall by 4 percent instead, what would the percentage change in the price of Bond Dave be then? 37.81%, 37.83% , -25.05% , 27.45%

The following table shows the means of transportation to work for the U.S. in 1990 and 2000. The data values in the columns of “Percentage in 1990” and “Percentage in 2000” are the percentages of each travel mode in 1990 and in 2000 respectively using two independent and random samples. We want to do a hypothesis test and see whether the travel modes have been significantly changed from 1990 to 2000.

Table: The means of transportation to work for the US: 1990 and 2000. (Data source: US Census)

Use the most appropriate method to evaluate the hypothesis by hand. Include the step of hypothesis testing.

Prepare 5 pages (max. ) brief description about Multiphase flow pumps that work at high gas volume fraction or percentage ( high GVF).

The report should address the following important points:

1- Differences between multiphase flow pump (for gas and liquid mixture) and single phase flow pump (for liquid).

2-Difference between multiphase (gas-liquid) flow pump at high gas percentage (say 80% and above gas) and a compressor.

3-Differences in pump head, pump speed, design and stages should be addressed.

4-How can we modify a single phase flow pump (liquid only) to handle gas-liquid flow

5-How can we modify a gas-liquid flow pump to handle gas percentage rather than low percentage of gas

2. The following table reports the average prices of gasoline and apples, as well as the consumer price index for three years.

1. What was the percentage increase in the price of gasoline from 1995 to 2015? ______%
2. What was the percentage increase in the price of apples from 2005 to 2015? ______%
3. Did the relative price of gasoline rise or fall from 1995 to 2005? That is what was the percentage increase in gasoline prices higher or lower than the percentage increase in the CPI?

1. Lower

B     Higher

4. Did the relative price of gasoline rise or fall from 2005 to 2015?

1. Fall
2. Rise

5. Did the relative price of apples rise or fall from 1995 to 2005?

A. Fall

B Rise

6. Suppose that there are drastic technological improvements in shoe production in Home such that shoe factories can operate almost completely with computer-aided machines. Consider the following data for the Home country: Computers: Sales revenue = ?c?? = 100 Payments to labor = ??? = 50 Payments to capital = ??? = 50 Percentage increase in the price = ∆??⁄?? = 0% Shoes: Sales revenue = ???? = 100 Payments to labor = ??? = 20 Payments to capital = ??? = 80 Percentage increase in the price = ∆??⁄?? = 30% a. Which industry is capital-intensive? Is this a reasonable question, given that some industries are capital-intensive in some countries and labor-intensive in others? b. Given the percentage changes in output prices in the data provided, calculate the percentage change in the rental on capital. c. How does the magnitude of this change compare with that of labor? d. Which factor gains in real terms, and which factor loses? Are these results consistent with the Stolper–Samuelson theorem?