Please show all work, step by step:
a. The critical value
b. the error bound
c. The minimum and maximum numbers of the interval. On interpretations include information about the specific problem.

1.   As part of an environmental studies class project, students measured the circumference of a random sample of 45 blue spruce trees near Brainard Lake, Colorado. The sample mean circumference was x = 29.8 inches. Assume that o is known to be 7.2 inches.
a. Find a 90% confidence interval for the population mean circumference of all blue spruce trees near this lake.
b. Interpret the meaning of the confidence interval in the context of this problem.

2. James is self employed and sells cookware at home parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 receipts gave a mean of x = $34.70 with standard deviation s = $4.85.
a. Find a 99% confidence interval for the average amount spent by all clients.
b. Interpret the meaning of the confidence interval in the context of this problem.

3. How long does it take to commute from home to work? It depends on several factors, including routes, traffic and time of departure. The data below are results (in minutes) from a random sample of eight trips.
27. 38. 30. 42. 24. 37. 30. 39.
a. What are the sample mean x and the sample standard deviation s?

b. Use these data to create a 98% confidence interval for the population mean time of the commute.

A random sample of 19 rainbow trout caught at Brainard Lake x = 11.9 inches with sample standard deviation o= 2.8 inches.
Find a 95% confidence interval for the population mean length of all rainbow trout in this Lake.

b. Interpret the meaning of the confidence interval in the context of this problem.

5. A random sample of 78 students was interviewed, and 59 students said that they would vote for Stella Joh as student body president.

a. Let p represent the proportion of all students at this college who will vote for Stella. Find a point estimate p for p.
b. Find a 98% confidence interval for p.

6. A random sample of students was asked for the number of semester hours they are taking this semester. The standard deviation was found to be o = 4.7 semester hours.
a. How many students should be included in the sample to be 90% sure that the sample mean x is within 1 semester hour of the population mean u for all students at this college.?

What percentage of college students owns a cellular phone? Let p be the proportion of college students that own a cellular phone.
a. If no preliminary study is made to estimate p, how large a sample a sample is needed to be 95% sure that a point estimate p will be within a distance of 0.08 from p.

b. A preliminary study shows that approximately 38%of college students own cellular phones. How large a sample is needed to be 95% sure that a point estimate p will be within a distance of 0.08 from p.

The pH of a white vinegar solution is 2.11. This vinegar is an aqueous solution of acetic acid with a density of 1.09 g/mL. What is the mass percentage of acetic acid in the solution? Ka (acetic acid)= 1.8 X10-5

Mass percentage =___________ %

In 1898, the first Putting Green Championship was held. The winner’s prize money was $466. In 2002, the winner’s check was $1049361. What was the percentage increase per year in the winner’s check over this period? ( as a percentage and round to 2 decimal places)

Pureform, Inc., uses the weighted-average method in its process costing system. It manufactures a product that passes through two departments. Data for a recent month for the first department follow:

The beginning work in process inventory was 80% complete with respect to materials and 65% complete with respect to labor and overhead. The ending work in process inventory was 60% complete with respect to materials and 50% complete with respect to labor and overhead.

Required:

Assume that the company uses the FIFO method in its process costing system.

1. Compute the first department's equivalent units of production for materials, labor, and overhead for the month.

2. Compute the first department's cost per equivalent unit for materials, labor, overhead, and in total for the month. (Round your answers to 2 decimal places.)

.

Madison Park Co-op, a whole foods grocery and gift shop, has provided the following data to be used in its service department cost allocations:

Required:

Using the step-down method, allocate the costs of the service departments to the two operating departments. Allocate Administration first on the basis of employee-hours and then Janitorial on the basis of space occupied. (Please enter allocations from a department as negative and allocations to a department as positive. The line should add across to zero. Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)

Bond J has a coupon rate of 5 percent. Bond K has a coupon rate of 9 percent. Both bonds have 9 years to maturity, make semiannual payments, and have a YTM of 7 percent.

If interest rates suddenly rise by 4 percent, what is the percentage price change of Bond J? -23.65% -21.67% -22.67% -23.67%

If interest rates suddenly rise by 4 percent, what is the percentage price change of Bond K? 31.98% -21.57% -19.59% -21.59%

If interest rates suddenly fall by 4 percent, what is the percentage price change of Bond J? 33.25% -33.74% 33.23% -23.69%

If interest rates suddenly fall by 4 percent, what is the percentage price change of Bond K? -21.61% 29.89% -10.25% 29.77%

Currently Delta's market capitalization is (approximately) $21.1 billion and beta is 1.3. What does this mean?

• A. The total value of Delta's stock is valued at $21.1 billion and the stock price typically changes by (approximately) a smaller percentage as the S&P 500 index.
• B. The total value of Delta's stock is valued at $21.1 billion and the stock price typically changes by (approximately) a smaller percentage as the Dow Jones Industrial Average index.
• C. The total value of Delta Air is valued at $21.1 billion and the stock price typically changes by (approximately) a larger percentage as the S&P 500 index.
• D. The total value of Delta Air is valued at $21.1 billion and the stock price typically changes by (approximately) a larger percentage as the Dow Jones Industrial Average index.
• E. None of the above.

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:

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

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

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

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

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