Groups of dolphins were observed off the coast of Iceland near Keflavik in 1998. The data in the file dolphin_dat on the course website give the time of the day and the main activity of the group, whether travelling quickly, feeding, or socializing. The dolphin groups varied in size. Usually feeding or socializing groups were larger than travelling groups. (Sec. 8.2)

Source of data: Marianne Rasmussen, Department of Biology, University of Southern Denmark, Odense, Denmark.

Activity        Period  Groups
Travel  Morning  6
Feed    Morning 28
Social  Morning 38
Travel  Noon     6
Feed    Noon     4
Social  Noon     5
Travel  Afternoon       14
Feed    Afternoon        0
Social  Afternoon        9
Travel  Evening 13
Feed    Evening 56
Social  Evening 10

Refer to Exercise 1 above.

1. By hand, draw a bar graph depicting the sample proportion of dolphins feeding for the morning and evening periods. Add a whisker to the top of each bar to denote the standard error of the sample proportion.
2. Examine the bar graph you produced for part (a). Briefly comment on whether there appears to be a difference proportion.
3. Conduct the appropriate hypothesis test for a two-by-two contingency table and report the P-values for Fisher’s exact test and the asymptotic chi-square distribution approximation for this test. Compare these results with your answer to part (b) in Exercise 1.

9. A flowering plant species grows on the mainland near the coast. One summer, a tropical storm
blows seeds from this population several hundred miles out to sea. Some of the seeds land on an
island, where they form a new population. Describe two ways that speciation could occur in this
situation. Include the concepts of genetic drift, gene pool, reproductive isolation, and selection in your
description.

Ms. Smith, the owner and manager of the Clear Duplicating Service located near a major university, is contemplating keeping her shop open after 4PM and until midnight. In order to do so, she would have to hire additional workers. She estimates that the additional workers would generate the following total output (where each unit of output refers to 100 pages duplicated). If the price of each unnit of output is $10 and each worker hired must be paid $40 per day, how many workers should Ms. Smith hire?

Wokers hired 0   1     2   3    4    5   6

Total Product 0 12 22 30 36 40 42

Find the marginal revenue product of labor for the data in the problem above from the change in total revenue resulting from the employment of each additional unit of labor, and show that the number of workers that Ms. Smith should hire is the same as that obtained in the problem above.

You live near a Mac Donnel’s and want to estimate the proportion, p, of your neighbors who go there on a typical day.

a. How many people in your neighborhood should you include in your random sampling to be 94% sure that you are within 1% of the population proportion? ___________.

b. If 23 out of 45 of Crista’s neighbors visit Mac Donnel’s every day, how many people should be included in your random sampling to be 86% sure that you are within 2% of the population proportion? _________

True/False: There are usually less mutations near the transcription start site of the variable region for an antibody.

Which of the following is most analogous (or most closely matches) to the germinal center in the secondary lymphoid tissue?

a. the cortex of the thymus

b. the spongy tissue of the bone

c. the medulla of the thymus

d. the plasma of the bone marrow

Which of the following is not part of the T-cell receptor complex?

a. alpha chain

b. CD3 complex

c. beta chain

d. IgA

find the following critical t-scores

Near the beginning of the semester, you administered a survey to 10 students. Suppose we wanted to use your sample to calculate the mean age of college students. What are the critical t-scores for the mean age using your sample?

80% CI: t =

90% CI: t =

99% CI: t =

The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne. The restaurant just completed its third year of operation. During that time, Karen sought to establish a reputation for the restaurant as a high-quality dining establishment that specializes in fresh seafood. Through the efforts of Karen and her staff, her restaurant has become one of the best and fastest-growing restaurants on the island. To better plan for future growth of the restaurant, Karen needs to develop a system that will enable her to forecast food and beverage sales by month for up to one year in advance. Table below shows the value of food and beverage sales ($1,000s) for the first three years of operation:

Perform an analysis of the sales data for the Vintage Restaurant. Prepare a report for Karen that summarizes your findings, forecasts, and recommendations. Include the following:

1.A time series plot. Comment on the underlying pattern in the time series.

2.Using the dummy variable approach, forecast sales for January through December of the fourth year.

Assume that January sales for the fourth year turn out to be $295,000. What was your forecast error? If this error is large, Karen may be puzzled about the difference between your forecast and the actual sales value. What can you do to resolve her uncertainty in the forecasting procedure?

Hint: Run the first regression model with only the monthly dummy variables against Sales and the second regression model with Month number and monthly dummy variables against Sales. Compare the two models and select the best model for your forecast.

PLEASE SHOW YOUR CALCULATION AND FORMULAS!!!

At a playground you let your kid sister (30 kg) kneel on the surface (near the edge) of a 2 meter diameter merry-go-round, of mass 300 kg. You push the merry-go-round along the edge, so that it constantly accelerates from rest to a final speed of 1.5 rotations per second at the end of a 20 sec interval. Friction is negligible. b) How much force did you apply in the direction tangent to the circumference of the merry-go-round, at the point of contact (in Newtons), during the 20 sec time interval? c) After it comes up to speed, you stop pushing and the merry-go-round continues to run at a constant rate of 1.5 rotations per second (remember that we are neglecting friction). What is the magnitude and direction of your sister’s acceleration, if any? d) Your kid sister now walks across the center of the merry-go-round, to a point a distance 0.5 meters from the center “on the other side”. What is the new angular velocity of the merry-go-round (in rad/sec) when she is 0.5 meters from the center “on the other side”? e) For a rigid body undergoing rotation, write down a symbolic expression for its rotational kinetic energy, in terms of the magnitude of its angular momentum L, and its moment of inertia I about the rotation axis. f) What is the total change in the kinetic energy of the merry-go-round, including your sister, as a result of her walk (in Joules)? g) In the part of her walk from the center to the other side: (i) is the change in kinetic energy of the merry-go-round (including your sister) positive or negative? Explain. (ii) is the change in your sister’s kinetic energy positive or negative? Explain.

Brookdale Hospital hired an inexperienced controller early in 20X4. Near the end of 20X4, the board of directors decided to conduct a major fund-raising campaign. They wished to have the December 31, 20X4, statement of financial position for Brookdale fully conform with current generally accepted principles for hospitals. The trial balance prepared by the controller at December 31, 20X4, follows:

Your analysis of the contribution’s receivable as of December 31, 20X4, determined that there were unrecognized contributions for the following:

Unrestricted use$40,300 Cancer research 10,800 Purchase of equipment 20,500 Permanently restricted endowment principal 32,000 Total$103,600

2. Short-term investments at year-end consist of $151,600 of funds without donor restrictions and $50,000 of funds restricted for future cancer research. All of the long-term investments are held in the permanently restricted endowment fund.
3. Land is carried at its current market value of $121,600. The original owner purchased the land for $70,500, and at the time of donation to the hospital, it had an appraised value of $97,000.
4. Buildings purchased 11 years ago for $610,500 had an estimated useful life of 30 years. Equipment costing $152,400 was purchased 7 years ago and had an expected life of 10 years. The controller had improperly increased the reported values of the buildings and equipment to their current fair value of $935,700 and had incorrectly computed the accumulated depreciation.
5. The board of directors voted on December 29, 20X4, to designate $101,700 of funds without donor restrictions invested in short-term investments for developing a drug rehabilitation center.

Answer is not complete.