1)

TRUE or FALSE. Small volumes of air resonate to a higher frequency.

TRUE or FALSE. Large volumes of air resonate to a higher frequency.

TRUE or FALSE. Resonance initiates the vibration.

2A. What is the natural frequency of a female who’s vocal tract is 15cm long, closed at one end and opened at the other.

B. What is the second harmonic in question A:

c. Would the frequency change if both ends were closed with a vocal tract of 15cm? if so what would it be: (1) 11.46 (2) 573.3 (3) 1146.6 (4) 5.73 The pitch of a 4.5kHz tone= 2259 mels, which is 4500 Hz. (2 points)

3) Refer to the 50 phon line, and rank the following frequencies: 100Hz, 2000Hz, 7000Hz, and 10,000Hz beginning with the most sensitive frequency (least amount of intensity) to the least sensitive (most amount of intensity). (2 points)

100Hz___________dB

2000Hz___________dB

7000Hz__________dB

40Hz_________dB

a. all Hypothesis Tests must include all four steps, clearly labeled;

b. all Confidence Intervals must include all output as well as the CI itself

c. include which calculator function you used for each problem.

2. An experiment was done to see whether open-book tests make a difference. A calculus class of 48 students agreed to be randomly assigned by the draw of cards to take a quiz either by open-notes or closed-notes. The quiz consisted of 30 integration problems of varying difficulty. Students were to do as many as possible in 30 minutes. The 24 students taking the exam closed-notes got an average of 15 problems correct with a standard deviation of 2.5. The open-notes crowd got an average of 12.5 correct with a standard deviation of 3.5. Assume that the populations are approximately normal. At the 5% significance level, does this data suggest that differences exist in the mean scores between the two methods?

A sample of 15 patients suffering from asthma participated in an experiment to study the effect of a new treatment on pulmonary function. Among the various measurements recorded were those are forced expiratory volume (liters) in 1 second (FEV1) before and after application of the treatment. Suppose the researcher would like to test if the treatment is effective in increasing the FEV1. Please clearly state the hypotheses, carry out the test and state your conclusion for the tests listed below.

Subject Before After

(1) 1.69, 1.69

(2) 2.77, 2.22

(3) 1, 3.07

(4) 1.66, 3.35

(5) 3, 3

(6) .85, 2.74

(7) 1.42, 3.61

(8) 2.82, 5.14

(9) 2.58, 2.44

(10) 1.84, 4.17

(11) 1.89, 2.42

(12) 1.91, 2.94

(13) 1.75, 3.04

(14) 2.46, 4.62

(15) 2.35, 4.42

(a) Use the matched pairs t-test to test the hypothesis.

(b) Use the sign test to test the hypothesis.

(c) Use the Wilcoxon signed rank test to test the hypothesis.

(d) Please explain which test is the most powerful non-parametric test

The table below shows the number of hours per day 11 patients suffered from headaches before and after 7 weeks of soft tissue therapy. At alphaαequals= 0.01,is there enough evidence to conclude that soft tissue therapy helps to reduce the length of time patients suffer from headaches? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (f).

A. State Ho and Ha

B.Find the critical value(s) and identify the rejection region(s).

Identify the rejection region(s)

C. (c) Calculated overbard.

Calculate s Subscript dsd.

D. (d) Use the t-test to find the standardized test statistic t.

(e) Decide whether to reject or fail to reject the null hypothesis.

(f) Interpret the decision in the context of the original claim. .

The following information is for all three questions. Suppose the country of Coventry is joining a customs union (CU). It can buy Product S from the country of Plata or the country of Soyuz. Plata is not in the CU, while Soyuz is in the CU. Before joining the CU, Coventry has a tariff on all imports of Product S. After joining the CU, Coventry does not have a tariff on the Product S imported from other countries in the CU, but maintains its tariff on the Product S imported from countries outside the CU. The tariff, when applicable, is $7. (Use the Basic Tariff Model in this analysis and assume no foreign retaliation on this product.)

2. The price of Product S from Plata is $62 and the price of Product S from Soyuz is $73. Suppose Coventry changes from not being in the CU to being in the CU.

(a) Who is Coventry’s supplier of Product S before joining the CU? After joining the CU?

(b) Is there a trade creation effect in this case?

(c) Is there a trade diversion effect in this case? Why?

(d) What happens to the Coventry Total Surplus for Product S because it joined the CU? Why?

For each exercise, answer the following along with any additional questions. Assume group variances are equal (unless the problem is ran via statistical software). |  Provide the null and alternative hypotheses in formal and plain language for appropriate two-tailed test (viz., dependent or independent) at the 0.05 significance level  Do the math and reject/accept null at a=.05. State your critical t value.  Explain the results in plain language.  Calculate the 95% confidence interval for the difference in means and state both formally and in plain language if appropriate.|

1. The State of Florida severely cut funding for the TRUTH campaign (advertising which is aimed at teenagers to reduce smoking). Advocates claim that TRUTH reduces teen smoking. To demonstrate this, they provide two separate samples of the state’s high school students reporting their number of cigarettes smoked per day two years before (nine students) and two years after the start of TRUTH (eight students). (C11PROB1.SAV) Before TRUTH: 5, 5, 8, 0, 0, 10, 0, 4, 10 After TRUTH: 6, 0, 6, 7, 0, 0, 2, 5

Beats wants to build a new factory to produce its headphones. It will cost $230 million initially to build the factory over the course of 12 months, which will be worthless after 10 years. The factory will be depreciated linearly to $0 over 10 years. Beats already owns the land on which the factory will be built. The land is currently worth $10 million and was purchased for $2 million eight years ago. After completion of the factory at the end of year 1, Beats expects earnings before interest and taxes (EBIT) of $34 million each year for 10 years. The company also has to add inventory (components) worth $13 million just before operation starts at the end of the first year. Beat's marginal tax rate is 21% and its cost of capital is 6%.

What is the free cash flow in year 0 (in $ million)?

What is the free cash flow in year 1 (in $ million)?

What is the annual depreciation in year 2 (in $ million)?

What is the free cash flow in year 2 (in $ million)?

What is the free cash flow in year 11 (in $ million)?

What is the NPV of this project (in $ million)?

E4-23  

Prepare closing entries.

The adjusted trial balance for Ryan Company is given below.

Instructions

Prepare the closing entries for the temporary accounts at August 31.

The trial balances shown below are before and after adjustment for Ryan Company at the end of its fiscal year.

A completely inelastic collision occurs between two balls of putty that move directly toward each other along a vertical axis. Just before the collision, one ball of mass m1 is moving upward at speed v1 and the other ball of mass m2 is moving downward at speed v2. In the following, if there is gravity it has acceleration g.

(a) Suppose the collision happens very fast. What is the velocity of the putty immediately after the collision?

(b) Suppose the collision happens slowly, taking time ∆t. Now what is the velocity of the putty immediately after the collision.

(c) When the problem says that the collision happens fast or slow, how can we determine what fast or slow means? Is there a condition we know about before solving the problem that can we can use to test whether the collision qualifies as “fast”?

(d) A cylindrical asteroid of mass m0 and radius r is in space (no gravity) traveling through a dust cloud with initial velocity v0. It is traveling along the direction of its symmetry axis, so that dust sticks to the ‘front’ (round surface) of the asteroid. What is the velocity of the asteroid as a function of its total mass?

1.

Dana intends to invest $62,000 in either a Treasury bond or a corporate bond. The Treasury bond yields 5 percent before tax and the corporate bond yields 6 percent before tax.

a-1. Assuming Dana’s federal marginal rate is 24 percent and her marginal state rate is 5 percent, which of the two options should she choose? Assume that Dana itemizes deductions.

Corporate bond

Treasury bond

a-2. How much interest after-tax would Dana earn by investing in the corporate bond?  (Do not round intermediate calculations and round your final answer to the nearest whole dollar amount.)

b-1. If she were to move to another state where her marginal state rate would be 10 percent, which of the two options should she choose? Assume that Dana itemizes deductions.

Corporate bond

Treasury bond

b-2. How much interest after-tax would Dana earn by investing in the corporate bond as per requirement b-1? (Do not round intermediate calculations and round your final answer to the nearest whole dollar amount.)