Questions
II-(7 pts) A city wants to know if a new advertising campaign to make citizens aware...

II-(7 pts) A city wants to know if a new advertising campaign to make citizens aware of the dangers of

driving after drinking has been effective. They count the number of drivers who have been stopped with

more alcohol in their systems than the law allows for each day of the week in the week before and the

week a month after the campaign starts. Let ?? be the difference between the number of drivers caught

with excessive alcohol in their systems before and after the campaign on each calendar day in any given

week. Treat these as a random sample from a Normal (?, ??) distribution.

Information collected randomly during the seven days of a week before and a week a month after the

campaign, indicate a mean difference ?̅ = −2 , and a standard deviation ? = 3.162.

a. Obtain a 95% confidence interval for the true average difference in number of drivers stopped with

excess alcohol in their systems. (1pt)

b. You are asked by the city administration to study whether the advertising campaign has been

effective. State in terms of , the relevant null and alternative hypothesis in conducting this study. (1pt)

c. Compute the t statistic for testing ?? against ?? (1pt)

d. Obtain the p- value for the test (1pt)

e. Do you reject ?? at the 5% level? At the 1% level? (1pt)

f. Provide a short summary of your conclusions from this study. Comment on the practical versus

statistical significance of this estimate. (2pts)

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In: Economics

A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly...

A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed golf clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim? Let d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs) d = (golf score after using the newly designed golf clubs) − (golf score before using the newly designed golf clubs) . Use a significance level of α=0.05 α = 0.05 for the test. Assume that the scores are normally distributed for the population of golfers both before and after using the newly designed clubs. Golfer 1 2 3 4 5 6 7 8 Score (old design) 76 76 91 91 76 76 77 77 83 83 94 94 88 88 83 83 Score (new design) 72 72 92 92 75 75 72 72 89 89 88 88 82 82 78 78 Copy Data Step 3 of 5 : Compute the value of the test statistic? Round your answer to three decimal places.

What is the P-value? Reject or Fail?

In: Statistics and Probability

A fitness course claims that it can improve an individual's physical ability. To test the effect...

A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course) . Use a significance level of α=0.01 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course.

Sit-ups before 20 38 24 26 38 55 23 42 44 44
Sit-ups After 36 43 26 37 50 58 38 51 59 49

Step 1 of 5 : State the null and alternative hypotheses for the test.

Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Step 5 of 5: Make the decision for the hypothesis test.

In: Statistics and Probability

A fitness course claims that it can improve an individual's physical ability. To test the effect...

A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement?  

Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.1 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course.

Sit-ups before 28 48 25 41 23 25 45 21 37 29

Sit-ups after 40 54 43 55 34 42 52 30 49 43

Step 1 of 5 : State the null and alternative hypotheses for the test.

Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Find the p-value for the hypothesis test. Round your answer to four decimal places.

Step 5 of 5: Draw a conclusion for the hypothesis test.

In: Math

A device can be purchased now for $20,000 and depreciated by 5-year SL depreciation and zero...

A device can be purchased now for $20,000 and depreciated by 5-year SL depreciation and zero salvage value. The net benefit from the device, before deducting depreciation, is $9,000 per year. After 2 years, the device will not be needed and can be sold. During the 2-year period, inflation rate is 6%/yr.  The company has a 50% combined federal and state tax rate. If it requires a real 10% after-tax rate of return, what should be the selling price of the device after 2-year usage?

In: Economics

A car of mass 1000kg is traveling in a northward (+y) direction with a constant speed...

A car of mass 1000kg is traveling in a northward (+y) direction with a constant speed of 10m/s. It then hits a stationary truck. The truck is twice as heavy as the car. After the collision, the car travels in a direction 30 degrees East of North and the truck travels 60 degrees West of North.

a) What are the final speeds of the car and the truck after collision?

b) Calculate the change in kinetic energy of the system before and after collision.

c) Based on your answer in part (b), what type of collision do you think this is?

In: Physics

Valiant Corp. is a C corporation that earned $3.4 per share before it paid any taxes....

Valiant Corp. is a C corporation that earned $3.4 per share before it paid any taxes. Valiant Corp. retained $1 of after-tax earnings for reinvestment and distributed what remained in dividend payments. If the corporate tax rate was 35% and dividend earnings were taxed at 12.5%, what was the value of the dividend earnings received after-tax by a holder of 100,000 shares of Valiant Corp.? (hint: from $3.4 per share, subtract tax payment (35%) to have after-tax earnings, then subtract $1 (retained earnings), then......

In: Finance

Suppose you invested $50,000 in a startup with a 10% convertible note. After one year, the startup receives a $500,000 investment from a different

Suppose you invested $50,000 in a startup with a 10% convertible note. After one year, the startup receives a $500,000 investment from a different investor (at a $2million postmoney valuation). Which of the following statements is true?

A. After conversion, you will own approximately 2.75 percent of the company

B. After conversion, you will have 50,000 shares of the company and $5,000 in cash

C. Before conversion, you own approximately 2.5 percent of the company

D. All of the above are true

E. None of the above are true

In: Accounting

Write multiple if statements: If carYear is before 1968, print "Probably has few safety features." (without...

Write multiple if statements: If carYear is before 1968, print "Probably has few safety features." (without quotes). If after 1971, print "Probably has head rests.". If after 1991, print "Probably has anti-lock brakes.". If after 2002, print "Probably has airbags.". End each phrase with period and newline. Ex: carYear = 1995 prints:

Probably has head rests.
Probably has anti-lock brakes.          

I want the answers in C++ not in java script data type

In: Computer Science

Donald Inc. has $2 million in assets, no debt, and no cash. It is listed with...

Donald Inc. has $2 million in assets, no debt, and no cash. It is listed with 100,000 shares outstanding. Assume there is no tax.

The company decides to take out a loan of $1 million at an interest rate of 10% in order to buy back shares.

  1. How many shares can it buy back? How many shares are left after the buy-back?

  2. If WACC was 15% before the buy-back, what is Darrian’s WACC after the buy-back? Why?

  3. What is the required rate of return by equity holders after the buy-back? Why?

In: Finance