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 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 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 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. 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 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 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 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.
How many shares can it buy back? How many shares are left after the buy-back?
If WACC was 15% before the buy-back, what is Darrian’s WACC after the buy-back? Why?
What is the required rate of return by equity holders after the buy-back? Why?
In: Finance
The cue ball collides with the 8-ball on a pool table. Before the collision, the 8-ball was stationary, and the cue ball was moving east with a speed of 9 m/s . After the collision, the 8-ball moves at an angle of 45 ∘ south of east with a speed of 4 m/s . Right after the collision, what is the component of the cue ball's velocity that points east? You may assume the two balls have the same mass. Right after the collision, what is the component of the cue ball's velocity that points north?
In: Physics
In: Accounting