Hi there, I have put up the full sheet but it is question two that I need answered the most. Thank you for your time.
Question 1.
Drunk driving is one of the main causes of car accidents. Interviews with drunk drivers who were involved in accidents and survived revealed that one of the main problems is that drivers do not realise that they are impaired, thinking “I only had 1-2 drinks … I am OK to drive.” A sample of 5 drivers was chosen, and their reaction times (seconds) in an obstacle course were measured before and after drinking two beers. The purpose of this study was to check whether drivers are impaired after drinking two beers. Below is the data gathered from this study:
Driver 1 2 3 4 5
Before 6.15 2.86 4.55 3.94 4.19
After 6.85 4.78 5.57 4.01 5.72
1. The two measurements are dependent. Explain why. [1 mark]
2. Provide an estimate of the mean difference in reaction times between the two measurements. [4 marks]
3. Calculate and interpret a 95% confidence interval for the mean difference in reaction times between the two measurements. [15 marks]
4. Use a 5% level of significance and the following points to test the claim that reaction times before drinking two bears is lower than reaction times after drinking two bears.
(a) State the null and alternative hypotheses in symbolic form and in context.
(b) Calculate the test statistic.
(c) Identify the rejection region(s).
(d) Clearly state your conclusions (in context). [4 marks each]
5. What would the conclusion be if using a 1% level of significance? Justify your answer. [4 marks]
Question 2
This is part 2, this is the part that I need answered. Thank you for your time.
It was believed from the experiment on the obstacle course, in Part I, that there is a relationship between a subject’s reaction time before drinking two beers and the subject’s age:
Driver 1 2 3 4 5
Age (years) 20 30 25 27 26
1. What type of study is being outlined here? Justify your answer. [2 marks]
2. Plot a graph representing the relationship between reaction times before drinking two beers and age. [5 marks]
3. From the graph in Q2, suggest a relationship that could exist between the two measurements. [2 marks]
4. Use a 1% level of significance and the following points to test the claim that there is a relationship between the reaction times before drinking two beers and age.
(a) State the null and alternative hypotheses in context. [3 marks]
(b) Calculate the test statistic. [8 marks]
(c) Identify the rejection region(s). [4 marks]
(d) Clearly state your conclusions (in context). [4 marks]
5. What percentage of variation in reaction times before drinking two beers is unexplained by the relationship between reaction times before drinking two beers and age? [2 marks]
6. Derive a model/equation that could be used to predict reaction times before drinking two beers for a person, if the age of the person is known. [8 marks]
7. Using the model derived in Q6, what would the predicted reaction time, in the obstacle course, before drinking two beers of a 22-year-old be? [2 marks
In: Math
Periodic Inventory by Three Methods; Cost of Merchandise Sold
The units of an item available for sale during the year were as follows:
| Jan. 1 | Inventory | 30 units @ $104 |
| Mar. 10 | Purchase | 70 units @ $116 |
| Aug. 30 | Purchase | 30 units @ $124 |
| Dec. 12 | Purchase | 70 units @ $130 |
There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used.
Determine the inventory cost and the cost of merchandise sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar.
| Cost of Merchandise Inventory and Cost of Merchandise Sold | ||
| Inventory Method | Merchandise Inventory | Merchandise Sold |
| First-in, first-out (FIFO) | $ | $ |
| Last-in, first-out (LIFO) | ||
| Weighted average cost | ||
In: Accounting
The restaurant owner Lobster Jack wants to find out what the peak demand periods are, during the hours of operation, in order to be better prepared to serve his customers. He thinks that, on average, 60% of the daily customers come between 6:00pm and 8:59pm (equally distributed in that time) and the remaining 40% of customers come at other times during the operating hours (again equally distributed). He wants to verify if that is true or not, so he asked his staff to write down during one week the number of customers that come into the restaurant at a given hour each day. His staff gave him the following data:
| Time | Day 1 | Day 2 | Day 3 | Day 4 | Day 5 | Day 6 | Day 7 |
|---|---|---|---|---|---|---|---|
| 5:00pm-5:59pm | 15 | 19 | 21 | 20 | 12 | 15 | 15 |
| 6:00pm-6:59pm | 30 | 23 | 24 | 25 | 28 | 29 | 26 |
| 7:00pm-7:59pm | 36 | 29 | 39 | 35 | 39 | 30 | 32 |
| 8:00pm-8:59pm | 29 | 33 | 23 | 29 | 24 | 32 | 27 |
| 9:00pm-9:59pm | 21 | 20 | 12 | 19 | 18 | 14 | 20 |
| 10:00pm-10:59pm | 12 | 12 | 15 | 12 | 10 | 15 | 14 |
| 11:00pm-11:59pm | 8 | 7 | 9 | 10 | 12 | 12 | 9 |
Help the manager figure out if his instincts are correct or not. Use a Chi-Squared test to see if the observed distribution is similar to the expected. Use the average demand for a given time as your observed value.
Part 1:
What is the p-value of your Chi-Square test?
Parts 2:
The owner now wants you to help him analyze his sales data. The restaurant is famous for its Lobo lobster roll. You were given some information based on which you deduced that the demand for the lobster roll was normally distributed with a mean of 220 and standard deviation of 50. You also know that the lobster supplier can provide lobster at a rate that mimics a uniform distribution between 170 and 300. One Lobster is used per roll and the lobsters need to be fresh (i.e. the restaurant can only use the lobsters that are delivered that day).
You decide to run 200 simulations of 1000 days each.
1. Calculate the expected sales of Lobster roll per day based on your simulation results. I solved
201
2. Use the expected sales from each of your 200 simulations to create a confidence interval for the average expected sales. What is the 95% confidence interval, L (Your confidence interval is mean +/- L), for this estimate?
In: Statistics and Probability
|
9. Determining the optimal capital structure Understanding the optimal capital structure Review this situation: Transworld Consortium Corp. is trying to identify its optimal capital structure. Transworld Consortium Corp. has gathered the following financial information to help with the analysis.
Which capital structure shown in the preceding table is Transworld Consortium Corp.’s optimal capital structure? Debt ratio = 70%; equity ratio = 30% Debt ratio = 40%; equity ratio = 60% Debt ratio = 30%; equity ratio = 70% Debt ratio = 60%; equity ratio = 40% Debt ratio = 50%; equity ratio = 50% Consider this case: Globex Corp. is an all-equity firm, and it has a beta of 1. It is considering changing its capital structure to 65% equity and 35% debt. The firm’s cost of debt will be 6%, and it will face a tax rate of 40%. What will Globex Corp.’s beta be if it decides to make this change in its capital structure? 1.45, 1.32, 1.52, 1.72 Now consider the case of another company: U.S. Robotics Inc. has a current capital structure of 30% debt and 70% equity. Its current before-tax cost of debt is 6%, and its tax rate is 40%. It currently has a levered beta of 1.25. The risk-free rate is 3%, and the risk premium on the market is 8%. U.S. Robotics Inc. is considering changing its capital structure to 60% debt and 40% equity. Increasing the firm’s level of debt will cause its before-tax cost of debt to increase to 8%. Use the Hamada equation to unlever and relever the beta for the new level of debt. What will the firm’s weighted average cost of capital (WACC) be if it makes this change in its capital structure? (Hint: Do not round intermediate calculations.) 10.1, 9.6, 7.6, 8.1 Which of the following statements regarding a firm’s optimal capital structure are true? Check all that apply. The optimal capital structure minimizes the firm’s WACC. The optimal capital structure maximizes the firm’s stock price. The optimal capital structure minimizes the firm’s cost of debt. The optimal capital structure maximizes the firm’s EPS. The optimal capital structure minimizes the firm’s cost of equity. |
In: Finance
Two years ago, a large number of firms entered a market in which existing firms had been earning positive economic profits. By the end of last year, the typical firm in this industry had begun earning negative economic profits. No other events occurred in this market during the past two years.
Explain the adjustment process that occurred last year.
Predict what adjustments will take place in this market beginning this year, other things being equal.
In: Economics
ASAP PLEASE!!!! USING JAVA
/*
1. When should you use a do-while loop?
** Write your answer as a multi-line Java comment **
*/
/*
2. Identify the algorithm that matches this code snippet. Your choices are:
sum and average, counting matches, first match, prompt until match, and
comparing adjacent values. Write your answer below the coded.
int firstNum = 0;
int number = scnr.nextInt();
while (scnr.hasNextInt())
{
int input = scnr.nextInt();
if (input == number)
{
firstNum++;
}
}
My answer is:
*/
/*
3.
Write a Java code snippet with a do-while loop to validate user input. Prompt the
user to enter a value less than 100. If the user doesn't enter a value less than 100,
ask again until they provide a valid number. Print the valid number to the console.
*/
/*
4. Write a Java code snippet with a nested for loop to
print five rows of six random integers between 5 and 10 inclusive.
*/
/*
5. Currency conversion: Write a snippet that first asks the user to type
today's US dollar price for one Euro. Then use a loop to:
-- prompt the user to enter a Euro amount. (allow decimals)
-- convert that amount to US dollars. (allow decimals)
-- print the amount to the screen, formatted to two decimal places
Use 0 as a sentinel to stop the loop.
*/
In: Computer Science
A gambler plays a dice game where a pair of fair dice are rolled one time and the sum is recorded. The gambler will continue to place $2 bets that the sum is 6, 7, 8, or 9 until she has won 7 of these bets. That is, each time the dice are rolled, she wins $2 if the sum is 6, 7, 8, or 9 and she loses $2 each time the sum is not 6, 7, 8, or 9 and she keeps playing like this until she's won 7 times.
a. What's the probability she places a total of 12 bets?
b. What's her expected winnings when she stops?
In: Statistics and Probability
A 175 g mass attached to a horizontal spring oscillates at a frequency of 2.80 Hz. At t =0s, the mass is at x= 7.00 cm and has vx =− 35.0 cm/s . Determine:
The maximum speed.
The maximum acceleration.
The total energy.
The position at t= 2.80 s .
In the previous parts, the following was found: period = 0.357 s, angular frequency = 17.59 rad/s, amplitude = 7.277 cm, phase constant = 15.8679 degrees.
In: Physics
A block of mass m = 2.6kg is attached to a single spring of spring constant k = 4.4Nmand allowed to oscillate on a horizontal, frictionless surface while restricted to move in the x-direction. The equilibrium position of the block is x=0m. At time t=0s the mass is at position x=2.7m and moving with x-component of velocity vx=−6.8ms. What is the x-component of velocity at time t=1.3s? Answer in meters per second.
In: Physics
Refer to the air-conditioning data set aircondit provided in the boot package. The 12 observations are the times in hours between failures of air-conditioning equipment
3, 5, 7, 18, 43, 85, 91, 98, 100, 130, 230, 487.
Use R software
In: Statistics and Probability