(Round all intermediate calculations to at least 4 decimal places.) It is advertised that the average braking distance for a small car traveling at 75 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 120 miles per hour and records the braking distance. The sample average braking distance is computed as 111 feet. Assume that the population standard deviation is 20 feet. Use Table 1. a. State the null and the alternative hypotheses for the test. H0: μ = 120; HA: μ ≠ 120 H0: μ ≥ 120; HA: μ < 120 H0: μ ≤ 120; HA: μ > 120 b. Calculate the value of the test statistic and the p-value. (Negative values should be indicated by a minus sign. Round "Test statistics" to 2 decimal places. Round "p-value" to 4 decimal places.) Test statistics p-value The p-value is: 0.01 Picture p-value < 0.025 0.025 Picture p-value < 0.05 0.05 Picture p-value < 0.10 p-value Picture 0.10 p-value < 0.01 c. Use α = 0.01 to determine if the average breaking distance differs from 120 feet. The average breaking distance is different from 120 miles. d. Repeat the test with the critical value approach. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) Critical values are and and we H0.

Statsitics question

This exercise resembles the preceding exercise. The variables in this case are: 1) the gender of automobile drivers, 2) whether they have driven "many" miles in their lives or "few" miles, and 3) whether they have had "many" accidents or "few" accidents.

You are to use the elaboration model to test fully the following hypothesis about the impact of gender on number of automobile accidents:

Hypothesis: Men have more automobile accidents than do women.

In testing this hypothesis, complete the items that follow the data table.

1. Identify the independent and dependent variables in the hypothesis. Construct the bivariate table that tests this basic hypothesis. Be sure you follow the guidelines for effective table presentation and analysis discussed in Chapter 15. Interpret the results.

2. Construct the other two bivariate tables that examine the relationship of the control variable first to the independent variable and then to the dependent variable of the original hypothesis. Interpret the results.

3. Construct the trivariate table appropriate for assessing the effect of the control variable on the original relationship. Do this by presenting two versions of the original bivariate table, one for each attribute of the control variable. Analyze the results.

4. Which form of the elaboration model best represents the pattern of your results? Why?

Martin Galloway, the sole proprietor of a consulting business, has gross receipts of $45,000. His address is: 1223 Fairfield Street, Westfield, New Jersey and his SSN is 158-68-7799. Expenses paid by his business are

During the year, Martin drives his car a total of 15,000 miles (700 business miles and 550 personal miles per month). He paid $100 for business-related parking and tolls. He paid $120 in fines for speeding tickets when he was late for appointments with clients. Martin’s office is located in his home. His office occupies 500 of the 2,000 square feet in his home. His total (unallocated) expenses for his home are

Depreciation for the business portion of his home is $1,364.

1. What is Martin’s net income (loss) from his business for 2018?
2. How much self-employment tax must Martin pay?
3. Based on this information, are there any other deductions that Martin can claim on his individual tax return other than those reported on his Schedule C?
4. How would your answers to the above items change if Martin elects to use the simplified method for home office expenses?

1. Select a car that has a traditional gas-engine model and a hybrid or electric model (i.e. Honda Civic). Make the assumption that the car will be driven for five years and the annual miles driven will be 12,000 miles. Then use ten years with the same 12,000 miles per year. Decide on an estimate for the cost per gallon of gas (i.e. truck will cost more than a compact car). 2. Research the initial cost of the traditional gas-engine and the hybrid or electric model. Be sure to include all the upfront cost including taxes. You do not need to do both hybrid or electric. You can pick one to compare against the gas-engine model. If you find a car that has all three model types and you compare all three, that will be extra credit. Then estimate the annual operating cost (fuel cost, insurance, maintenance, etc.). Calculate the present value of the cost of owning this vehicle with the gas-engine vs. the hybrid or electric model. Use a 6% discount rate. Then use a 10% discount rate. Does that make any difference? 3. Compare the cost of the two or three models. After comparing the costs, research the environmental issues associated with the two or three car models. Incorporate any sustainability issues on both sides. Formulate arguments to support your recommendation for the gas-engine or hybrid/electric model. Debate which model is more desirable for businesses to buy. Be specific in your reasons and cite your information sources.

Martin Galloway, the sole propiertor of a consulting business, has gross receipts of $45,000 in 2017. His adresss is: 1223 Fairfield Street, Westfield, New Jersey and his SSN is 158-68-7799. Expenses paid by his business are

Advertising $500

Supplies 2,900

Taxes and licenses 500

Travel (other than meals) 600

Meals and entertainment 400

Health insurance premiums (for Martin) 1,400

Individual retirement account contribution 2,500

During the year Martin drives his car a total of 15,000 miles (700 business miles and 550 personal miles per month). He paid $100 for business-related parking and tolls. He paid $120 in fines for speeding tickets when he was late for appointments with clients. Martin's office is located in his home. HIs office occupies 500 and 2,000 square feet in his home. His total (unallocated) expenses for his home are:

Mortgage interest $6,000

Property taxes 1,700

Insurance 700

Repairs and maintenance 300

Utilities 1,600

Depreciation for the business portion of his home is $1,364.

a. What is Martin's net income (loss) from his business?

b. How much self-employment tax must Martin pay?

c. Based on this information, are there any other deductions that Martin can claim on his individual tax return other than those reported on his Schedule C?

d. How would your answers to the above items change if Martin elects to use the simplified method for home expenses?

A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected.

a. Which is the independent/explanatory variable?

b. Which is the dependent/response variable?

Enter the data into an Excel spreadsheet.

c. Create a scatterplot for these data. How would you interpret the scatterplot?

Run a regression analysis using Data Analysis/Regression Tool and use the output to answer the following questions:

d. What is the correlation between distance to work and days absent? What does it say about the strength of the relationship?

e. What is the coefficient of determination? How would you interpret it?

f. Write the hypotheses for the test of the slope.

g. What is the p-value for the test of the slope? How would you interpret the p-value?

h. What is the regression formula resulting from this analysis between Distance to Work and Days Absent?

i. Use your formula to predict the number of days absent for an employee who lives 9 miles from work.

j. Use your formula to predict the number of days absent for an employee who lives 17 miles from work.

1. Over a very long period of time, a sheriff determines the mean vehicle speed on a road is 67 miles per hour, the standard deviation is 3 miles per hour. Treat this as the population, not a sample.
   1. If the speed limit is 60 miles per hour, what percentage of the vehicles exceed the speed limit?
   2. The sheriff cracks down on speeders. His deputies ignore any vehicles going less than 63 mph, and issue warnings to those going between 63 and 65, and issue tickets to those going faster than 65 mph.
      1. What percentage will get warnings?
      2. What percentage will get tickets?

Following the crackdown, the sheriff takes a random sample (n=84) of vehicle speeds on the road way. His sample data: mean is 63 mph, sample SD is 4 mph.

3. Calculate the standard error of the sample mean using the sample standard deviation, and applying the +/- 2 rule of thumb, calculate the 95% confidence interval around the sample mean
4. A county commissioner claims that the crackdown had no effect, and the average speed is still 67 mph. Is this commissioner correct?
   1. How likely is it that the sample of came from a population where the average speed is 67?
5. What if the sheriff’s post-crackdown random sample was not n=84 but in fact n=30? Assume the sample mean and standard deviation were unchanged. Use a t-table to determine the 95% confidence interval around that sample mean.
   1. Would the county commissioner be accurate in this case?

Mastery Problem: Corporations: Organization, Stock Transactions, and Dividends

Pranks, Inc.

Pranks, Inc. is a manufacturer of joke and novelty products for perpetrators of practical jokes. The corporation has paid several cash dividends throughout Year 6, the current year. It is also declaring a stock dividend to its stockholders as the calendar year-end approaches. You’ve been brought in as a consultant to assist with this process, and also to help determine whether some missing information can be determined before the distribution of the stock dividend is made. The company has two classes of stock: common stock and cumulative preferred stock.

Stock Dividend

The company declared a 2% common stock dividend on December 1, and would like you to compute the following pieces of missing information. The market value of the common shares is $25 on December 1, and is $32 on the actual distribution date of the stock, December 31.

Fill in the missing information in the following table, using the information given and your work on the other panels. All “before” items are before the stock dividend was declared. All “after” items are after the stock dividend was declared and closing entries were recorded at the end of the year.

Suppose a mass m is on a spring that has been compressed a distance h. How much further must the spring be compressed to triple the elastic potential energy?

1.7 h

0.73 h

1.0 h

3.0 h

2.0 h