1. Researchers have long suspected that texting has a detrimental effect on driving behavior. To avoid unnecessary high risk of driving on the roads, driving behavior is measured via driving simulator and the number of mistakes is recorded while texting and not texting as the person is driving the simulator. Mistakes such as failing to stay within the lane, driving at least 10 miles below or above the speed limit, and failing to use the turn signal are automatically recorded. To avoid individual differences in driving behavior, participants are tested twice: once under the “texting while driving” condition and once under the “driving without texting” condition. There are nine participants in the study. Their driving mistakes are reported in the table below.

Question: Do the data support the claim that texting has a detrimental (negative) effect on driving behavior, using an α = 0.05?

For this question, you must follow the steps of hypothesis testing and complete all your calculations by hand. Remember to show your calculations and provide your conclusions in sentence format.

Once you finish this part of the assignment, you can scan or take a photo of your work and paste the scan/photo in your Word document.

Table 1.

Number of mistakes by study participants while using the driving simulator

1.Joe is the owner of a large farm, and Joe wants to be certain that his farm will continue to be used for agricultural purposes after his death. Since none of Joe’s children are interested in maintaining the farm, Joe decides to sell his farm to Lou on condition that Lou uses the farm for agricultural purposes. If Lou fails to do so, ownership of the farm will instantly transfer to a charitable organization called the Farming Preservation Society. What is (or could be) the wording of the granting clause found in the deed that transfers ownership of the farm from Joe to Lou.

2.Eli is the owner of a small commercial farm located in Washington (the state). For the past twenty years, Eli’s farm has relied on water drawn from a lake located three miles away. Each day, Eli (or one of Eli’s employees) would take a truck to the lake and fill-up large tanks with its water. The water would then be driven back to the farm to be used to water the crops. One day, a developer bought a large plot of land adjacent to the lake. This developer intends to construct fifty luxury homes on this plot of land, and they plan to draw water from the lake to fillup the dozens of new swimming pools that will soon be constructed. As a result, there will not be enough water in the lake for Eli to use for his farm. If Eli files a lawsuit to limit the amount of water that the developer can draw from the lake, is Eli likely to succeed? Briefly explain your answer. (3 points)

3.What is the easiest and most reliable way to prove someone has title to real estate?

Josh Adams is 76 years old. Josh has always been very active and busy during his life. He was a welder until he retired at age 60. Since then, he has kept busy fishing, hunting, and golfing. In the past 5 years, Josh has realized that his body has begun to age and he had been experiencing some new aches and pains. Josh decided to see his physician to get some answers about what he is experiencing.

1. Josh states that he is no longer able to complete long drives without stopping to use the restroom. He has a 2-hour drive one way out to the woods and is frustrated that he has to stop to use the restroom. What can you tell Josh he is experiencing?
2. Josh is also upset that he does not have the energy to walk the 2 miles to the pond to fish. What can you tell Josh about his energy as he increases with age?
3. Josh also discussed with the physician his inability to see objects clearly at night. What types of things can you explain to Josh about his vision with age?
4. During the visit, the physician notices that Josh cannot understand what the physician is saying. What issues can occur with older adults and their hearing?
5. What psychological changes, associated with aging, should you be prepared to discuss with Josh?
6. What health promotion and risk reduction measures can Josh incorporate to address the common age-related changes?

1. From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and
Dunlop, pg 339. The following table gives the eye color and hair color of 592 students.

Eye Hair Color Row
Color Black Brown Red Blond Total
Brown 68 119 26 7 220
Blue 20 84 17 94 215
Hazel 15 54 14 10 93
Green 5 29 14 16 64
Column Total 108 286 71 127 592

a) What test should we use to test that the eye color and hair color are associated? Give the null
and alternative hypothesis.
b) Conduct the test at α = 0.05. What do you conclude? Give more than reject or fail to reject
H0.

2. The following data is looking at how long it takes to get to work. Let x = commuting
distance (miles) and y = commuting time (minutes)

x 15 16 17 18 19 20
y 42 35 45 42 49 46

a) Give a scatterplot of this data and comment on the direction, form, and strength of this relationship.

b) Determine the least-squares estimate equation for this data set.
c) Give the coefficient of determination, R2, comment on what that means.
d) Give the residual plot based on the least-squares estimate equation.
e) Test if this least-squares estimate equation specify a useful relationship between commuting
distance and commuting time.

Exercise 13-60 (LO13-2, LO13-3, LO13-5)

Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below.

a. Write out the regression equation

2. How much damage would you estimate for a fire 4 miles from the nearest fire station? (Round your answer to the nearest dollar amount.)

3. Determine and interpret the coefficient of determination. (Round your answer to 3 decimal places.)

   c-2. Fill in the blank below. (Round your answer to one decimal place.)

4. Determine the correlation coefficient. (Round your answer to 3 decimal places.)

5. State the decision rule for 0.01 significance level: H₀ : ρ = 0; H₁ : ρ ≠ 0. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)

6. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

For each measurement listed below replace the “?” with the most appropriate level or scale of measurement: nominal, ordinal, interval, ratio.

An analyst at a local automotive garage wanted to see if there were relationships between repair time in hours (y) and months since last service(x1), type of repair(x2), whether it was a truck or car(x3), or the mileage of the vehicle(x4). Use a level of significance of 0.05.

1. What is the dependent variable?

2. What are the independent variables?

3. Run the regression analysis with the four independent variables. Write out the prediction equation.

4. From a global perspective is the model worth keeping? Why?

5. Evaluate the individual independent variables, circle the variables would you consider removing? Explain why?          X1                         X2                           X3                            X4

6. Rerun the regression analysis after removing the unnecessary independent variables. Write the regression equation:

7. What repair time will it take for a car with 90000 miles, not serviced for six months, and requires for electrical repairs?

A project requires a contractor to excavate 28,000 bank CY dry earth, haul it away to a borrow area located 3 miles away. The contractor has 4 weeks to complete the work. The contractor doing the work has decided to mobilize scrapers with a capacity of 20 loose CY. Each Scraper has a typical cycle time of 20 minutes due to the rough terrain at the site. The contractor can purchase one scraper but will have to rent additional scrapers if necessary. The cost data for a CAT 621 Scraper is as follows: A new CAT 621G costs $450,000 (without tires). The contractor plans to use it for five years (average 2000 hours per year) and sell it for $190,000. The scraper tires cost $4,250/tire (scraper has 4 tires) and will likely last 6000 hours. The scraper consumes 10 gallons of fuel per hour. Diesel cost can be estimated at $3.0/gal. The annual maintenance cost for the scraper can be estimated at $18,000. Scraper operator costs $58.00 /hour including overheads. The rate of interest can be assumed to be 6.5%. The rental agency is willing to rent a 621G for $6,000 per week or $ 18,000 per month. The contractor will have to provide fuel and operator. The mobilization and demobilization cost for each scraper is $2,500. Based on this information, analyze the earthwork operations. Make recommendations:

1. How many scrapers should the contractor rent?

2. Estimate the cost in $$/bank CY

(Please show all work clearly and neatly)

1. If you can read at an average rate of 5.15 words per second, how long will it take you to read a 505 page book that has an average of 995 words per page?

2. Let’s say you need to make 12.0 dozen cookies. You decide to make these cookies in batches of 24.0 cookies each. Each batch of cookies requires 27.0 mL of vanilla extract. Each bottle of vanilla extract contains 150. mL of liquid. How many bottles of vanilla extract will you need to make all of your cookies?

3. The label on a bottle of orange juice says that each serving of juice provides you with 480. mg of potassium. The label also says that a serving size is 8.00 fluid ounces and that there are two servings per container. In addition, the label says that 480. mg of potassium is 14.0% of the recommended daily amount of potassium that you ingest in a 2000. calorie diet. How many servings of orange juice do you need to ingest to get 100.% of the recommended daily amount of potassium?

4. My car burns oil at a rate of 1.00 quart every 895 miles. If I travel an average of 83,454 km per year, how many liters of oil do I burn in 11.0 years?

5. If my back yard has an area of 75.5 square zzbts, what is the area in square oobts?

1.00 oobt = 3.43 qvsts

1.00 qvst = 15.4 zzbts

The data below are from a study conducted by a consumer research group on the fuel efficiency (rated based on city miles per gallon) of the 30 top-selling U.S. automobiles.

23 20 16 13 34 27

24 10 16 12 34 26

14 31 15 12 16 36

18 22 15 19 28 38

10 16 14 23 19 44

1. Enter the data into a spreadsheet. Be sure to clearly label and neatly format your spreadsheet.

2. Calculate the sum of these data two different ways: a. By writing your own formula. Clearly label the result. b. By using the SUM spreadsheet function. Clearly label the result

. 3. Use the COUNT function to calculate the N of this sample data set. Clearly label the result.

4. Calculate the arithmetic average (mean) of these data by writing your own formula. Clearly label.

5. Create a new column of data in which you subtract the mean fuel efficiency from each individual fuel efficiency score (i.e., MPG – mean). Be sure to use the proper relative and absolute references (indicated with $ signs) to perform these calculations.

6. Now compute the sum, N, and mean of your new (MPG – mean) scores.

7. Create one more new column of data in which you square each of the (MPG – mean) scores. 8. Finally, compute the sum, N, and mean of your new (MPG – mean)^2 scores