1. A study was created to test which brand of tire lasts longest when driving on rough surfaces. After 5000 miles in a lab machine, the tread was measured. What type of study would this be?

2. You want to determine which degree leads to a higher starting salary, creative writing or art history. You track students with these majors for the next 5 years. What type of study would this be?

3. Which is an example of a simple random sample?

4. _________ are used to infer about __________

5. Choose all that apply. Population parameters

6. We defined our population as this class, and then collected heights of all the people in this class, and took an average. This would be an example of a

Medical Expenses (LO 5.6)

In 2018, Margaret and John Murphy (age 66 and 68, respectively) are married taxpayers who file a joint tax return with AGl of $25,400. During the year they incurred the following expenses:

Medical insurance premiums $1,150
Premiums on an insurance policy that pays $100 per day for each day Margaret is hospitalized 400
Medical care lodging (two people, one night) 65
Hospital bills 2,100
Doctor bills 850
Dentist bills 175
Prescription drugs and medicines 340
Psychiatric care 350

In addition, they drove 83 miles for medical transportation, and their insurance company reimbursed them $900 for the above expenses. On the following segment of Schedule A of Form 1040, calculate the Murphy's medical expense deduction.

If required, round any amount to the nearest dollar. Enter all amounts as positive numbers.

Caution. Do not include expenses reimbursed or paid by others. Medical and Dental Expenses 1 Medical and dental expenses (see instructions) . . . . . . . . . . . . . . 1

2 Enter amount from Form 1040, line 7. . . . . 2

3 Multiply line 2 by 7.5% (.075) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

4 Subtract line 3 from line 1. If line 3 is more than line 1, enter -0- . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Contingent Liabilities

Several months ago, Cinnabar Chemical Company experienced a hazardous materials spill at one of its plants. As a result, the Environmental Protection Agency (EPA) fined the company $1,416,000. The company is contesting the fine. In addition, an employee is seeking $342,000 damages related to injuries sustained while cleaning up the spill. Lastly, a homeowner has sued the company for $236,000. The homeowner lives 15 miles from the plant but believes that the incident has reduced the home's resale value by $236,000.

Cinnabar’s legal counsel believes that it is probable that the EPA fine will stand. In addition, counsel indicates that an out-of-court settlement of $213,750 has recently been reached with the employee. The final papers will be signed next week. Counsel believes that the homeowner's case is much weaker and will be decided in favor of Cinnabar. Other litigation related to the spill is possible, but the damage amounts are uncertain.

a. Illustrate the effects of the contingent liabilities associated with the hazardous materials spill on the accounts and financial statements. If no account or activity is affected, select "No effect" from the dropdown list and leave the corresponding number entry box blank. Enter account decreases and cash outflows as negative amounts

Simon Inc. is making the daily brownie run across the Chicago metropolitan area. They have seven customers and have identified the driving distance (in miles) between each pairwise combination as shown in the table. One-way streets and various construction projects affect driving distances such that the distance from one to the other may not be same depending on which site is the starting point. Identify the most energy efficient route that begins at Simon Inc. headquarters (Simon) and visits each customer once before returning to headquarters. Show work

You may need to use the appropriate appendix table or technology to answer this question. The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a mean of 4.5 million tons of cargo per week.† Assume that the number of tons of cargo handled per week is normally distributed with a standard deviation of 0.84 million tons.

(a) What is the probability that the port handles less than 5 million tons of cargo per week? (Round your answer to four decimal places.)

(b) What is the probability that the port handles 3 or more million tons of cargo per week? (Round your answer to four decimal places.)

(c) What is the probability that the port handles between 3 million and 4 million tons of cargo per week? (Round your answer to four decimal places.)

(d) Assume that 83% of the time the port can handle the weekly cargo volume without extending operating hours. What is the number of tons of cargo per week that will require the port to extend its operating hours? (Round your answer to one decimal places.) tons of cargo per week

On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the Fukushima nuclear power plant. Among many other results, amounts of iodine-131 that were 27 times the government limit were found in a sample of spinach 60 miles away.† Now, 27 times the government limit of iodine-131 is 54 thousand becquerels per kilogram.† The following table shows the amount I, in thousands of becquerels per kilogram, of iodine-131 that would remain after t days.

(a)

Show that the data are exponential. (In this part and the next, round to three decimal places.)

Because t increases by 1 each time, to show that the data are exponential, we must show that the successive ratios (rounded to three decimal places) are the same. Because all of the ratios are equal to  , the data are exponential.

(b)

Find an exponential model I that shows the amount of iodine-131 present after t days.

I(t) =

(c)

How long will it take for the amount of iodine-131 to fall to the government limit of 2 thousand becquerels per kilogram? Round your answer to the nearest whole day.

days

The correct answers are highlighted. I would like an explanation for why some are null hypothesis and some are alternative. Thank you.

1.) Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. Using Excel and the functions show me how you got your answer

1. If¯¯¯¯¯XX¯ = average distance in feet for 49 fly balls, then¯¯¯¯¯XX¯ ~ _______(_______,_______)
2. What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for¯¯¯¯¯XX¯. Shade the region corresponding to the probability. Find the probability. using excel functions
3. Find the 80^th percentile of the distribution of the average of 49 fly balls. using excel functions

2.) Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let¯¯¯¯¯XX¯ the average of the 49 races. Using Excel and the excel functions for the following questions. Show me how you got your answer

1. ¯¯¯¯¯XX¯ ~ _____(_____,_____)
2. Find the probability that the runner will average between 142 and 146 minutes in these 49 marathons. using excel functions
3. Find the 80^th percentile for the average of these 49 marathons. using excel functions
4. Find the median of the average running times. using excel functions

Scatter Diagrams and High-Low Cost Estimation
From April 1 through October 31, Will County Highway Department hires temporary employees to mow and clean the right-of-way along county roads. The County Road Commissioner has asked you to help her in determining the variable labor cost of mowing and cleaning a mile of road. The following information is available regarding current-year operations:

a. Use the information from the high- and low-volume months to develop a cost-estimating equation for monthly labor costs.

b. Plot the data on a scatter diagram. Using the information from representative high- and low volume months, use the high-low method to develop a cost-estimating equation for monthly labor costs.

d. Adjust the equation developed in requirement (b) to incorporate the effect of an anticipated 7 percent increase in wages.