Which of the following taxpayers may claim the standard mileage rate?

Kamila, a sole proprietor, drove her new automobile 3,199 miles for business in 2020. She kept a contemporaneous record of her mileage.

Merlin, a sole proprietor, drove his 2018 automobile 15,832 miles for his business in 2020. He has been using actual expenses since he put the vehicle into service.

Joyce is a volunteer at the American Red Cross in her community. She estimates she drove at least 2,000 miles during 2020 for her volunteer work.

Sally, a reserve member of the Armed Forces, moved 1,956 miles to be closer to her aging parents.

An energy company wants to choose between two regions in a state to install​ energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the​ regions, the average wind speed is calculated for 90 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At alpha0.05​, can the company support the​ researcher's claim? Complete parts​ (a) through​ (d) below.

You have been hired by a used-car dealership to modify the price of cars that are up for sale. You will get the information about a car, and then change its price tag depending on a number of factors. Write a program (a script named: 'used_cars.m' and a function named 'car_adjust.m').The script passes the file name 'cars.dat' to the function. The following information is stored inside the file:

Ford, 2010 with 40,000 miles and no accident at marked price of $6500

Lexus, 2011 with 100,000 miles and 1 accident at marked price of $40,000

Toyota, 2008 with 20,000 miles and 2 accidents at marked price of $14,000

Audi, 2012 with 10,000 miles and no accident at marked price of $45,000

The function will open the file and store its content and creates a structure with the following fields:

Make: A string that represents the make of the car (e.g. ‘Toyota’)

Year: A number that corresponds to the year of the car (e.g. 2000)

Cost: A number that holds the cost of the car (e.g. 8000)

Price: A number that holds the marked price of the car Miles:

The number of miles clocked (e.g. 85000) Accidents:

The number of accidents the car has been in. (e.g. 1)

Your function will then return the structure to the script with all the above fields, with exactly the same names. Here is how you must calculate the Cost of each car: 1. Add 4000 to the cost if the car has clocked less than 30000 miles. 2. Subtract 2000 if it has clocked more than 90000 miles. 3. Reduce the price by 1000 for every accident. From inside your script, call different elements of the structure and make sure it returns the correct values.

Which of the following mixtures will be a buffer when dissolved in a liter of water?

10.A car manufacturer advertised that its new subcompact models get 47 miles per gallon. Let ?? be the mean of mileage distribution for these cars. You suspect that the mileage might be overrated and selected 15 cars of the model; the sample mean mileage was 45.5 miles per gallon and the sample standard deviation of the 16 cars was 2.5 miles per gallon. At 5% level of significance, test whether there is significant evidence that mean miles per gallon is less than 47 miles per gallon.
a)Details given in the problem:
b)Assumptions (if any):
c)Null, Alternate Hypotheses and the tail test?
H0:
H1:
Tail?
d)Find the Critical Statistic (Table value) and Illustrate:
Critical Statistic:
e)State and Compute Test Statistic:
f)Compute p-value:
g)Conclusion using critical method:
h)Conclusion using p-value method:

Following are the number of miles traveled for 30 randomly selected business flights within the United States during 1999.

1095, 925, 1656, 1605, 1503, 1928, 2030, 1418, 500, 1248,
2047, 1027, 1962, 1027, 1197, 1928, 874, 1367, 1129, 1401,
874, 602, 1503, 1469, 636, 1503, 925, 1384, 874, 704

a) Use the data to obtain a point estimate for the population mean number of miles traveled per business flight, μ, in 1999.
Note: The sum of the data is 38341.

b) Determine a 95.44% confidence interval for the population mean number of miles traveled per business flight in 1999. Assume that σ=450 miles. Confidence interval: ( ,  ).

c) Must the number of miles traveled per business flight in 1999 be exactly normally distributed for the confidence interval that you obtained in part (b) to be approximately correct?

d) What theorem helped you answer part (c)?

1.Find the population mean or sample mean as indicated. Population: 7, 8​,18​,19​,13. The population mean is? (type an integer or decimal rounded to three decimal places as needed) .Find the sample standard deviation.

4​, 58​, 11​, 49​, 37​, 23​, 30​, 27​, 30​, 29

S= ? ( round to one decimal place as needed)

4.An insurance company crashed four cars in succession at 5 miles per hour. The cost of repair for each of the four crashes was ​$430​, ​$457​, ​$418​, ​$233. Compute the​ range, sample​ variance, and sample standard deviation cost of repair.
The range is ​$?
s2=?
​(Round to the nearest whole number as​ needed.)
s=​$?
​(Round to two decimal places as​ needed.)

7. Esther and George want to make trail mix.trail mix. In order to get the right balance of ingredients for their tastes they bought 4 pounds of raisins at $ 3.41 per pound, 2 pounds of peanuts for $4.95 per pound, 2 pounds of chocolate chips for $ 3.59$3.59 per pound. Determine the cost per pound of the trail mix. The cost per pound of the trail mix is?( Round to the nearest cent)

13.For the data set​ below,
​(a) Determine the​ least-squares regression line.
​(b) Graph the​ least-squares regression line on the scatter diagram.

x 5 6 7 8 10   
y 8 10 10 14 19
  
​(a) Determine the​ least-squares regression line.
y= ? x+? ​(Round to four decimal places as​ needed.)

14.An engineer wants to determine how the weight of a​ car, x, affects gas​ mileage, y. The following data represent the weights of various cars and their miles per gallon.
Car: A, B,C,D,E

Weight​ (pounds), x 2530, 3105, 3440, 3755, 4050

Miles per​ Gallon, y 27.9, 23.3, 24.5, 18.3, 19.4

​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
Write the equation for the​ least-squares regression line.
y=?x+?
​(Round the x coefficient to five decimal places as needed)
​(b) Interpret the slope and​ intercept, if appropriate.
Choose the best interpretation for the slope.
A.The slope indicates the ratio between the mean weight and the mean miles per gallon.
B.The slope indicates the mean miles per gallon.
C.The slope indicates the mean weight.
D.The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight.
E.It is not appropriate to interpret the slope because it is not equal to zero.

Choose the best interpretation for the​ y-intercept.
A.The​ y-intercept indicates the miles per gallon of the lightest car in the population.
B.The​ y-intercept indicates the miles per gallon for a new car.
C.The​ y-intercept indicates the mean miles per gallon for a car that weighs 0 pounds.
D.The​ y-intercept indicates the mean miles for a car that weighs 0 pounds.
E.It is not appropriate to interpret the​ y-intercept because it does not make sense to talk about a car that weighs 0 pounds.
​
(c) Predict the miles per gallon of car D and compute the residual. Is the miles per gallon of this car above average or below average for cars of this​ weight?

A.It is aboveabove average.

B.It is belowbelow average.

The predicted value is ? miles per gallon( Round to two decimal places as needed)

The residual is ? miles per gallon(Round to two decimal places as needed)