2. A charged object called q1 (+100 C) is in the vicinity of a second charged object called q2 (-50 C). Each object has the same mass. These two objects make up a closed system.

a. At what separation distance will they electrostatically attract each other with a force of 1000 N?

b. What minimum amount of charge must be removed from object q1 and placed on object q2 so that they will begin to electrostatically repel each other? Explain your response.

c. What minimum amount of excess charge must be removed from object q2 and placed on object q1 so that they will begin to electrostatically repel each other? Explain your response.

d. Which of these two objects, if either, would exert a larger force on the other object. Explain your response.

e. What amount of mass would these particles have to have in order to make their gravitational attraction match their electrostatic attraction for a separation distance of 10 m?

Consider the data from Ms. Lloyd PE class for the 10 students in the course.

Use the data for the two variables to create the scatterplot and draw the line. Then, find the linear regression equation.

Discuss the topic about regression covered the slope, intercept, and the best point on the line that demonstrates that your regression equation represents the best-fitted line for the data. Provide tips for understanding what the regression problem is trying to teach and why such topic is important in your field (you can be creative... :)

3. A box contains 15 resistors. Ten of them are labeled 50 ohms and the other five are labeled 100 ohms. a. What is the probability that the first resistor is 100 ohms? b. What is the probability that the second resistor is 100 ohms, given that the first resistor is 50 ohms? c. What is the probability that the second resistor is 100ohms, given that the first resistor is 100 ohms?

4. Refer to Exercise 3. Resistors are randomly selected from the box, one by one, until a 100ohm resistor is selected. a. What is the probability that the first two resistors are both 50 ohms? b. What is the probability that a total of two resistors are selected from the box? c. What is the probability that more than three resistors are selected from the box?

Tuscaloosa National Bank has two service departments, the Human Resources (HR) Department and the Computing Department. The bank has two other departments that directly service customers, the Deposit Department and the Loan Department. The usage of the two service departments’ output for the year is as follows:
   

  
The budgeted costs in the two service departments for the year are as follows:

  
Required:
Use the reciprocal-services method to allocate the budgeted costs of the HR and Computing departments to the Deposit and Loan departments. (Do not round your intermediate calculations and round final answers to the nearest dollar amount.)

A multiple regression model is to be constructed to model the time spent using the internet per week among internet users. The explanatory variables are age, hours spent working per week and annual income.

Data has been collected on 30 randomly selected individuals:

a.) Find the multiple regression equation using all three explanatory variables. Assume that x₁ is age, x₂ is hours working per week and x₃ is annual income. Give your answers to 3 decimal places.

y^ = _____ + _______age + ________ hours working + ________ annual income

b.) At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis (is) (is not) rejected.

c.) The value of R² for this model, to 3 decimal places, is equal to __________

d.) The value of s for this model, to 3 decimal places, is equal to _________

e.) The least significant explanatory variable in this model is:

a.) age
b.) hours working per week
c.) annual income

f.) Construct a new multiple regression model by removing the variable annual income. Give your answers to 3 decimal places.

The new regression model equation is:

y^ = ________ + _________ age + ________ hours working

g.) In the new model compared to the previous one, the value of R² (to 3 decimal places) is:

a.) increased
b.) decreased
c.) unchanged

h.) In the new model compared to the previous one, the value of s (to 3 decimal places) is:

a.) increased
b.) decreased
c.) unchanged

i.) The better model is the:

a.) original model
b.) reduced model

Noodles and Company tested consumer reaction to two spaghetti sauces. Each of 70 judges rated both sauces on a scale of 1 (worst) to 10 (best) using several taste criteria. To correct for possible bias in tasting order, half the judges tasted Sauce A first, while the other half tasted Sauce B first. Actual results are shown below for “overall liking.”

Sauce A: 8, 1, 9, 7, 6, 2, 5, 6, 6, 5, 8, 5, 7, 6, 5, 6, 8, 2, 7, 6, 5, 7, 5, 5, 8,

5, 8, 8, 3, 7, 8, 8, 8, 6, 8, 6, 5, 5, 8, 5, 3, 6, 7, 7, 7, 5, 5, 5, 6, 6,

5, 8, 8, 6, 1, 9, 7, 5, 8, 7, 7, 8, 5, 1, 7, 7, 7, 7, 5, 7

Sauce B:

5, 8, 2, 6, 6, 5, 7, 7, 4, 6, 8, 9, 8, 8, 8, 6, 5, 7, 6, 8, 8, 8, 6, 6, 8,

3, 8, 6, 9, 5, 7, 1, 7, 8, 8, 7, 8, 1, 7, 7, 7, 6, 5, 6, 8, 5, 8, 5, 8, 5,

7, 8, 8, 5, 2, 8, 7, 7, 6, 7, 8, 8, 7, 8, 7, 6, 4, 6, 5, 5

Picture Click here for the Excel Data File

(a) Calculate the mean and standard deviation for each sample. (Round your answers to 3 decimal places.) x⎯⎯ S Sauce A

Sauce B

(b) Calculate the coefficient of variation for each sample. (Enter your answer as a percentage rounded to 1 decimal place.)

CVA

CVB

(C++) Write a program that randomly fills in 0s and 1s into a 5-by-5 matrix,prints the matrix,and finds which row and column with more 1s and display that row and column number.            

Clayton Industries is planning its operations for next year. Ronnie Clayton, the CEO, wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below. Based on the AFN equation, what is the AFN for the coming year? Dollars are in millions.

On 3 June 2016, Premier Company bought an equipment at $5,000,000. The useful life of the equipment was estimated to be five years, with a residual value of $500,000. The company uses straight-line depreciation method with half-year convention and adjusts its accounts annually with the year-end on 31 December. Consider the following as two independent assumptions:

(a) Assuming that on 8 May 2019, the company sold the equipment for $1,900,000, receiving $600,000 cash and a two-year, 10% note receivable for the remaining balance. Prepare the journal entries to record the disposal of the equipment on 8 May 2019.

(b) Assuming that on 1 January 2021, the company had added a new component of $300,000 in the equipment to enhance the speed. The company revised the estimated useful life of the equipment from five years to seven years with residual value of $400,000.

(i) Compute the book value of the equipment at 1 January 2021 after upgrade.

(ii) Prepare the journal entries to record the depreciation expense for 2021.

Problem 1: The same group of people rated both brands of coffee. Half of the subjects tasted brand A first. Half of the subjects tasted brand B first.  

Subject. coffee a. coffee b

1 8 6

2 8 7

3 6 7

4 7 5

5 6 5

6 8 7

7 8 8

8 5 6

9 8 7   

10 6 5

Is there a difference in the mean ratings between the two brands of coffee (use an alpha .05)?

You must use all five steps in hypothesis testing:

1. Restate the question as a research hypothesis and a null hypothesis about the populations.
2. Determine the characteristics of the comparison distribution.
3. Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
4. Determine your sample’s score on the comparison distribution.
5. Decide whether to reject the null hypothesis.