The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Brand Price Score Bose 190 78 Scullcandy 160 76 Koss 95 61 Phillips/O'Neill 70 57 Denon 80 40 JVC 45 27 a. Does the t test indicate a significant relationship between price and the overall score? The test t-Conclusion at α = .05 t = (to 2 decimal places.) p-value is What is your conclusion? Use α = .05. . b. Test for a significant relationship using the F test. p-value is What is your conclusion? Use α = .05. Because p-value is .05, we H0: β1 is . c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value

The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows.

Brand Price Score

Bose 180 76

Scullcandy 150 77

Koss 85 68

Phillips/O'Neill 80 58

Denon 70 40

JVC 35 27

a. Does the t test indicate a significant relationship between price and the overall score? The test t-Conclusion at α = .05 t = (to 2 decimal places.) p-value is What is your conclusion? Use α = .05. .

b. Test for a significant relationship using the F test. p-value is What is your conclusion? Use α = .05. Because p-value is .05, we H0: β1 is .

c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary.

Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square F

p-value

Regression Error Total

For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the correlation​ coefficient, and​ (c) determine whether there is a linear relation between x and y.

   Data set

Critical Values for Correlation Coefficient

Compute the correlation coefficient.

The correlation coefficient is

r=__?__.

​(Round to three decimal places as​ needed.)

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices. 13 13 13 20 26 27 31 34 34 34 35 35 36 37 38 41 41 41 45 47 47 47 50 51 53 54 56 62 67 82 (Round your answers to 2 decimal places.)

Determine the first and third quartiles.

Determine the second decile and the eighth decile.

Determine the 67th percentile.

27.Your uncle has a big proportion of his life savings deposited in one of the Big Four Australian banks. He read in the newspaper that due to COVID-19, these banks’ profitability has declined significantly as a result of some customers not being able to service their loans and negative economic outlook. He is worried that his deposit in the bank may not be secure and is wondering whether he should withdraw all his deposit from the bank. Knowing that you have just completed this unit, he asked for your advice.
What advice will you provide to your uncle given what you have learned about financial institutions in this unit?

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices.

(Round your answers to 2 decimal places.)

1. Determine the first and third quartiles.
2. Determine the second decile and the eighth decile.
3. Determine the 67^th percentile.

Write a program that creates a two-dimensional array initialized with test data. Use any

primitive data type that you wish. The program should have the following methods:

• fillRandom. Accepts a reference to a two-dimensional array and fills it with random integers from 0 to 99
• formatPrint. This method should accept a two-dimensional array and print it out row by row
• getTotal. This method should accept a two-dimensional array as its argument and return the total of all the values in the array.
• getAverage. This method should accept a two-dimensional array as its argument and return the average of all the values in the array. Calls getTotal and getElementCount.
• getRowTotal. This method should accept a two-dimensional array as its first argument and an integer as its second argument. The second argument should be the sub- script of a row in the array. The method should return the total of the values in the specified row.
• getColumnTotal. This method should accept a two-dimensional array as its first argument and an integer as its second argument. The second argument should be the subscript of a column in the array. The method should return the total of the values in the specified column.
• getHighestInRow. This method should accept a two-dimensional array as its first argument and an integer as its second argument. The second argument should be the subscript of a row in the array. The method should return the highest value in the specified row of the array.
• getLowestInRow. This method should accept a two-dimensional array as its first argument and an integer as its second argument. The second argument should be the sub- script of a row in the array. The method should return the lowest value in the specified row of the array.
• getElementCount. This method should accept a two-dimensional array and returns the total number of elements in the array.

Demonstrate each of the methods in this program. Each (except for getElementCount, are called from main.

The main program will request the number of rows and columns as input, creates the two-dimensional array, and first calls fillRandom. A sample output is:

Please enter the number of rows and columns in a two dimensional array: 4 5

78 65 72 30 95

60 71 88 41 73

32 74 47 70 27

59 91 80 81 87

Output:
Processing the int array.

Total : 1321

Average : 66.05

Total of row 0 : 340

Highest in row 0 : 95

Lowest in row 0 : 30

Total of row 1 : 333

Highest in row 1 : 88

Lowest in row 1 : 41

Total of row 2 : 250

Highest in row 2 : 74

Lowest in row 2 : 27

Total of row 3 : 398

Highest in row 3 : 91

Lowest in row 3 : 59

Explain how each of the assumptions of perfect competition contributes to the fact that all decision makers in perfect competition are price takers.

If the assumptions of perfect competition are not likely to be met in the real world, how can the model be of any use?

Explain the difference between marginal revenue, average revenue, and price in perfect competition.

The federal government currently taxes the increase in the value of share of stock when they are sold. This is called the capital gains tax. Explain why, if the government reduced the tax rate on capital gains, it could actually receive more total revenue. In your answer, carefully distinguish between tax rates and tax revenue.

(1 point) A $3500 bond paying interest at j1j1 = 10% matures on June 1, 2030. On July 22, 2004, it was purchased for $3551 plus bond interest. On April 3, 2009, it was sold for $3443 plus bond interest. Estimate the yield j1j1 by the method of averages.