2. Three randomly selected households are surveyed. The numbers of people in the households are 1​, 4​, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 1​, 4​, and 10. Listed below are the nine different samples. Complete parts​ (a) through​ (c).

Sample            x1        x2

1          1          1

2          1          4

3          1          10

4          4          1

5          4          4

6          4          10

7          10        1

8          10        4

9          10        10

a. Find the variance of each of the nine​ samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values

                                    S^2                                                                      Probability

​(Type an integer or a fraction. Use ascending order of the sample​ variances.)

b. Compare the population variance to the mean of the sample variances. Choose the correct answer below.

A. The population variance is equal to the mean of the sample variances.

B. The population variance is equal to the square of the mean of the sample variances.

C. The population variance is equal to the square root of the mean of the sample variances.

c. Do the sample variances target the value of the population​ variance? In​ general, do sample variances make good estimators of population​ variances? Why or why​ not?

A. The sample variances do not target the population​ variance, therefore, sample variances make good estimators of population variances.

B. The sample variances do not target the population​ variance, therefore, sample variances do not make good estimators of population variances.

C. The sample variances target the population​ variances, therefore, sample variances make good estimators of population variances.

D. The sample variances target the population​ variance, therefore, sample variances do not make good estimators of population variances.

In Florida, real estate agents refer to homes having a swimming pool as pool homes. In this case, Sunshine Pools Inc. markets and installs pools throughout the state of Florida. The company wishes to estimate the percentage of a pool's cost that can be recouped by a buyer when he or she sells the home. For instance, if a homeowner buys a pool for which the current purchase price is $30,000 and then sells the home in the current real estate market for $20,000 more than the homeowner would get if the home did not have a pool, the homeowner has recouped (20,000/30,000) × 100% = 66.67% of the pool's cost.

To make this estimate, the company randomly selects 80 homes from all of the homes sold in a Florida city (over the last six months) having a size between 2,000 and 3,500 square feet. For each sampled home, the following data are collected: Price - selling price (in thousands of dollars); Size - square footage; Bathrooms - the number of bathrooms; Rating - a niceness rating (expressed as an integer from 1 to 7 and assigned by a real estate agent); and Pool - whether or not the home has a pool (1 = yes, 0 = no).

1. Your results in (4) show different mean selling prices for homes with a pool and homes that do not have a pool. Can we conclude that the mean selling price for homes without a pool is significantly lower than the mean selling price for homes with a pool.

2. What about differences in average price among homes with different number of bathrooms? Can we conclude that the differences are significant? If so, which types of bedrooms have significant mean differences?

3. The president of the company told a potential buyer that on average, homes in the city sell for more than 258,000. Is there evidence to support this claim?

4. (a) Is a home having a pool independent of the number of bathrooms?

(b) What proportion of homes with a pool have 2, 2.5, 3, 3.5, and 4 bathrooms?

5. The president of the company would like to estimate the percentage of homes with a pool for the entire city using the sample data he has. At the 95% confidence level, provide an interval estimate, with an explanation, for the president.

6. Create a correlation matrix of the following metrics: Price, Size, Bathrooms, and Rating. Comment on the results.

Data Set:

Statement 1: The actual relationship between the risk-free rate of return ( r* ) and the expected future inflation rate or inflation premium (IP) is actually multiplicative—that is, [(1 + rRF ) x (1 + IP)] – 1—but it is often simplified to reflect an additive relationship. Statement 2: All else being equal, the more highly that savers and investors prefer immediate spending to deferred consumption, the lower the compensation that savers and investor will require to induce them to make an investment that will necessitate postponed spending. Statement 3: A risk-free asset is one characterized by guaranteed returns, whereas the cash flows of a risky asset may be greater or less than the expected or promised returns. Statement 4: For the average rational investor or saver, there is an indirect, or inverse, relationship between the amount of risk exhibited by a security and the risk premium that would be required by the investor or saver.

The true statements are:

2 and 4

1, 2, and 3

1 and 3

1, 2, 3, and 4

Red Canyon T-shirt Company operates a chain of T-shirt shops in the southwestern United States. The sales manager has provided a sales forecast for the coming year, along with the following information:

• Each T-shirt is expected to sell for $23.
• The purchasing manager buys the T-shirts for $9 each.
• The company needs to have enough T-shirts on hand at the end of each quarter to fill 33 percent of the next quarter’s sales demand.
• Selling and administrative expenses are budgeted at $96,000 per quarter plus 12 percent of total sales revenue.

Required:
1. Determine budgeted sales revenue for quarters 1, 2, and 3.
2. Determine budgeted cost of merchandise purchased for quarters 1, 2, and 3.
3. Determine budgeted cost of good sold for quarters 1, 2, and 3.
4. Determine selling and administrative expenses for quarters 1, 2, and 3.
5. Complete the budgeted income statement for quarters 1, 2, and 3.

Part 1:

Budgeted Sales Revenue : Quarter 1: Quarter 2: Quarter 3:

Part 2:

Budgeted cost of Merchandise Purchased : Quarter 1 : Quarter 2 : Quarter 3 :

Part 3

Budgeted cost of goods sold : Quarter 1: Quarter 2: Quarter 3 :   

Part 4

Budgeted Selling ad administrative expenses : Quarter 1: quarter 2 : Quarter 3 :

.

Isolating bits and bytes

Task: Create a program that manages an IP address. Allow the user to enter the IP address as four 8 bit unsigned integer values (just use 4 sequential CIN statements). The program should output the IP address upon the users request as any of the following. As a single 32 bit unsigned integer value, or as four 8 bit unsigned integer values, or as 32 individual bit values which can be requested as a single bit by the user (by entering an integer 0 to 31). Or as all 32 bits assigned into 2 variable sized groups (host group and network group) and outputted as 2 unsigned integer values from 1 bit to 31 bits each.

Example functionality:

Enter and IP address:

192

168

1

5

Scenario 1:

How would you like to see your IP address ((1) single value, (2) four values, (3), two values, (4) a single bit value): 1

Output should be 3232235781

Scenario 2:

How would you like to see your IP address ((1) single value, (2) four values, (3), two values, (4) a single bit value): 2

Output should be 192.168.1.5

Scenario 3:

How would you like to see your IP address ((1) single value, (2) four values, (3), two values, (4) a single bit value): 3

How many bits in the network address: 16

Output should be 49320, 261

Scenario 4:

How would you like to see your IP address ((1) single value, (2) four values, (3), two values, (4) a single bit value): 4

Which bit would you like to see: 21

Output should be 1

(Because the binary of the IP address is 11000000101010000000000100000101

This lab deals with the following concepts:

• Bit fields
• Unions
• Bit masking
• IP addressing (for the sake of creating a useful program)

SBS Company purchased a new machine on January 1, at a cost of $420,000. The machine has an expected useful life of four years and an expected salvage value of $40,000. The company expects to use the machine for 1,300 hours in the first year, 1,900 hours in the second year, and 900 hours in the third and fourth year, respectively.

(a) Calculate Depreciation Expenses for each year using Straight-Line Method

(b) Calculate Depreciation Expenses for each year using Double-Declining-Balance Method

A working table is provided on the next page.

(c) Calculate Depreciation Expenses for each year using Units of Production Method

Working Table for Double-Declining-Balance Method

Match each of the following items to each of the steps 1 through 5 in the revenue recognition process.

Group of answer choices

The price for performing a federal tax return is $200 and a state tax return is $100 if contracted separately.

      [ Choose ]            Step 3            Step 5            Step 2            Step 1            Step 4      

Tax Prep Inc. will prepare the year-end federal tax return and state tax return for Customer Y.

      [ Choose ]            Step 3            Step 5            Step 2            Step 1            Step 4      

The total price for the year-end tax preparation is $300.

      [ Choose ]            Step 3            Step 5            Step 2            Step 1            Step 4      

Customer Y enters into an agreement with Tax Prep Inc for Tax Prep Inc. to prepare Customer Y's federal and state tax returns.

      [ Choose ]            Step 3            Step 5            Step 2            Step 1            Step 4      

The federal and state tax returns are completed and approved by Customer Y.

In this program you will read a file specifying a directed graph G as a list of edges. Each edge u →v is listed on one line as u v. The input file simply lists the edges in arbitrary order as pairs of vertices, with each edge on a separate line. The vertices are numbered in order from 1 to the total number of vertices. The program outputs the out-degree sequence for G^SCC in increasing order.

For example for the input below:

2 1

3 2

1 3

1 5

3 4

4 5

6 7

5 6

7 4

3 11

2 8

8 9

10 8

9 10

9 4

9 7

10 11

7 11

6 11

the corresponding output is:

0 1 2 3

You should be able to implement this program to run in linear time (time proportional to the total number of vertices plus the total number of edges in the input graph)

(Nothing handwritten please)

3. What chemical test could be used to differentiate between Cyclohexanone, cyclohexanol,cyclohexylamine and cyclohexanecarboxylic acid 4-methyl-1-pentanol, 4-methyl-2-pentanol and 2-methyl-2-pentanol

Calculate the monthly returns for 08/01/2015 – 08/31/2019 period for

(i) S&P 500: