****PLEASE ANSWER ALL QUESTIONS****

Question 1 (1 point)

164 employees of your firm were asked about their job satisfaction. Out of the 164, 47 said they were unsatisfied. What is the estimate of the population proportion? What is the standard error of this estimate?

Question 1 options:

Question 2 (1 point)

Suppose the nationwide high school dropout rate for 2014 was around 14.62%. If you checked the records of 472 students in high school in 2014, what is the probability that greater than 14.97% of them ended up dropping out?

Question 2 options:

Question 3 (1 point)

An airline records flight delays in and out of Chicago O'Hare airport for a year. The average delay for these flights is 9.64 minutes with a standard deviation of 3.51 minutes. For a sample of 49 flights, 94% of flights will have an average delay less than how many minutes?

Question 3 options:

Question 4 (1 point)

A U.S. census bureau pollster noted that in 411 random households surveyed, 252 occupants owned their own home. For a 95% confidence interval for the proportion of home owners, what is the margin of error?

Question 4 options:

Question 5 (1 point)

The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 64 students, 39 indicated that they preferred outdoor exercise over exercising in a gym. They estimated the proportion of students at the university who prefer outdoor exercise as ( 0.452 , 0.7667 ), with 99% confidence. Which of the following is an appropriate interpretation of this confidence interval?

Question 5 options:

Question 6 (1 point)

The owner of a local phone store wanted to determine how much customers are willing to spend on the purchase of a new phone. In a random sample of 13 phones purchased that day, the sample mean was $493.254 and the standard deviation was $21.6007. Calculate a 90% confidence interval to estimate the average price customers are willing to pay per phone.

Question 6 options:

Use the following information to answer questions 23 to 30. In order to ascertain clarity on how much cash Musa (Pty) Ltd needs each month, complete the cash budget using the information below. Sales (in rand) are as follows:

Of the company’s sales, 40% are done in cash. Credit sales are collected as follows: 

40% during the month of sale 

20% during the first month following the month of sale 

20% during the second month following the month of sale 

20% during the third month following the month of sale

Purchases are as follows:

All purchases are on credit and are paid as follows: 

40% during the month of purchase 

30% during the first month following the month of purchase 

15% during the second month following the month of purchase 

15% during the third month following the month of purchase

Other information 

Salaries and wages of R100 000 are paid monthly 

Rent of R50 000 on a monthly basis 

Interest on debt of R4 000 each month

Major maintenance on machines and plant amounting to R1 500 000 in October was undertaken. 

Depreciation costs of R20 000 is charged on a monthly basis 

At the beginning of September, the business will have R50 000 in cash 

The management of the company has a policy of maintaining R50 00 minimum cash balance.

Requirements:

Compile the cash budget for Musa (Pty) Ltd for the months of September, October and November. Also indicate the financing needed to maintain the minimum cash balance and meet the operational requirements.

Question 23

Calculate the total credit sales collected for October.

1. R846 000

2. R896 000

3. R950 000

4. R986 000

Question 24

Calculate the opening balance for October.

1. R430 000

2. R585 800

3. R680 500

4. R720 200

Question 25

Calculate the total credit purchases collected for September.

1. R360 000

2. R460 000

3. R520 500

4. R545 500

Question 26

Calculate the total credit sales collected for November.

1. R566 000

2. R700 000

3. R966 000

4. R975 000

Question 27

Calculate the financing required for October.

1. R239 000

2. R397 500

3. R405 000

4. R515 000

Question 28

Calculate the financing required for November.

1. R154 000

2. R297 500

3. R496 750

4. R515 000

Question 29 Calculate the cash sales for September. 1. R340 000 2. R580 000 3. R650 000 4. R700 000 .

Question 30 Calculate the credit purchases for June that were collected in September. 1. R114 000 2. R140 000 3. R160 000 4. R170 000

1. Copy and past the table above into your own file, enter the values, write up your answers, and save the file for uploading your answer.
2. Calculate the marginal utility per dollar for each unit of each item.
3. Determine how the $10 should be spent to maximize utility. How many hot dogs will you buy? How many drinks? 4 drinks, 3 hot dogs.
4. What is the total utility from hot dogs? 23
5. What is the total utility from drinks? 50
6. What is the combined total utility from your purchases? 73

Income=$10    Price of a hot dog= $2   Price of a drink= $1

Waylander Coatings Company purchased waterproofing equipment on January 6 for $320,000. The equipment was expected to have a useful life of four years, or 20,000 operating hours, and a residual value of $35,000. The equipment was used for 7,200 hours during Year 1, 6,400 hours in Year 2, 4,400 hours in Year 3, and 2,000 hours in Year 4.

Required:

1. Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by (a) the straight-line method, (b) the units-of-activity method, and (c) the double-declining-balance method. Also determine the total depreciation expense for the four years by each method.

2. What method yields the highest depreciation expense for Year 1?

3. What method yields the most depreciation over the four-year life of the equipment?

The file P02_35.xlsx contains data from a survey of 500 randomly selected households. a. Suppose you decide to generate a systematic random sample of size 25 from this population of data. How many such samples are there? What is the mean of Debt for each of the first three such samples, using the data in the order given? b. If you wanted to estimate the (supposedly unknown) population mean of Debt from a systematic random sample as in part a, why might it be a good idea to sort first on Debt? If you do so, what is the mean of Debt for each of the first three such samples? Please provide answer in Excel format with steps how to do it. I am not able to upload full table.

For a Car Rental System, do the following:

1. Decompose the system into 3 components

2. For each component, write 1-2 lines of Requirement

3. Draw Context Diagram based on the Requirements from #2 above.

4. Draw Level-0 diagram based on the Requirements from #2 above.

Let X equal the number of chocalate chips in a chocalate chip cookie. Sixty-two oberservations of X yielded the following frequencies for the possible outcomes of X:

(a) Use this data to graph the relative frequency histogram and the Poisson probability with

lamda = 5.6 on the same figure.

(b) Do these data seem to be observations of a Poisson random variable with

lamda = 5.6 ?

Calculate the following information for a $50,000 loan with four (4) annual payments that have a variable interest rate each year.

In year 1, the interest rate is 9.50%.
In year 2, the interest rate is 8.75%.
In year 3, the interest rate is 11.50%.
In year 4, the interest rate is 5.00%

In order for your answers to be marked correct by Canvas, remember to include dollar signs ($), commas for each thousand (000) dollars, and to the nearest whole cent.