An important feature of tablets is battery​ life, the number of hours before the battery needs to be recharged. The data shown in the table below contain the battery life of 10​ WiFi-only and 10​ 3G/4G/WiFi 9- through​ 12-inch tablets.

a. Assuming that the population variances from both types of tablets are​ equal, is there evidence of a difference in the mean battery life between the two types of​ tablets? Use

α=0.05. Let μ1 be the mean battery life for​ WiFi-only tablets and μ2 be the mean battery life for​ 3G/4G/WiFi tablets.

the hypotheses is:

H0​:μ1=μ2

H1​:μ1≠μ2

Find the test statistic

tSTAT=

The critical values are=

p value=

b. Assuming that the population variances from both types of tablets are​ equal, construct and interpret a 90%, 95%, and 99​% confidence interval estimate of the difference between the population mean battery life of the two types of tablets.

Python:

IDLE exercise

1. Start by running, in the shell, the following assignment statement:

s1 = 'abcdefghijklmnopqrstuvwxyz'

Now write expressions—on separate lines of code—using sting s1 and the indexing operator that evaluate to 'm', 'p', 'z', 'e', 'a'.

2. Write Python statements that correspond to the following:

a. assign to variable flowers a list containing strings 'rose', 'bougainvillea', 'yucca', 'marigold', 'daylily', and 'lily of the valley'.

b. Write Boolean expressions that evaluate to True if the string ‘carrot’ is in the list of flowers, and evaluate the expression.

c. Assign to list thorny the sublist consisting of the three objects in the list flowers.

d. Assign to list poisonous the sublist consisting of just the last object of list flowers.

e. Assign to list dangerous the concatenation of lists thorny and poisonous.

Programming Problems

For the following two problems, create a module called a1.py and write the code for the following programs in it. Do NOT forget the required comments at the top.

1. Write a program that requests as input from the user their lastName, firstName, month they were born, and day they were born. Print the user’s firstName, lastName, and dob in the format below.

For example, if the user inputs Eve, Lulis as the first and last name respectively, and December and 11 as the month and day of their birth, the program will print the following:

Usage (after pressing the F5 button):

>>>Please enter your first name: Eve

>>>Please enter your last name: Lulis

>>>Please enter the month of your birth spelled out: December

>>>Please enter the day of your birth as a number: 11

Hello, Eve Lulis!

You were born on the 11 day of December.

2. Implement a program that requests a decimal value representing a restaurant bill total and an integer representing a percentage.  The program should compute the dollar amount of the tip and print all three values to the screen. You may assume that the user enters numbers for the two values and that the numbers are not negative. In addition to using the test case below, you need to write at least two other test cases for your code. Include the program you wrote and the runs of your test cases in the a1.txt file.

Use the following information to answer the next four exercises: An unknown distribution has a mean of 80 and a standard
deviation of 12. A sample size of 95 is drawn randomly from the population.
7. Find the probability that the sum of the 95 values is greater than 7,650.
8. Find the probability that the sum of the 95 values is less than 7,400.
9. Find the sum that is two standard deviations above the mean of the sums.
10. Find the sum that is 1.5 standard deviations below the mean of the sums.

Use the following information to answer the next five exercises: The distribution of results from a cholesterol test has a
mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly.
11. Find the probability that the sum of the 40 values is greater than 7,500.
12. Find the probability that the sum of the 40 values is less than 7,000.
13. Find the sum that is one standard deviation above the mean of the sums.
14. Find the sum that is 1.5 standard deviations below the mean of the sums.
15. Find the percentage of sums between 1.5 standard deviations below the mean of the sums and one standard deviation
above the mean of the sums

Listed below are account balances (in $millions) taken from the records of Symphony Stores. All of these are permanent accounts, except the last two that have yet to be closed. The installment receivables are current. Symphony uses a perpetual inventory system.

What would Symphony report as total assets? Hint: Don t forget to deduct the contra assets.

What would Symphony report as total shareholders' equity? Hint: You will need to deduct dividends.

1. If a two-sided t- test is run and the t-stat=2.20, we definitely reject H₀ at α=0.05 T/F

2. If we run a one-sample t-test and get a t-stat=6.74, with n=7, the p-value under one-sided conditions is:

3. For which of the following hypothetical scenarios is a binomial distribution most acceptable?

4. True or False: For a given t-stat and degrees of freedom, two-sided p-values are larger than one-sided p-value

5. If a t-test is run and t=2.56, then it is appropriate to assume that a significant result was found at α=0.05 T/F

6. Suppose that an individual (Mr. Armstrong) spent eight days in the gym this month. Below is the length of time (in minutes) that he spent exercising on each visit. 62    34    50    40    58    48    38    60

Assuming that the IQR is calculated as 20, which of the following data points should be considered an outlier?

a) 50

b) 38

c) 60

d) 62

A company is currently manufactuing at only 60% of full practical capacity , in each of its two production Deppartment , due to a redution in the market share . the company is seeking to Launch a new product which it is hoped will recover some lost sales .

the estimaated direct cost of the new product , product X . are to be established from the following information :

Direct Material

every 100 unit of the product will require 30 Kg net of Material A . losses of the 10% of the material input are to be expected . Material A cost 5.40$ per Kg before discount , A quantity discount of 5% is given on all purchase if the monthly purchase quantity exceed 25000 kg . other materials are expected to cost 1.34$ unit of product X .

Direct labor ( per hundered unit )

Department one : 40 hours at 4.00$ per hour

Department two : 15 hours at 4.50$ per hour

Separated overhead absorption rate are established for each production Department .

Department 1 overhead are absorbed at 130% of Direct wages , which is based upon the expected overhead costs and usage of capacity if the product X is launched .

the rate in Department 2 is to be established as a rate per Direct labor hour also based on expected usage of capacity . the following annual figures for Departmnet 2 are based on full practical Capacity :

overhead : 5424000 $

Direct labor hours : 2200000 hour .

variable overhead in Department 1 are assessd at 40% of Direct wages and in Department 2 are 1980000 $ ( at full practical capacity ) .

non- production overhead are estimated as follows ( per units of product X) :

variable , 0.70$

Fixed , 1.95 $ .

the selling prices for the product X is expected to be 9.95 per unit , with annual sales of 2400000 units .

Required :

1- Determine the estimated cost per unit of product X

2- comment on the viability of product X

3- market reserach indicate that an alternative selling prices for the product x could be 9.45$per unit . at which prices annual sales would be expected to be 2900000 unit . Determie and comments briefly upon ,the the optimum selling price .

Jerry is the CEO of XYZ Motors, a large automotive company that produces affordable four-passenger cars for the typical lower-income class family. Each model is typically driven only five years. The model from two years ago, the XYZ-8, which sold for $8,000, has been involved in four car crashes where the cars, when struck from the rear when the right blinker signal is activated, causes the fuel in the gas tank to ignite. There have been no fatalities, but several injuries. Victims have begun organizing into a class action lawsuit against the company.

A technician at the company discovered the issue with the blinker circuit soon after the last explosion was analyzed. He wrote the following memo to his superiors:

“We can recall each of the XYZ-8 models that we have sold and replace the blinker circuit with a new lining. It is highly likely this will correct the issue. This will lead to a cost to the company of $20 per car for the repair and an estimated $50 in lost labor revenues, since we cannot charge for the refit. There are an estimated 500,000 cars that are affected. Estimated cost to the company of this refit program: $35 million. If we do not act soon, there could be an estimated two explosions per year.”

Soon after reading this memo, Jerry gives his accounting department a hypothetical scenario: what would be the cost of settling a class action lawsuit out of court for ten low-income families? Estimating the present value of typical future earnings from a blue collar worker, aged 18 to retirement age of 65, the accountant gives a figure of $600,000 per family, amounting to a total settlement of $6 million.

Jerry orders his legal counsel to proceed with settling the class action lawsuit and does not inform his board of directors about the technician’s memo. Discuss.

Mohammed is the CEO of ABC Motors, a large automotive company that produces affordable four-passenger cars for the typical lower-income class family. Each model is typically driven only five years. The model from two years ago, the ABC-8, which sold for $8,000, has been involved in four car crashes where the cars, when struck from the rear when the right blinker signal is activated, causes the fuel in the gas tank to ignite. There have been no fatalities, but several injuries. Victims have begun organizing into a class action lawsuit against the company.

A technician at the company discovered the issue with the blinker circuit soon after the last explosion was analyzed. He wrote the following memo to his superiors:

“We can recall each of the ABC-8 models that we have sold and replace the blinker circuit with a new lining. It is highly likely this will correct the issue. This will lead to a cost to the company of $20 per car for the repair and an estimated $50 in lost labor revenues, since we cannot charge for the refit. There are an estimated 500,000 cars that are affected. Estimated cost to the company of this refit program: $35 million. If we do not act soon, there could be an estimated two explosions per year.”

Soon after reading this memo, Mohammed gives his accounting department a hypothetical scenario: what would be the cost of settling a class action lawsuit out of court for ten low-income families? Estimating the present value of typical future earnings from a blue collar worker, aged 18 to retirement age of 65, the accountant gives a figure of $600,000 per family, amounting to a total settlement of $6 million.

Mohammed orders his legal counsel to proceed with settling the class action lawsuit and does not inform his board of directors about the technician’s memo. Discuss.

Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truck (not the least of which is that it runs). The new truck would cost $55,200. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,600. At the end of 8 years the company will sell the truck for an estimated $28,900. Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset’s estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company’s cost of capital is 8%.

Click here to view PV table.

(a)

Compute the cash payback period and net present value of the proposed investment. (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). Round answer for present value to 0 decimal places, e.g. 125. Round answer for Payback period to 1 decimal place, e.g. 10.5. For calculation purposes, use 5 decimal places as displayed in the factor table provided.)

Cash payback period ?

Net Present Value ?

Consider a situation where a company will earn $100 payable in one year if it completes
a contract. If the company completes the contract the debt holders are promised a
payment of $40 in one year. However, if the firm cannot complete the contract,
expected earnings in one year will be only $50. If this results then the bond holders will
only receive a payment of $15 (because of the costs of bankruptcy). The probability of
the firm completing the contract is 50%. If bondholders are fully aware of all this
information, what will they pay for the debt? Assume the rate of interest on the bonds
is 12%.
b. Explain the difference between direct and indirect bankruptcy costs. Give two examples
of each.
c. List and explain four practical considerations that firms take into account when
determining capital structure.