1. A recent industry report indicated that 60% of drivers involved in a residential accident will be in at least one other traffic accident in the last 3 years. An advisory group decided to investigate this claim, believing it was too large. A sample of 400 traffic accidents this year showed 200 persons were also involved in another accident with in the last 3 years. Use the 0.10 significance level.
   1. Why can we use z as the test statistic?
   2. State the null and alternate hypothesis
   3. Show the decision rule graphically.
   4. Compute the value of z and state your decision regarding the null hypothesis.
   5. Determine and interpret the p value
2. A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the 0.10 significance level, is there a relationship between job pressure and age

Degrees of Job Pressure

age low medium high

less than 25 67 61 60

25 up to 40 43 40 46

40 up to 60 63 52 62

60 up to older 32 22 27

***C PROGRAMMING***

Roman Numerals:

I           =          1

V          =          5

X          =        10

L          =        50

C          =      100

D          =      500

M         =     1000

Use % for modulus division.

Step 1

• Write a program that will and display 3 menu options. The options are:

1. Display the first 50 Roman Numerals.
2. Enter a number to be converted to Roman Numerals.
3. Exit.

• Prompt the user for a selection: A, B or C.

• If the user selects A then print 2 Columns of numbers on the screen. The leftmost column will display the roman numerals for numbers 1 – 25 and the rightmost column will display the roman numerals for number 26 – 50.

For example:

Number/Numeral                                                            Number/Numeral

1 = I                                                                              26 = XXVI

2 = II                                                                             27 = XXVII

3 = III                                                                            28 = XXVIII

4 = IV                                                                           29 = XXIX

5 = V                                                                            30 = XXX

.

.

.

25 = XXV                                                                      50 = L

Press any key to continue?

• If the user selects B then prompt the user for a number between 1 and 3999 and then display the roman numeral. Only allow positive integers between 1 and 3999. Loop until a valid number is entered

• If the user selects C then end the program.

Text book: Essentials of Biostatistics in Public Health 3 ed. by Lisa Sullivan.

Instructor provided problem: An observational study is conducted to compare experiences of men and women between the ages of 50-59 years following coronary artery bypass surgery. Participants undergo the surgery and are followed until the time of death, until they are lost to follow-up or up to 30 years, whichever comes first. The following table details the experiences of participating men and women. The data below are years of death or years of last contact for men and women. Estimate the Estimate the survival functions for each treatment group using the Kaplan-Meier approach. Test if there is a significant difference in survival between treatment groups using the log rank test and a 5% level of significance.

Use the probability distribution to find probabilities in parts​ (a) through​ (c).

The probability distribution of number of dogs per household in a small town

​(a) Find the probability of randomly selecting a household that has fewer than two dogs.

0.8740.874  

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

​(b) Find the probability of randomly selecting a household that has at least one dog.

0.3270.327

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

​(c) Find the probability of randomly selecting a household that has between one and three​ dogs, inclusive.

nothing

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

Currently, the term structure is as follows: One-year bonds yield 9.50%, two-year zero-coupon bonds yield 10.50%, three-year and longer maturity zero-coupon bonds all yield 11.50%. You are choosing between one, two, and three-year maturity bonds all paying annual coupons of 10.50%. You strongly believe that at year-end the yield curve will be flat at 11.50%.

a. Calculate the one year total rate of return for the three bonds. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

b. Which bond you would buy?

• One-year bond

• Two-year bond

• Three-year bond

Currently, the term structure is as follows: One-year bonds yield 9.50%, two-year zero-coupon bonds yield 10.50%, three-year and longer maturity zero-coupon bonds all yield 11.50%. You are choosing between one, two, and three-year maturity bonds all paying annual coupons of 10.50%. You strongly believe that at year-end the yield curve will be flat at 11.50%.

a. Calculate the one year total rate of return for the three bonds. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

b. Which bond you would buy?

• One-year bond

• Two-year bond

• Three-year bond

Question 4:

AB-25 is a top-selling electronic product. The company divides its customers into two groups: new customers and upgrade customers. Although the same physical product is provided to each customer group, sizeable differences exist in selling prices and variable marketing costs:

The fixed costs of AB-25 are $16,000,000. The planned sales mix in units is 80% new customers and 20% upgrade customers.

Required:

1. What is the break-even point in units for AB-25, assuming that the planned 80%/20% sales mix is attained?
2. If the sales mix is attained, what is the profit when 150 000 units are sold?
3. Show how the break-even point in units changes with the following customer mixes (a and b):

a. new 30%/upgrade 70%                                                                               

b.    new 60%/upgrade 40%

c.    Comparing the break-even points in requirements a and b, is it always better for a company to choose the sales mix that yields the lower break-even point? Explain.

1. Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5.

a. What is the mean of the ¯xx¯ sampling distribution?

b. What is the standard deviation of the ¯xx¯ sampling distribution?

c. What is the approximate probability that ¯xx¯ will be within 0.5 of the population mean μμ?

d. What is the approximate probability that ¯xx¯ will differ from μμ by more than 0.7?

2. A Food Marketing Institute found that 45% of households spend more than $125 a week on groceries. Assume the population proportion is 0.45 and a simple random sample of 190 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.23 and 0.49?

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

3. Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 193 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.31?

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

Always is a local restaurant that’s really famous in the Bekaa. It offers pizzas, burgers, salads, platters and sandwiches. Customers are offered a choice between dine-in experiences or take away services. Staff is really friendly, food preparation is highly systematic and the kitchen is well arranged and super clean. The business has been operating for almost 15 years and it has been really successful, even when it got surrounded by local and global competitors (Mcdo, KFC, and others). Customers rarely find an empty seat at peak lunch and dinner times. Mr. Moutran, Always’ owner, hired your team as business analysts. During the first meeting, he informed you that he was wishing to expand overseas, preferably in other Arab regions, but that he was open to any other suggestions. He made it clear that he had no experience abroad and that it was your duty to devise a plan covering every single detail of the expansion.

what are all the Brand and product decisions to be taken, concerning the packaging, labeling, global product strategy (important), the Product/Brand Matrix, naming, brand image and equity. i chose to open the place in Egypt.