The data in Table B represents the times (in seconds) for men of three different ages (40, 50 and 60) in each of three different fitness classes (1, 2 and 3) to run a 2 km course. For each runner, age is recorded in the first column, fitness category is recorded in the second column, and running time is recorded in the third.

            Two men in each of the nine categories ran the course. You should be interested in determining whether age and/or fitness affect running time. Each data point can be classified according to age of the runner or according to fitness of the runner. The data therefore requires a two‑way analysis of variance. It is possible that differences among ages of runner will depend upon the fitness categories of those two runners. The model for the analysis should include an interaction term.

                                                                        NOTE

In analysis of variance, the null hypothesis should be rejected whenever the calculated F‑statistic is greater than the critical value for a chosen significance level and appropriate numerator and denominator degrees of freedom. Equivalently, the null hypothesis should be rejected whenever the computed p‑value is less than the chosen significance level. Use α = 0.01 (significance level =1 %) and answer the following two questions.

n Prepare a table of mean running times and answer the following three questions.

                                                                                                                                      {Example 25}

Define the following function f(n) = 5⁽²^n)-(2^(n-1)), n ≥ 1. Write a recursive definition for the function f(n)?
Consider the following recurrence: a_n= 2a_n-1 + 3 (where a₁ = 1). Compute the values of a_n for n ≤ 5. Find a solution for the recurrence definition and validate its correctness.
Consider the following recurrence: a_n=2a_n-1 +a_n-1a_n-2 (where a1 = 1). Compute the values of an for n ≤ 5.

Consider the hypothesis test below.

H ₀:  p ₁ -  p ₂  0  
H _a:  p ₁ -  p ₂ > 0

The following results are for independent samples taken from the two populations.

Use pooled estimator of p.

1. What is the value of the test statistic (to 2 decimals)?  
   
   
2. What is the  p-value (to 4 decimals)?  
   
   
3. With   = .05, what is your hypothesis testing conclusion?

write an algorithm program using python or C++ where a0=1, a1=2 an=an-1*an-2, find an ,also a5=?

Each of the four independent situations below describes a sales-type lease in which annual lease payments of $19,500 are payable at the beginning of each year. Each is a finance lease for the lessee. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

  Determine the following amounts at the beginning of the lease: (Round your final answers to nearest whole dollar.)

The following amortization and interest schedule is for the issuance of 10-year bonds by Marigold Corporation on January 1, 2020, and the subsequent interest payments and charges. The company’s year end is December 31 and it prepares its financial statements yearly.

Determine the stated interest rate and the effective interest rate. (Round answers to 0 decimal places, e.g. 15%.)

eTextbook and Media

List of Accounts

Based on the schedule above, prepare the journal entry to record the issuance of the bonds on January 1, 2020. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)

eTextbook and Media

List of Accounts

Based on the schedule above, prepare the journal entry to reflect the bond transactions and accruals for 2020. (Interest is paid January 1.) (Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)

eTextbook and Media

List of Accounts

Based on the schedule above, prepare the journal entries to reflect the bond transactions and accruals for 2028. Marigold Corporation does not use reversing entries. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Record journal entries in the order presented in the problem.)

inserting a node after given node.

DLL::DLL(int x){ // constructor, initializes a list with one new node with data x
   DNode *n = new DNode (x);
   first = n;
   last = n;
   size=1;
}

DNode::DNode( int x){
   data = x;
   next = NULL;
   prev = NULL;
}

void DLL::addFirst(int x) {
   DNode* tmp = new DNode(x);
   first = tmp;
   last = first;
}

void DLL::insertAt(int ind, int x) {
   int i = 0;
   DNode *tmp = first;
   DNode *tmp2;
   while(i < ind && tmp != NULL) {
       i += 1;
       tmp2 = tmp;
       tmp = tmp->next;
   }

   if (tmp != NULL) {
       DNode *tmp3 = new DNode(x);
       tmp3->next = tmp;
       tmp->prev = tmp3;
       tmp2->next = tmp3;
       tmp3->prev = tmp2;
   }

}

command to get out put:

codelist.addFirst(0);
    codelist.printList();
    codelist.insertAt(1,1);
    codelist.printList();
    codelist.insertAt(2,3);
    codelist.printList();
    codelist.insertAt(2,2);
    codelist.printList();
    codelist.push(4);
    codelist.printList();
    codelist.insertAt(2,42);
    codelist.printList();

desired output:

0,

0, 1,

0, 1, 3,

0, 1, 2, 3,

0, 1, 2, 3, 4,

0, 1, 42, 2, 3, 4,

actual output:

0,
0,
0,
0,
0, 4,
0, 4,

An experimental surgical procedure is being studied as an alternative to the old method. Both methods are considered safe. Five surgeons perform the operation on two patients matched by age, sex, and other relevant factors, with the results shown. The time to complete the surgery (in minutes) is recorded.

(a-1) Calculate the difference between the new and the old ways for the data given below. Use α = .025. (Negative values should be indicated by a minus sign.)

(a-2) Calculate the mean and standard deviation for the difference. (Round your mean answer to 1 decimal place and standard deviation answer to 4 decimal places.)
Mean is ___________

Standard Deviation is ____________

(a-3) Choose the right option for H₀: μ_d ≤ 0; H₁: μ_d> 0.

a. Reject if t_calc > 2.776445105

b. Reject if t_calc < 2.776445105

(a-4) Calculate the value of t_calc. (Round your answer to 4 decimal places.)

  

(b-1) Is the decision close? (Round your answer to 4 decimal places.)

The decision is ___________

a. close

b. not close  .

The p-value is ____________

(b-2) The new way is better than the old.
  

a. No

b. Yes

(b-3) The difference is significant.
  

a. No

b. Yes

QUESTION 11

1. Make sure your calculator settings are at 4 decimals. Remember to clear out the cash flow register for each problem. Thanks for a great semester :) (mark true)

   True

   False

10 points (Extra Credit)   

QUESTION 12

1. Which of the following are true regarding the Market Risk Premium

   		A. it is the intercept of the security market line
   		B. It is the difference between the market rate of return and the risk free rate
   		C. It tells us the extent to which a particular investment's returns vary with the market portfolio
   		A and C
   		B and C
   		A and B
   		A, B, and C

10 points   

QUESTION 13

1. A share of common stock just paid a dividend of $2.23.  If the expected long-run growth rate for this stock is 5% and if the beta for the stock is 1.25, what is the value of the stock? Assume the risk free rate is 3% and the market rate of return is 12%.  

   		24.10
   		25.31
   		7.31
   		7.26
   		21.37
   		33.45
   		31.85

10 points   

QUESTION 14

1. Sort the following from smallest(1) to largest(4)

         -       1.       2.       3.       4.      

   cost of new common equity issuance

   
         -       1.       2.       3.       4.      

   cost of preferred stock

   
         -       1.       2.       3.       4.      

   after-tax cost of debt

   
         -       1.       2.       3.       4.      

   cost of retained earnings

10 points   

QUESTION 15

1. The market value of any real or financial asset, including stocks, bonds, or art work purchased in hope of selling it at a profit, may be estimated by determining future cash flows and then discounting them back to the present.

   True

   False