When a virus is placed on an oak leaf, small lesions appear on the leaf. Researchers believe different strains of the virus will produce different effects. They wished to test this idea by comparing the mean number of lesions produced by two different strains of the virus. In the experiment, Strain 1 (VS1) was applied to 10 oak leaves and Strain 2 (VS2) was applied to another 10 oak leaves. The lesions that appear on each leaf were then counted. The raw data are shown below:

Strain 1 18 21 17 22 20 20 20 18 19 17

Strain 2 11 18 10 14 17 14 10 14 17 11

a. Symbolically state the null and alternate hypotheses.  

b. Assuming the above data were normally distributed, what is the appropriate test for this experiment?

i. F-test ii. Independent t-test iii. Z-test iv. F-test then paired t-test v. F-test then independent t-test vi. F-test then z-test vii. Paired t-test

c. What is the mean number of lesions for each group?

d. Symbolically state the null and alternate hypotheses for the F-test (use the appropriate symbols)

e. If the variance for VS1 is 2.84 and the variance for VS2 is 9.15, calculate the F statistic.  

f. Given α = 0.05, state the critical value for the F statistic and whether you would accept or reject the F-test null-hypothesis?

g. Regarding the ensuing t-test, is this 1- or 2-tails and what direction is it if 1- tailed?  

h. If the pooled variance (s2 p) is 6.0, calculate the test statistic for the t-test.

i. What are the degrees of freedom for this test? Given α = 0.05, would you accept or reject the t-test null hypothesis? Why?

You are given the following information. Please use it for the following

Stocks W and X had 2 for 1 splits on December 31, 2016. The information in the table

for 2016 is pre-split.

3.4 Calculate the price weighted series for Dec 31, 2016, prior to the splits.

3.5 Calculate the price weighted series for Dec 31, 2016, after the splits.

3.6 Calculate the price weighted series for Dec 31, 2017.

a.

Calculate the value weighted index for Dec 31, 2016, prior to the splits. Assume a base

index value of 100. The base year is Dec 31, 2016.

b.

Calculate the value weighted index for Dec 31, 2016, after the splits. Assume a base index

value of 100. The base year is Dec 31, 2016.

3.8 Calculate the value weighted index for Dec 31, 2017. Assume a base index value of

100. The base year is Dec 31, 2016.

3.9

a.

Calculate the unweighted index for Dec 31, 2016, prior to the splits. Assume a base index

value of 100. The base year is Dec 31, 2016.

b.

Calculate the unweighted index for Dec 31, 2016, after the splits. Assume a base index

value of 100. The base year is Dec 31, 2016.

3.10 Calculate the unweighted index (geometric mean) for Dec 31, 2017. Assume a base

index value of 100. The base year is Dec 31, 2016.

2. Let BT Node be the class we often use for binary-tree nodes. Write the following recursive methods: (a) numLeaves: a method that takes a BT Node T as parameter and returns the number of leaves in the tree rooted at T. (b) isEven: a boolean method that takes a BT Node T and checks whether its tree is strictly binary: every node in the tree has an even number of children.

3. Suppose you want to improve Merge Sort by first applying Heap Sort to a number of consecutive subarrays. Given an array A, your algorithm subdivides A into subarrays A1, A2 · · · Ak, where k is some power of 2, and applies Heap Sort on each subarray Ai alone. The algorithm proceeds into merging pairs of consecutive subarrays until the array is sorted. For example, if k = 4, you first apply Heap Sort to sort each Ai and then you merge A1 with A2 and A3 with A4, then you apply the merge function once to get the sorted array. (a) Does the proposed algorithm improve the asymptotic running time of Merge Sort when k = 2? How about the case k = log n (or a power of 2 that is closest to log n)? Justify. (b) Is the proposed algorithm stable? Is it in-place? Prove your answers.

4. Write a clear pseudocode for Breadth-First Search (BFS) in undirected graphs. How would you modify your code to compute the number of connected components in the input graph? Give details about the used data structures and the running time.

5. Write a clear pseudocode for Depth-First Search (DFS) in graphs. How would you modify your code to check whether the graph is acyclic?

6. The centrality of a vertex v in an undirected graph G is measured as follows: c(v) = n1(v) + n2(v) + · · · nd(v) where ni(v) is the number of vertices at distance i from v (e.g., n1(v) is the number of neighbors of v) and d is the maximum distance between v and a vertex of the same connected component as v in G (so d = 0 if v is isolated). Write the pseudocode of a most-efficient algorithm that computes the centrality of a vertex v in a given graph G. What is the running time of your algorithm? Prove your answer.

Joshua company had the following information in 2016.

Accts Rec 12/31/16.....$15000

Allowance for uncollected account 12/31/16 (before adjustment).....$950

credit service revenue during 2016.....$45000

Cash service revenue during 2016.....$15000

Collections from customers on account during 2016.......$45000

If uncollectible accounts are determined by the​ aging-of-receivables method to be $ 1 240​, the uncollectible account expense for 2016 would be $ 290. Using the​ aging-of-receivables method, the balance of the Allowance account after the adjusting entry at​ year-end 2016 would be

An infinitely long solid insulating cylinder of radius a = 5.6 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 25 μC/m³. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.5 cm, and outer radius c = 17.5 cm. The conducting shell has a linear charge density λ = -0.41μC/m.

1. What is V(P) – V(R), the potential difference between points P and R? Point P is located at (x,y) = (42 cm, 42 cm).

2. What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator?

3. Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator? V(a) < 0 V(a) = 0 V(a) > 0

4. The charge density of the insulating cylinder is now changed to a new value, ρ’ and it is found that the electric field at point P is now zero. What is the value of ρ’?

Ms. V, a wealthy art collector in Country W, is interested in buying a rare painting from Mr. Y in Country Z. Both parties agree that the price is to be determined by an independent appraiser. V informs Y that she will send her agent, X, with a check to collect the painting. V draws a check payable to Y but leaves the amount blank. She gives the check to X and instructs him to deliver it to Y. Without authority, X fills in the amount for $1 million and presents it to Y, who has, in the meantime, received the appraisal. The appraised price is $750,000. X tells Y that Ms. V had made the check out for $1 million to ensure that it will exceed the appraisal price, and that V has instructed X to return with the painting and the difference in cash. Y gives X the painting and $250,000. X delivers the painting but then disappears with the $250,000 in cash. When V discovers what has happened, she stops payment on her check and offers to pay Y $750,000 for the painting. Y insists that V must pay the check's full face value of $1 million. Is Y correct? Why or why not?

South Sea Baubles has the following (incomplete) balance sheet and income statement.

a&b. What is shareholders’ equity in 2015 and 2016? (Enter your answers in millions.)

a. 2015?

b. 2016?

c&d. What is net working capital in 2015 and 2016? (Enter your answers in millions.)

C. 2015?

d. 2016?

e. What are taxes paid in 2016? Assume the firm pays taxes equal to 35% of taxable income. (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

f. What is cash provided by operations during 2016? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

g. Net fixed assets increased from $860 million to $960 million during 2016. What must have been South Sea’s gross investment in fixed assets during 2016? (Enter your answer in millions.)

Derive the following statement

"T(temperatue)-V(volume) and P(pressure)-V(volume) relationship in the adiabatic changes"

Prepare a comprehensive and thumbnail brief of each of the following opinions:

United States v. Kovel

Brown v. Hammond

[system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem,

u (t) = 2u (t) + 2v (t) + 4

V (t) = u (t) + 3v (t) – 1

u (0) = 2

v (0) = -1

[ find, u (t) and v (t) ].