In answering the question(s), make sure to write down the following 7 steps.

Step 1: Establish null and alternate hypotheses State the null and alternative hypothesis (as a sentence and formula).

Step 2: Calculate the degrees of freedom

Step 3: Calculate t _critical using critical t – table

Step 4: Calculate the Sum of Square deviation (SS_D)

Step 5: Calculate t _obtained

Step 6: Specify the critical value and the obtained value on a t-distribution curve

Step 7: Decision and Conclusion Write a clear and concise conclusion.

A researcher is interested in whether gender predicts the type of costume people would wear to an upcoming party. He asks 6 guys and 6 girls: How likely would you be to wear a “Creepy Clown” costume to the upcoming Halloween party? (1 = very unlikely to 7 = very likely). The data are shown below.

Guys: 4 6 4 3 6 7

Girls: 2 5 4 1 2 3

1. Use alpha = .01 to see whether gender impacts willingness to wear a Creepy Clown costume. (Note: You need to write down all the 7 steps.)

2. Use alpha = .01 to see whether guys are more willing than girls to a Creepy Clown costume. (Note: You only need to write down the steps that are different from part (1).)

3. Use alpha = .05 to see whether guys are more willing than girls to a Creepy Clown costume. (Note: You only need to write down the steps that are different from part (1).)

The mode of a set of numbers is the number that occurs most frequently in the set. For example, the set {4, 3, 6, 4, 3, 4, 1} has mode 4.

(a) (10%) Give an efficient, in-place algorithm to compute the mode of a set. Give the running time of your algorithm as a function of number of elements in the set, n. Show all work!

(b) (10%) Now suppose we know that there exists an element that occurs at least (n/2) + 1 times in the set, where n is the number of elements in the set. Give an O(n) algorithm to find the mode of this set.

Find the limits, if they exist, or type DNE for any which do not exist.

lim(x,y)→(0,0) (3x^2/(5x^2+4y^2))

1) Along the xx-axis:
2) Along the yy-axis:
3) Along the line y=mxy=mx :
4) The limit is:

DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.

Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:

Required:

1-a. Compute the throughput time for each month. (Round your answers to 1 decimal place.)

1-b. Compute the manufacturing cycle efficiency (MCE) for each month. (Round your answers to 1 decimal place.)

1-c. Compute the delivery cycle time for each month. (Round your answers to 1 decimal place.)

3-a. Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

3-b. Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

•U.S. produced John Deere tractor, price $25,000 in t-1 and t-2.

•Italian produced designer shoes, price €350 in t-1 and t-2.

•Dollars per Euro:

•If in t-1 $1.0741: €1 then $1 = € 1/1.0741 In t1, $1 = € 0.931012    

•t-2 $1.1385: €1                                                In t2, $1 = € 0.8783487

1.What is the Euro price of the tractor in t-1?

In t-2?

1.What is the U.S. dollar price of the Italian shoes in t-1?

In t-2?

1.Draw a demand curve for U.S. tractors illustrating the effect of the change in exchange rates. Only draw the demand curve.

2.Draw a demand curve for Italian shoes illustrating the effect of the change in exchange rates. Only draw the demand curve.

3.All else remaining equal, what will happen to Italian GDP?* Why?

4.All else remaining equal, what will happen to U.S. GDP?* Why?

given an array A = {a₁, a₂, ... , a_n}
find the number of the continuous subarrays of gcd one
continuous subarrays of gcd one means gcd(a_i, a_i+1, ... , a_j) = 1
for example {2, 4, 6, 3} or {1} are continuous subarrays of gcd one

1. 5. Scenario: A survey is conducted to determine the average number of people living in a household in Scranton. An interviewer asks a sample of 16 Scranton shoppers, selected randomly in the Viewmont Mall (no two living in the same household), how many people live in their household. The results are as follows: 1        1      1      2     2     2      2     2   2     3     3     3     4     4    5     6

Assume the distribution of the number in all households is approximately normal. Do each of the following:

1. Determine the mean and standard deviation for the sample data from the survey.

x̄ = ______________                                    s = __________________

2. Using the sample results in Part (a), find a 95% confidence interval for the mean number of members in all Scranton households.

                We can be _____________________________________________________________________

(c ) Given that the census bureau finds the standard deviation of all households sizes in Scranton is 1.28, find the number of sample items required for a 99% confidence level for the mean of the population to be accurate within a margin of error of 0.1.

n = _______________

Here are the returns on two stocks.

Required:

a-1. Calculate the variance and standard deviation of each stock.

a-2. Which stock is riskier if held on its own?

b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks.

c. Is the variance more or less than halfway between the variance of the two individual stocks?

Get the file “HW4Short.java”. Compile it and look at its bytecode. [TO DO:] Write a step-by-step description of the bytecode, imitating the style of my explanation in problem 1.

Explantionin promblem1:

0 iconst_0 push constant 0 onto the stack

1 istore_1 pop stack and store in location 1 (sum = 0)

2 iconst_0 push constant 0 onto the stack

3 istore_2 pop stack and store in location 2 (i = 0)

4 iload_2 push contents of location 2 onto stack (i)

5 bipush 10 push constant 10 onto stack

7 if_icmpge 20 pop two elements and compare with ">=" (if (i >= 10)) if test is true, go to line 20

10 iload_1 [test was false:] push sum onto stack

11 iload_2 push i onto stack

12 iadd pop two elements, add, push result onto stack 1

13 istore_1 pop stack and store in sum (sum = sum + i)

14 iinc 2 by 1 increment location 2 by 1 (i=i+1)

17 goto 4 go back to line 4 and repeat the loop

20 return

I am most interested in seeing how the bytecode demonstrates “short circuit evaluation” of the boolean “&&” operator, so be careful when explaining those parts. Place the bytecode, along with your step-by-step explanation, in a text document named q2.txt, including your name at the top. Use the following format:

0 bipush 10 push the constant 10 onto the stack

2 istore_1 pop the 10 and save it in i

3 bipush 20 push 20 onto the stack

5 istore_2 ... etc. ...

6 iconst_m1

7 istore_3 ...

etc. ...

Project management

Expediting a Project

Consider the project shown above.

a)Draw the network diagram and find the critical path, time and cost for an all-normal level of project activity.

b)Calculate the crash cost-per-week assuming that all activities may be partially crashed.

c)Which tasks should be crashed to do the project in 21 weeks? What is the project cost?

d)Calculate the shortest delivery time for the project. What is the cost?