An engineering group needs to set up an assembly line to produce a new product. The following table describes the relationships between the activities, their predecessors, and the estimated activity times (in weeks) for this project. (10 points)

Activity	Immediate Predecessors)	Optimistic (Weeks)	Most Likely (Weeks)	Pessimistic (Weeks)
A	---	4	7	10
B	A	2	8	20
C	A	8	12	16
D	B	1	2	3
E	D, C	6	8	22
F	C	2	3	4
G	F	2	2	2
H	F	6	8	10
I	E, G, H	4	8	12
J	I	1	2	3

1. Using this data, develop a network for this project.
2. Identify the critical path and determine the expected time of completion of the project.
3. Prepare the detailed activity schedule for this project (i.e., provide a table showing EST, EFT, LST, LFT, Slack, critical path?).
4. Determine the probability that the project will be completed in:

1. Less than 42 weeks
2. Greater than 35 weeks
3. Between 42 to 44 weeks
4. Greater than 40 weeks

What is the difference between a pdf and a cdf? How are they related?

Explain this as you would to someone who wasn't in class when I did. Assume they have taken Calculus 2. You can use text, pictures, a video, a dance, a song... whatever you want. Be creative! Submit your explanation as one file (a pdf for text or image, a single video or audio file etc.)

In which stages of the data investigation cycle would you consider (a) level of measurement and (b) choice of research design? Explain. (open-ended question)

An electronics store has 4 branches in a large city. They are curious if sales in any particular department are different depending on location. They take a random sample of purchases throughout the 4 branches – the results are recorded below. Run an independence test for the data below at the 0.05 level of significance.

	Appliances	TV	Computers	Cameras	Cell Phones
Branch 1	54	28	61	24	81
Branch 2	44	21	55	23	92
Branch 3	49	18	49	30	72
Branch 4	51	29	65	29	102

What is the Test statistic (?2) and how is it done in excel?

Test the claim about the population mean,

muμ ,

at the given level of significance using the given sample statistics. Claim:

muμequals=4040 ;

alphaαequals=0.060.06 ;

sigmaσequals=3.873.87.

Sample statistics:

x overbarxequals=38.738.7 ,

nequals=7676

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0H0 :

muμequals=4040

Upper H Subscript aHa :

muμgreater than>4040

B.

Upper H 0H0 :

muμgreater than>4040

Upper H Subscript aHa :

muμequals=4040

C.

Upper H 0H0 :

muμequals=4040

Upper H Subscript aHa :

muμnot equals≠4040

D.

Upper H 0H0 :

muμequals=4040

Upper H Subscript aHa :

muμless than<4040

E.

Upper H 0H0 :

muμless than<4040

Upper H Subscript aHa :

muμequals=4040

F.

Upper H 0H0 :

muμnot equals≠4040

Upper H Subscript aHa :

muμequals=4040

Calculate the standardized test statistic.

The standardized test statistic is

nothing .

(Round to two decimal places as needed.)

Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice.

(Round to two decimal places as needed.)

A.

The critical values are

plus or minus±nothing .

B.

The critical value is

nothing .

Determine the outcome and conclusion of the test. Choose the correct answer below.

A.

Fail to rejectFail to reject

Upper H 0H0.

At the

66 %

significance level, there

is notis not

enough evidence to reject the claim.

B.

Fail to rejectFail to reject

Upper H 0H0.

At the

66 %

significance level, there

is notis not

enough evidence to support the claim.

C.

RejectReject

Upper H 0H0.

At the

66 %

significance level, there

isis

enough evidence to reject the claim.

D.

RejectReject

Upper H 0H0.

At the

66 %

significance level, there

isis

enough evidence to support the claim.

Suppose a company surveyed the work preferences and attitudes of 1,006 working adults spread over three generations: baby boomers, Generation X, and millennials. In one question, individuals were asked if they would leave their current job to make more money at another job. The sample data are summarized in the following table.

Leave Job for More Money?	Generation
	Baby Boomer	Generation X	Millennial
Yes	119	153	173
No	197	184	180

Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation.

State the null and alternative hypotheses.

H₀: Interest in leaving job for more money is not mutually exclusive of the employee generation.
H_a: Interest in leaving job for more money is mutually exclusive of the employee generation.

H₀: Interest in leaving job for more money is independent of the employee generation.
H_a: Interest in leaving job for more money is not independent of the employee generation.    

H₀: Interest in leaving job for more money is not independent of the employee generation.
H_a: Interest in leaving job for more money is independent of the employee generation.

H₀: Interest in leaving job for more money is mutually exclusive of the employee generation.
H_a: Interest in leaving job for more money is not mutually exclusive of the employee generation.

Find the value of the test statistic. (Round your answer to two decimal places.)

What is the p-value? (Round your answer to four decimal places.)

Using a 0.05 level of significance, what is your conclusion?

Do not reject H₀. We conclude that interest in leaving a job for more money is not independent of the employee generation.

Reject H₀. We conclude that interest in leaving a job for more money is not independent of the employee generation.     

Do not reject H₀. We cannot conclude that interest in leaving a job for more money is independent of the employee generation.

Reject H₀. We cannot conclude that interest in leaving a job for more money is independent of the employee generation.

1. Periodically, the county Water Department tests the drinking water of homeowners for contminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below.

lead (μg/L)	copper (mg/L)
0.9	0.268
5.9	0.21
5.7	0.781
3.7	0.835
2.3	0.313
3.3	0.65
3.1	0.52
3.3	0.305
4.5	0.252
2.4	0.397

(a)    Construct a 99% confidence interval for the mean lead level in water specimans of the subdevelopment.
≤μ≤

(b)    Construct a 99% confidence interval for the mean copper level in water specimans of the subdevelopment.  
≤μ≤

2.

The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below.

City	Number of papers	City	Number of papers
City 1	21	City 11	22
City 2	24	City 12	24
City 3	28	City 13	27
City 4	19	City 14	21
City 5	4	City 15	16
City 6	25	City 16	24
City 7	20	City 17	16
City 8	10	City 18	19
City 9	20	City 19	14
City 10	14	City 20	26

Construct a 97 % confidence interval for the average number of papers published in major world cities.

<μ<

List three variables, and how they are measured, for which you would use the mode as the most appropriate measure of central tendency.

Suppose you have a bag containing 2 red marbles, 3 white marbles, and 4 blue marbles.

a) if you draw 3 marbles simultaneously, what is the probability that you get one of each color?

b) If you draw 3 marbles one at a time, what Is the probability that you get one of each color?

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 100 minutes and a standard deviation of 20 minutes. Answer the following questions.

(a)What is the probability of completing the exam in one hour or less?

(b) What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes?

(c) Assume that the class has 90 students and that the examination period is 130 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time

QUESTION 17 If a sample average is found to be 62.7, and the margin of error is calculated to be 4.6, then the upper end of the confidence interval for mu would be ______

QUESTION 18 If a sample average is found to be 18, and the margin of error is calculated to be 0.06, then the lower end of the confidence interval for mu would be ______

QUESTION 19 Use your TI83 to find the upper end of the interval requested: A 95% confidence interval for the average height of the adult American male if a sample of 25 such males have an average height of 56.9 inches with a sample deviation of 3.4 inches. The population of all such heights is normally distributed round to the nearest hundredth of an inch

QUESTION 20 Use your TI83 to find the upper end of the interval requested: A 99% confidence interval for the average weight of a standard box of Frosted Flakes if sample of 66 such boxes has an average weight of 16.8 ounces with a population deviation of 0.4 ounces round to the nearest hundredth of an ounce

Jake Yum's new computer program "Learn to be a Great Cook" is selling off the shelves, and Jake wants to know whether there is a gender difference in the cooking quality of individuals who use the software. So Jake asked 10 males and 20 females to spend 20 hours over a month to go through the program. Jake then asked each participant to cook a dinner for him that includes a meat, 2 veggies, a bread, a dessert, and an appropriate wine. All meals were subsequently ranked, and the sum of ranks for males equaled 80, while the sum of ranks for females equaled 385. Use a Mann-Whitney U test, an alpha of .05, and two tailed. (Note: include hypotheses, detailed calculations, critical value, and outcome statement in sentence form).

In the box below, provide the following information:

Null Hypothesis in sentence form (1 point):

Alternative Hypothesis in sentence form (1 point):  
Critical Value(s) (2 points):

Calculations (4 points): Note: the more detail you provide, the more partial credit that I can give you if you make a mistake.

Outcome (determination of significance or not, effect size if appropriate, and what this reflects in everyday language, 2 points)

Case Study 3: Credit Data, Inc. Credit Data, Inc., has been monitoring the amount of time its bill collectors spend on calls that produce contacts with consumers. Management is interested in the distribution of time a collector spends on each call in which they initiate contact, inform a consumer about an outstanding debt, discuss a payment plan, and receive payments by phone. Credit Data is mostly interested in how quickly a collector can initiate and end a conversation to move on to the next call. For employees of Credit Data, time is money in the sense that one account may require one call and 2 minutes to collect, whereas another account may take five calls and 1 0 minutes per call to collect. The company has discovered that the time collectors spend talking to consumers about accounts is approximated by a normal distribution with a mean of 8 minutes and a standard deviation of 2.5 minutes. The managers believe that the mean is too high and should be reduced by more efficient phone call methods. Specifically, they wish to have no more than 1 0% of all calls require more than 1 0.5 minutes. Questions: Assuming that training can affect the average time but not the standard deviation, the managers are interested in knowing to what level the mean call time needs to be reduced in order to meet the 1 0% requirement. Assuming that the standard deviation can be affected by training but the mean time will remain at 8 minutes, to what level must the standard deviation be reduced i order to meet the 1 0% requirement? If nothing is done, what percent of all calls can be expected to require more than 10.5 minutes?

WRITE

Brief Introduction

• Research methodology

• Research findings, discussion and conclusion

• Appendix contains the output used in your research

• With normal distribution sketch the graph and shade the region

Prove that through a point P there are exactly 3 lines parallel to p, the polar of P.

Lawyer	Nurse	Teacher	Control
8	6	9	8
5	7	6	7
7	6	8	6
7	8	8	7
4	9	7	9

A researcher is interested in whether the likeability of a crying woman is affected by the viewer’s knowledge of the woman’s occupation. Twenty participants were shown a video of a woman crying and were asked to rate her likeability on a scale from 1 (not very likable) to 10 (highly likable). Prior to viewing the video, participants were told that the woman was either a lawyer, a nurse, a teacher, or they were not told anything about her occupation (control condition).

(a) State the null and research hypotheses. (b) Calculate the appropriate test statistic. (c) Interpret the test statistics at an alpha level of .05.

**Please show all work and explain!! Thank you!!