A strong linear relationship (r = 0.97) exists between the two variables x and y in the table

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1- A strong linear relationship (r = 0.97) exists between the two variables x and y in the table. The equation of the least squares line is ŷ = 15.75 – 0.55x. For what values of x should we use this equation to make predictions?

 

x 5 7 8 10 11 12

y 5.5 8 8 9 10 11

 

A) Any positive value of x

B) Values of x less than or equal to 12

C) Values of x less than or equal to 5

D) Values of x between 5 and 12 inclusive

 

2-

A survey of ages of children at a skate park produced the following results summarized in the frequency table:

 

 

 

Age Frequency

10 2

11 4

12 6

14 8

20 5

How many children were in the skate park? 

 

What is the median age of children in the skate park? 

 

 

What is the modal (mode) age of the children in the skate park? 

 

 

What is the range value of the ages of children in the skate park? 

 

 

If a birthday party of 5 children who were 10 years old came into the park, which of the following statistics would change? Type yes, or no.

 

median ?

 

 

mode ?

 

 

range ?

 

What percent of children in the skate park were less than 12 years of age? %

 

 

3- In two statistics classes, the same final exam was given and yielded the following results:

 

10:00am class: x-bar = 72, s = 10

 

11:00am class: x-bar = 67, s = 6

 

John, in the 10:00am class, scored 62 and Paul, in the 11:00am class, also scored 62.

 

Calculate John’s z-score, round to 3 decimal places: (enter as 0.xxx)

 

 

Calculate Paul’s z-score, round to 3 decimal places: (enter as 0.xxx)

 

 

Did John or Paul have a better relative standing in his respective class? 

 

· One thousand people are enrolled in a 10-year cohort study. At the start of the study,

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·         One thousand people are enrolled in a 10-year cohort study. At the start of the study, 100 have diagnosed CVD. Over the course of the study, 80 people who were free of CVD at baseline develop CVD.

 

1. What is the cumulative incidence of CVD over 10 years?

 

Cumulative Incidence 10 Years =

 

2. What is prevalence of CVD at baseline?

 

Prevalence Baseline =

 

3. What is the prevalence of CVD at 10 years?

 

Prevalence 10 Years =

 

 

·         A study is deigned to investigate whether there is a difference in response to various treatments in patients with rheumatoid arthritis. The outcome is a patients self-reported effect of treatment. The data are shown above. Are symptoms independent of treatment? Conduct a Chi Square test at a 5% level of significance.

 

Symptoms worsened

No effect

Symptoms improved

total

Treament1

 

22

14

14

50

Treatment 2

14

15

21

50

Treatment 3

9

12

29

50

1. df=

2. Critical value

3. Computed statistic

Based on comparing the computed statistics to the critical value which of the following are true?

  1. There is significant evidence , alpha 0=0.05, to show that treatment and response are not independent
  2. There is not significant evidence, alph=0.05, to show that treatment and response are not independent
  3. There is significant evidence, alpha =0.05, to show that treatment and response are independent
  4. B and c

 

Compute the test statistic and the p-value for the following three cases.

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Consider the following hypothesis test.
H₀: π ≥ 0.55
H₁: π < 0.55
Compute the test statistic and the p-value for the following three cases.
14 n = 300 p̅ = 0.51 α = 0.05
a p-value = 0.0823 Conclude that the population proportion is less than 0.55.
b p-value = 0.0823 Conclude that the population proportion is not less than 0.55.
c p-value = 0.0411 Conclude that the population proportion is not less than 0.55.
d p-value = 0.0411 Conclude that the population proportion is less than 0.55.

15 n = 300 p̅ = 0.51 α = 0.10
a p-value = 0.0411 Conclude that the population proportion is not less than 0.55.
b p-value = 0.0411 Conclude that the population proportion is less than 0.55.
c p-value = 0.0823 Conclude that the population proportion is not less than 0.55.
d p-value = 0.0823 Conclude that the population proportion is less than 0.55.

16 n = 900 ∑x = 468
a p-value = 0.0703 Reject H₀ at α = 0.10, but do not reject at α = 0.05.
b p-value = 0.0703 Reject H₀ at α = 0.05, but do not reject at α = 0.10.
c p-value = 0.0351 Reject H₀ at α = 0.05, but do not reject at α = 0.01.
d p-value = 0.0351 Reject H₀ at α = 0.10, but do not reject at α = 0.05.

Harris Mutual Fund invests primarily in technology stocks.

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Harris Mutual Fund invests primarily in technology stocks. The price of the fund at theend of each month for the 12 months of 2009 are:

Month                                     Mutual Fund price

Jan                                                  19.39

Feb                                                  18.96

mar                                                 18.20

apr                                                   17.89

may                                                 18.43

june                                                 19.98

july                                                   19.51

aug                                                   20.63

sept                                                 19.78

oct                                                   21.25

nov                                                   21.18

dec                                                  22.14

 

A. Find the forecast value of the mutual fund for the month of June, using a naive model. The value for December 2008 was 19.00

B. Forecast the mutual fund price for January 2010 using a 3 period moving average model.

ROUND ANSWERS TO 2 DECIMAL PLACES FOR BOTH PROBLEMS.

 

Please show all work for this quiz and explain your derivations.

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Please show all work for this quiz and explain your derivations. Lack of step-by-step work will not be credited. Partial credit will be given for step-by-step description of answer.


In your own words, describe the meaning of average cost. You normally buy a crate of wine for $75. One crate has 6 bottles of wine. After a month, the store clerk informs you that the same crate of wine now costs $82. However, there are 7 bottles in a crate. To the nearest cent, determine the average cost of the crate from last month to now. 

In your own words, describe the meaning of marginal cost. You normally buy a crate of wine for $75. One crate has 6 bottles of wine. After a month, the store clerk informs you that the same crate of wine now costs $82. However, there are 7 bottles in a crate. To the nearest cent, determine the marginal cost for one additional bottle of wine now. 

In your own words, describe the meaning of unit travel. When traveling on a Greyhound bus, without intervention or obstruction, it is important to determine the unit travel time. If you leave Cleveland in a bus full of 24 passengers and arrive Cincinnati in 3 hours, what will be the average unit travel time in person minutes? 

What is CPI? Given that the CPI trends for travel time for 2010 and this year are 183.42 and 191.35 respectively, calculate the current value of travel time if it was $24.50 per hour in 2010. 

After 17 vehicular accidents two years ago in a given intersection, the mayor of Boulder proposed to reduce the number of crashes by making improvements at the intersection. Assuming the appropriate CRF is 0.53, what will be the reduction in number of crashes at that intersection achieved by the mayor? 

response for Mounika Iska

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4. Were Al Zink’s actions that of someone trying to be an invisible sponsor?

     Al Zink actions make it obvious that he is trying to be an invisible sponsor, though they are many reasons for him to take that end. Al Zink not responding to Fred’s requests in the fear of decision making and attempts for not initiating the project plan and schedules clearly depicts his interest towards invisible sponsor. Considering his experience, these actions might not be intentional but his fear of losing the reputation made him an invisible sponsor.

5. Did Fred Cutler act appropriately in trying to get Al Zink to act as a sponsor?

     Talking about the situation Fred had gotten in to, Fred’s act was appropriate because he got to escalate things when there is no action done by his co-worker to get the job done. At the same time, Fred never put his efforts to make Al Zink comfortable with his new role. As per the case study Fred has enough knowledge about how to handle this project and where exactly Al Zink came from, also he was told to train Al Zink which he never done instead he made Zink’s fears aggressive by stating Zink’s role as the most crucial part.

6. What is your best guess as to what happened to the working relationship between Al Zink and Fred Cutler?

     As discussed in the previous question, things would have been in a better place if Fred acted well in time. When an employee is given the opportunity of training someone, they should analyze the trainee and make sure they get best out of his expertise and inject the responsibilities in a timely fashion with which he has no experience. In this case, none of the two has the maturity to read the other person and act accordingly instead they both are trying their best to make sure they won’t end up getting a red flag from higher authorities.

Reference: Kezner, H. (2013). A Systems Approach to Planning, Scheduling,and Controlling. New York: Wiley.

Inequalities With More Than One Operation

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Inequalities Using Multiplication and Division

 

1.         2x + 5 > -5                                                      2. -5x – 2< 5

 

 

3.         -10x – 4 <= – 5                                                 4. 6x + 2 > – 2

 

 

 

5.         4x + 3 > -28                                                     6. -3x – 3 <= 15

 

 

 

7.         -7x – 5 <= 21                                                   8.   4x + 2 > -13

 

 

 

9.         2x + 4 > -4                                                       10. -5x – 3 < -10

 

 

 

11.       (x/2) – 2 > -3                                                   12.  (4/5)x + 3 <= 12

 

13.    (2/5)x + 2 <= 13                                                 14. (-5/3)x – 3 > 15

 

 

15. (-5/2)x – 6 > -10                                                   16. (x/3) + 3 < 5

 

 

17. (x/4) + 2 <= 2                                                       18. (-1/3)x  – 4 => 4

 

 

 

19. (2/3)x – 4 => -12                                                   20. (-x/5) + 4 < -10

REPLY TO MY CLASSMATE’S DISCUSSION (NEED IN 15 HOURS NO EXCEPTIONS)

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 Explain the two primary approaches the government uses to reduce the number of human behavior-related deaths. What are other approaches the government can use to reduce mortality rates due to human behavior?

PLEASE EXPLAIN WHETHER YOU AGREE WITH MY CLASSMATE ANSWER TO THE ABOVE QUESTION AND WHY? (A MININUM OF 125 WORDS)

                                                                 

                                                               CLASSMATE’S POST

Education and regulation are the two ways the government has continued to work towards reducing human behavior related deaths. Throughout the years, diseases such as HIV or AIDS have left an impact on death rates in the United States. Public health officials are ever changing in ways to reach the population their serve. For instance, with the AIDs epidemic in the 1980’s it was imperative to find which population was most susceptible to contracting the disease. It was found to be heavily prevalent in the gay community or more specifically in those MSM. It was found that through education with the gay community to educate on the practice of safe sex. 

           Regulating or imposing laws in order to prevent diseases has been done in previous years as well. Tobacco use and alcohol is a huge contributor to death rates still today even with laws in place. Through laws such as a legal drinking and smoking age, it has helped to decrease some of the effects on our youth. Labels have also been required on tobacco products to alert users to the risks of using the products. High-risk behaviors such as tobacco use can also be linked to parental influences as well, so educating parents on the risk factors for youth is also increasingly important. The government in the future will need to continue to use different tactics to combat the disease or conditions that have high death rates. For instance, drug regulation for opiate medication is crucial to preventing the spread of drug abuse-related deaths. Some states have imposed computerized systems to monitor prescriptions, but some states are still lacking and at this time the DEA is not involved in state prescription drug monitoring programs. In fact, in 2011 only 37 states had fully functioning systems. 

A small, family-owned coffee shop does a brisk business every weekday morning

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A small, family-owned coffee shop does a brisk business every weekday morning. Customers arrive at an average rate of 16 per hour. There is only one server and she can serve a customer in an average of 3 minutes. What is the probability that there are at least 5 customers at the coffee shop?

Answer

 

0.95

0.80

0.75

0.59

0.00

 

A small, family-owned coffee shop does a brisk business every weekday morning. Customers arrive at an average rate of 16 per hour. There is only one server and she can serve a customer in an average of 3 minutes. What is the probability that the server is not busy?

Answer

 

0.00

0.80

0.75

0.20

1.00

 

A tutor is working diligently in the tutoring lab answering questions from students the day the homework assignment is due. Because so many students have waited until the last minute to do their homework, she keeps socialization to a minimum and provides explanations as quickly as possible. On average, she can answer 20 questions per hour and students arrive at her office seeking help every four minutes. Student arrivals are Poisson distributed and answer times are exponentially distributed. What is the Utilization rate for the tutoring lab?

Answer

 

0.00

0.80

0.75

0.20

1.00

 

 

A tutor is working diligently in the tutoring lab answering questions from students the day the homework assignment is due. Because so many students have waited until the last minute to do their homework, she keeps socialization to a minimum and provides explanations as quickly as possible. On average, she can answer 20 questions per hour and students arrive at her office seeking help every four minutes. Student arrivals are Poisson distributed and answer times are exponentially distributed. You arrived at the tutoring lab with a question, what is the probability that you will have to wait?

Answer

 

0.00

0.80

0.75

0.20

1.00

 

A tutor is working diligently in the tutoring lab answering questions from students the day the homework assignment is due. Because so many students have waited until the last minute to do their homework, she keeps socialization to a minimum and provides explanations as quickly as possible. On average, she can answer 20 questions per hour and students arrive at her office seeking help every four minutes. Student arrivals are Poisson distributed and answer times are exponentially distributed. What is the probability of having 60 students at thee tutoring lab?

Answer

 

0.00

0.80

0.75

0.20

1.00

 

A decision maker’s worst option has an expected value of $1,000, and her best option has an expected value of $3,000. With perfect information, the expected value would be $5,000. The decision maker has discovered a firm that will, for a fee of $1,000, make her position-risk free. How much better off will her firm be if she takes this firm up on its offer?

Answer

 

 

$5,000

$4,000

$3,000

$2,000

$1,000

 

A tutor is working diligently in the tutoring lab answering questions from students the day the homework assignment is due. Because so many students have waited until the last minute to do their homework, she keeps socialization to a minimum and provides explanations as quickly as possible. On average, she can answer 20 questions per hour and students arrive at her office seeking help every four minutes. Student arrivals are Poisson distributed and answer times are exponentially distributed. What is the average number of students waiting in line outside the tutoring lab if each student asks one question?

Answer

 

2.25

2.80

1.75

3.20

1.00

Use the frequency distribution table below showing a sample data set for 10 students on a test with

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Use the frequency distribution table below showing a sample data set for 10 students on a test with a maximum score of 20 to find the standard deviation of the scores. (Round answer to one decimal position.)

 

Score

Frequency

Midpoint

Midpoint x Frequency

Midpoint squared x Frequency

1 – 5

4

 

 

 

6-10

3

 

 

 

11 – 15

2

 

 

 

16 – 20

1

 

 

 

Totals

10