a starting lineup in basketball consist of a left guard, a right guard, a left forward, a right forward, and a center. Also, a certain regional high school serves students from the municipalities of Alicetown and Burridge, and this high school has a basketball team. Of the team's 4 guards, 2 are from Alicetown; of the team's 5 forwards, 2 are from Alicetown; and, of the team's 5 centers, 2 are from Alicetown.

a) How many ways are there to form a starting lineup consisting only of students from alicetown?

b) what is the probability that all the students in the starting lineup come from Alicetown?

c) What is the probability that all of the students in a starting lineup come from the same municipality?

a)A university planner wants to determine the proportion of spring semester students who will attend summer school. Suppose the university would like a 0.90 probability that the sample proportion is within 0.281 or less of the population proportion.What is the smallest sample size to meet the required precision? (There is no estimation for the sample proportion.)  (Enter an integer number.)

b)A university planner wants to determine the proportion of fall semester students who will attend summer school. She surveys 30 current students discovering that 20 will return for summer school.At 90% confidence, compute the margin of error for the estimation of this proportion.

c)For the t distribution with 14 degrees of freedom, calculate P(T < 2.624)!

Part 2. As a school nutritionist, you are also interested in tracking whether or not children are getting enough calcium in their diet. It is recommended that teenagers consume at least 1,300mg per day of calcium. Assume the average teenager in your school consumes 1,200mg, with a SD of 400mg. 5. Calculate the mean of the sampling distribution for average calcium consumed 6. Calculate the standard error of the mean of that sampling distribution (for samples of 30) 7. Calculate the Z-score associated with 1,300mg of calcium in your sampling distribution 8. For samples of 30 teenagers per class, what is the probability a class average for calcium consumption will fall below the recommended 1,300mg? (Write as decimal, not percentage)

Math SAT scores (Y) are normally distributed with a mean of 1500 and a standard deviation of 140. An evening school advertises that it can improve students' scores by roughly a third of a standard deviation, or 30 points, if they attend a course which runs over several weeks. (A similar claim is made for attending a verbal SAT course.) The statistician for a consumer protection agency suspects that the courses are not effective. She views the situation as follows: H0 : = 1500 vs. H1 : = 1460.

Assume that after graduating from the course, the 420 participants take the SAT test and score an average of 1450. Is this convincing evidence that the school has fallen short of its claim at 2.5% level?

Cyber security

Security Policy:

1. , write a small antivirus policy for the IT infrastructure and users in a
   1. small business
   2. an elementary school
   3. You may research anti-virus policies of organizations on the web, please use and cite responsibly.

Security Recommendation: Rose Shumba manages the IT security for a school. Given the wide range of people who use the school’s computers, it is challenging for Rose to prevent virus infections. She has installed an anti-virus on each machine and has a policy prohibiting software downloads.

Comment on:

1. How secure is the network from viruses?
2. What areas has Rose not secured?
3. What recommendations would you make to Rose to increase the security?

Conch Republic Electronics

Conch Republic Electronics is a midsized electronics manufacturer located in Key West, Florida. The company president is Shelley Couts, who inherited the company. When it was founded over 70 years ago, the company originally repaired radios and other household appliances. Over the years, the company expanded into manufacturing and is now a reputable manufacturer of various electronic items. Jay McCanless, a recent MBA graduate, has been hired by the company’s finance department.

One of the major revenue-producing items manufactured by Conch Republic is a personal digital assistant (PDA). Conch Republic currently has one PDA model on the market, and sales have been excellent. The PDA is a unique item in that it comes in a variety of tropical colors and is preprogrammed to play Jimmy Buffett music. However, as with any electronic item, technology changes rapidly, and the current PDA has limited features in comparison with newer models. Conch Republic spent $750,000 to develop a prototype for a new PDA that has all the features of the existing PDA but adds new features such as cell phone capability. The company has spent a further $200,000 for a marketing study to determine the expected sales figures for the new PDA.

Conch Republic can manufacture the new PDA for $155 each in variable costs. Fixed costs for the operation are estimated to run $4.7 million per year. The estimated sales volume is 74,000, 95,000, 125,000, 105,000, and 80,000 per each year for the next five years, respectively. The unit price of the new PDA will be $360. The necessary equipment can be purchased for $21.5 million and will be depreciated on a seven-year MACRS schedule. It is believed the value of the equipment in five years will be $4.1 million.

As previously stated, Conch Republic currently manufactures a PDA. Production of the existing model is expected to be terminated in two years. If Conch Republic does not introduce the new PDA, sales will be 80,000 units and 60,000 units for the next two years, respectively. The price of the existing PDA is $290 per unit, with variable costs of $120 each and fixed costs of $1,800,000 per year. If Conch Republic does introduce the new PDA, sales of the existing PDA will fall by 15,000 units per year, and the price of the existing units will have to be lowered to $255 each. Net working capital for the PDAs will be 20 percent of sales and will occur with the timing of the cash flows for the year; for example, there is no initial outlay for NWC, but changes in NWC will first occur in year 1 with the first year’s sales. Conch Republic has a 35 percent corporate tax rate and a 12 percent required return.

Shelly has asked Jay to prepare a report that answers the following questions.

Questions

1.            What is the payback period of the project?

2.            What is the profitability index of the project?

3.            What is the IRR of the project?

4.            What is the NPV of the project?

12.16.  Randomly selected groups of 120 parents and 150 teachers from one school district are surveyed about their attitudes toward inclusion. One of the questions asks them whether they oppose or support inclusions and their responses to this question are recorded in the following table. The data were analyzed using a chi square test. The obtained chi square value is 5.65, significant at the .02 level (p=.02).

a.             Which chi square test should be used to analyze the data and answer the research questions? Explain.

b.             Is there a statistically significant difference in the responses of the parents and teachers? Explain.

12.17.  In a recent national poll, people were asked the following question: "In your opinion, how important is it to improve the nation's inner-city schools?" The responses of city residents who do not have school-age children were compared to the national responses. A chi square test was used to analyze the data in order to determine whether there is a difference in responses between those who live in cities and do not have school-age children and the national responses. The results of the study are displayed in the following table. The analysis revealed a chi square value of 4.32, significant at p=.36.

a.         Which chi square test was used to analyze the data? Explain.

b.        What was the null hypothesis?

c.         What are the conclusions of the study? Explain.

Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime.† At Jefferson High School, a random sample of

n = 68 students

(ages 16-19) showed that

r = 9

had been victims of a crime. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer.

(a) Do these data indicate that the population proportion of students in this school (ages 16-19) who have been victims of a crime is different (either way) from the national rate for this age group? Use

α = 0.05.

Do you think the conditions

np > 5

and

nq > 5

are satisfied in this setting? Why is this important?

(i) What is the level of significance?

What is the value of the sample test statistic? (Round your answer to two decimal places.)

(b) Find a 95% confidence interval for the proportion of students in this school (ages 16-19) who have been victims of a crime.

(c) How large a sample size should be used to be 95% sure that the sample proportion p̂ is within a margin of error

E = 0.05

of the population proportion of all students in this school (ages 16-19) who have been victims of a crime? Hint: Use sample data p̂ as a preliminary estimate for p. (Round your answer up to the nearest student.)
students