a)What two important features do we use to describe the shape of a scatter diagram?

b)What are the five characteristics of graphical excellence?

c). Name two (or more) methods of graphical deception.

Individuals filing federal income tax returns prior to March 31 received an average refund of $1077. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).

a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection Ho of will support the researcher's contention.

Ho: μ is

Hα: μ is

b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $920. Based on prior experience a population standard deviation of σ=$1800 may be assumed. What is the p-value (to 4 decimals)?

c. Using , α= 0.05 can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? Answer the next three questions using the critical value approach.

d. Using α= 0.05, what is the critical value for the test statistic? Enter negative value as negative number. State the rejection rule: Reject α= 0.05 if z is ___ the critical value.

Using α= 0.05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers?

1. An engineering firm conducts traffic studies on behalf of companies that want to build a new store in Miami, Florida. The average cost of these traffic studies is $15,500, and the standard deviation for these costs is $4,250. These costs have a bell-shaped distribution. What is the approximate percentage of these traffic studies that will cost between $2,750 and $19,750?

Enter your answer as a decimal rounded to two places.

2. Calculate the sample variance for the following set of data from a coffee shop. The values represent the amount of money (in dollars) the cash register is short or over after eight randomly selected shifts: -0.72, 0.42, 1.14, -0.81, -0.13, -0.10, -0.17, and 1.19.

Sample variance =  dollars²

^3. The median for a left-skewed distribution is 68.5. Which of the statements below are correct?

You must make a selection for each option. Click once to place a check mark for correct answers and click twice to empty the box for the wrong answers.

4.

5.

2. Current estimates suggest that 75% of the home-based computers in a foreign country have access to on-line services. Suppose 20 people with home-based computers were randomly and independently sampled. Find the probability that fewer than 10 of those sampled currently have access to on-line services. Find the probability that more than 9 of those sampled currently do not have access to on-line services.

Gale-Shapley: Prove or dissprove the following theorem

In every execution of the hospitals-propose Stable Matching algorithm, there is at most one hospital that makes offers to every doctor.

If anyone can help me with a long-form proof or an example that dissproves this claim!

13 25 40 20 28 48 19 14

Complete the following:

a) Use the bubble sort (page 214) to sort the values showing the order of the values in the list after every pass of the sorting algorithm.

b) What is the time complexity of the sort (use the number of comparisons required as a measure of time.)

c) Modify the algorithm so it stops if there are no swaps in a complete pass. How many comparisons would be needed in your specific example?

d) Choose one of the following properties of Algorithms and show that the bubble sort has the given property:

Input: an algorithm has input values;

Output: from each set of input values an algorithm produces output values that are a solution to the problem;

Definiteness: the steps in an algorithm must be precisely defined;

Correctness: an algorithm must produce the correct output values for each set of input values;

Finiteness: an algorithm should produce the output after a finite number of steps;

Effectiveness: it must be possible to perform each step in the algorithm in a finite amount of time;

Generality: the algorithm must be applicable to a category of problems, not a single set of input values

A total of 150 crimes were reported by the sheriff last year. Of the 150 crimes, 39 were committed by criminals under 20 years of age, 36 were committed by criminals over 40 and 82 were violent crimes. There were 27 violent crimes under the age of 20 and 14 violent criminals over the age of 40.

What is the probability that at least one out of four crimes is nonviolent? Please show work so I can understand how to get the answer

determine what level of measurements (interval/ratio, nominal, ordinal) the following demographics are measured:

Number of children in a household, race, salary $75 k- 100 k, ethnicity, political party,ideology, level of education (by level),marital status, religion, religious affiliation, age in years.

Find an experimental study from a journal of your choice. (Provide the citation).

1. Identify the explanatory variable
2. Identify the dependent/response variable
3. What were the treatments?
4. What were the experimental units?
5. How were the experimental units assigned to the treatments?
6. Can you identify any source of bias? Explain.

The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 85% mild cheddar and 15% extra sharp, and the Zesty blend contains 75% mild cheddar and 25% extra sharp. This year, a local dairy cooperative offered to provide up to 9,000 pounds of mild cheddar cheese for $1.50 per pound and up to 4,000 pounds of extra sharp cheddar cheese for $1.70 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.25 per container. If each container of Regular is sold for $2.00 and each container of Zesty is sold for $2.50, how many containers of Regular and Zesty should New England Cheese produce?

Do not round your interim computations. If required, round your answers to the nearest whole number.

An airline owns an aging fleet of Boeing 737 jet airplanes. It is considering a major purchase of up to 17 new Boeing model 787 and 767 jets. The decision must take into account numerous cost and capability factors, including the following: (1) the airline can finance up to $1.6 billion in purchases; (2) each Boeing 787 will cost $80 million, and each Boeing 767 will cost $110 million; (3) at least one-third of the planes purchased should be the longer-range 787; (4) the annual maintenance budget is to be no more than $8 million; (5) the annual maintenance cost per 787 is estimated to be $800,000, and it is $500,000 for each 767 purchased; and (6) each 787 can carry 125,000 passengers per year, whereas each 767 can fly 81,000 passengers annually. Formulate this as an integer programming problem to maximize the annual passenger-carrying capability. What category of integer programming problem is this? Solve this problem. Please do not use any computer programs to solve. Thank you.

If the sample proportion of first-year students who suffer from depression is 328/450

1- Find and interpret the 95% condence interval for the proportion of students who are suffering from depression. Is there evidence to suggest that more than half

of the population of first-year students suffer from depression? Explain.

2- Give an explanation for your conclusion in part 1.

Please show steps. No steps, no rate.

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In the Cozumel region about 39% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 24 strikes. Find the following probabilities. (Round your answers to four decimal places.) (

a) 12 or fewer fish were caught

(b) 5 or more fish were caught (

c) between 5 and 12 fish were caught

In the study of a storage dam design, it is assumed that quantities can be measured sufficiently accurately in units of ¼ of the dam’s capacity. It is known from past studies that at the beginning of the first (fiscal) year the dam will be either full, ¾ full, ½ full, or ¼ full, with probabilities 1/3, 1/3, 1/6, and 1/6, respectively. During each year water is released. The amount released is ½ the capacity if at least this much is available; it is all that remains if this is less than ½ the capacity. After release, the inflow from the surrounding watershed is obtained. It is either ½ or ¼ of the dam’s capacity with probabilities 2/3 and 1/3, respectively. Inflow causing a total in excess of the capacity is spilled. Assuming independence of annual inflows, what is the probability distribution of the total amount of water at the beginning of the third year? Use total probability theorem.

Problem 4-03 (Algorithmic)

The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue producing investments together with annual rates of return are as follows:

The credit union will have $2.4 million available for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments.

• Risk-free securities may not exceed 30% of the total funds available for investment.
• Signature loans may not exceed 10% of the funds invested in all loans (automobile, furniture, other secured, and signature loans).
• Furniture loans plus other secured loans may not exceed the automobile loans.
• Other secured loans plus signature loans may not exceed the funds invested in risk-free securities.

How should the $2.4 million be allocated to each of the loan/investment alternatives to maximize total annual return? Round your answers to the nearest dollar.

What is the projected total annual return? Round your answer to the nearest dollar.

$ ______________________