1) Amiti currently smokes one pack of cigarettes a day; she typically smokes with her morning coffee, after meals, in her car, and when hanging out with her friends who smoke. Identify five actions or strategies that Amiti can use to increase her chances of success at quitting.

2) Your cousin has confided in you that she thinks she might have a drug problem. She explains that lately she can only think about getting high and seems to need much more of the drug in order to achieve that high. She is having difficulty in school and has been reprimanded at her job for being late. She has tried to cut back on her use of the drug, but she got sick every time she tried to quit. Identify and define the characteristics of drug dependence being manifested by this individual.

John just turned 12 (at t = 0), and he will be entering college 6 years from now (at t = 6). College tuition and expenses at State U. are currently $16,500 a year, but they are expected to increase at a rate of 3.5% a year. John is expected to graduate in 4 years. Tuition and other costs will be due at the beginning of each school year (at t = 6, 7, 8, and 9). So far, John’s college savings account contains $10,000 (at t = 0). John’s parents plan to add an additional $12,000 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 2 equal annual contributions in each of the following two years, t = 5,, and 6. They expect their investment account to earn 5.5%. How large must the annual payments at t = 5, and 6 be to cover John’s anticipated college costs?

Like many teenagers struggling with peer pressure and the desire to be cool, Janis started secretly smoking cigarettes. Janis’s parents give her an allowance of $395 per month to buy a sandwich for lunch at school every day. Janis likes to consume her sandwiches in fixed proportions with cigarettes. She eats exactly 3 sandwiches for every pack of cigarettes that she smokes. The price of cigarettes is $4 per pack and the price of sandwiches is 5 per sandwich.

If Janis's parents reduce her income from $395 to $185, by how many packs will her consumption of cigarettes be reduced? Round your final answer to one decimal place.

The parents' goal in the previous question was for Janis to stop smoking cigarettes and spend all her (reduced) allowance on sandwiches. How successful will the parents be in their plan? Explain your reasoning.

Match each scenario below with the most appropriate inferential technique. Group of answer choices

We want to test if at least half of students at a university feel as if the dorms need to be renovated.

We want to estimate the average number of calories in a combo meal at fast food restaurants.

The population standard deviation is unknown.

We want to test if the average number of miles that motorists drive between oil changes is greater than the recommended 3000 miles while assuming a population standard deviation of 1000 miles.

We want to test if high school marching bands are equally made up of freshmen, sophomores, juniors, and seniors.

We want to test if the average starting salary of software engineers out of college is greater than \$70,000. The population standard deviation is unknown. We want to estimate the proportion of people who speak more than one language fluently.

5. The head football coach is concerned about high cholesterol level of the assistant coaches. In an
attempt to improve the situation a sample of seven coaches is selected to take part in a special program
in which each coach is given a special diet by the school trainer. After six months each coach’s
cholesterol level is checked again. At the .01 level of significance, can we conclude that the program led
to a change in the cholesterol levels?
Coach Before After
1.            225.   210
2.            230.   225
3.            290.   215
4.             242. 215
5.             300. 240
6.             250. 235
7.            215.   190.                                              1. State the hypotheses:
2. Determine the critical values and diagram.
3. Identify the test statistic:
4. What is the decision rule?
5. Calculate the test statistic:
6. Conclusion and justification
Type of error:
7. p-value:

Formula that you might use:

For a simple linear regression model

yi= α + βxi+ui, i=1,2,...,N.

Homework Assignment 1

1. Suppose researchers want to know the effect of elementary school class size on students’ math scores(total score is 100), intuitively they think there exists a negative linear relationship between class size and students’ math scores. The researchers want to know the marginal effect of class size on student’s math scores.

1) Based on the background information, design an linear regression model for this research question, and briefly explain your dependent variable, independent variable and the meaning of the parameters.
2) Briefly explain the assumptions of Classical linear regression model (CLRM)

3) Suppose the assumptions of the CLRM are satisfied, what properties of your estimators should be expected to have?

Albert Bandura has conducted a number of studies on aggression in children. In one study, one group of nursery school children were shown a film of adults punching, hitting (with a hammer), kicking, and throwing a large rubber Bobo doll. Another group was not shown the film. Afterward, both groups were allowed to play with Bobo dolls in a playroom, and the number of violent contacts were measured in each child. Let us imagine that we replicated this study and obtained the following data :scores are the number of violent contacts with the Bobo doll): Film Group: 20, 65, 41,80,52,35, 15, 75,60,50,47,33 No Film Group: 5,20, 0,0,10, 8, 30, 13,0,25 a) State formally the hypotheses necessary to conduct a directional test of no difference between the two population means. b) Complete the test at the .01 level of significance, and state your conclusion.

An MCAT is an exam that university students take if they are interested in applying to med school. A professor at the University of Guelph quotes the following: "Because only a minority of university students actually take the MCAT, the scores overestimate the ability of a typical university student. The mean MCAT score is about 508, but I think that if all students took the test, the mean score would be no more than 450". This professor gave the test to a random sample of 500 students in Ontario, and found that these students had a mean score of x = 461.

a) Is this good evidence against the claim that the mean for all students is no more than 450? For the purpose of this example, let us assume that the population standard deviation σ of MCAT scores in our Ontario population is 100.

b) would this statistically significant result be practically significant?

b) Would this statistically significant result be significant in a practical sense?

You and your classmates are boarding a lifeboat from a ship sinking in the middle of the ocean. You each are guaranteed a seat. Unfortunately, there are 10 others seeking a seat, as well, with only three seats remaining. As a group, you must decide which three people from the following list you will bring in your lifeboat and why?

• Restaurant manager, 67, married with two kids
• Croatian first-year medical student, 23, speaks little English
• Single mother, 34, has 3 kids
• LGBT male accountant, 58, a professional triathlete
• High school grad, 18, going into the army
• Homeless person, 40, Harvard dropout
• Successful entrepreneur, 49, chronic medical problems
• Top-ranked Olympic swimmer from Brazil, 21, no English
• Billionaire's daughter, 6, certified genius
• Comedian of Latino descent, 38, internationally famous