Survey for students of Ben Winchester
Part I: Questionnaire
1. In what year did you last take STAT 1601?
2. In what semester did you last take STAT 1601?
3. Please list how many courses in statistics you took prior to STAT 1601?
4. How many courses in statistics have you had since STAT 1601?
5. Have you read any books on statistics or done any other outside learning that might have increased your knowledge of statistics substantially beyond what you learned in STAT 1601? Please check the option that best corresponds to your level of outside learning.
No outside learning
Minimal outside learning
Some outside learning
Extensive outside learning
6. How many hours per week were you tutored on average during your STAT 1601 class?
7. Please check off each item below that corresponds to a teaching method your professor used in the course. You can choose more than one.
Additional readings beyond the textbook
Overheads presented in class
PowerPoint or other computer slides presented in class
Professor made notes available online
Learning activities involving designing an experiment or study
Learning activities involving analyzing a dataset and writing a report
Learning activities involving giving an in-class presentation
Use of specialized statistical software (SPSS, Sysstat, etc.)
If your professor used a method not listed here, please describe it in the box:
8a. Can you recall any specific experiences during your STAT 1601 course that were particularly memorable? If so please briefly describe as many as you can. Write your response in the box below.
8b. How many separate memories did you list?
For the next two questions, please mark the response that indicates the extent to which you agree with the statement:
9. I was able to completely master the skills and knowledge taught to me in STAT 1601
10. My STAT 1601 course was personalized to fit my needs.
11. Please mark the option that best describes your studying habits during STAT 1601:
Studied multiple days each week
Mostly studied on nights before an exam
12. Please indicate your personal level of interest in statistics
13. Please indicate the degree to which you consider knowledge of statistics relevant to your future career plans.
14. What is your class standing? Please choose one.
15. What is your gender?
16. Please list your majors and minors.
17. What is your age? Please choose one.
Younger than 18.
25 or older.
18. What is your student ID number? (This number will only be used by your professor to access your original exam scores and grades from STAT 1601 and will be erased thereafter. No one except your professor will know what name or ID number goes with what original exam scores or grades.)
Please enter numbers only
Part II: Test
Instructions: You will need a piece of scratch paper to work on. You may use a calculator but please do not use any other outside help that you did not have during the original exam (no books, no notes, etc.). Providing a good but honest effort will help the statistics department accurately assess learning and identify areas that need improvement.
Table of normal probabilities:
Please choose the best answer out of the choices given. You will need to use the above table to answer some questions.
(CHAPTER 1: LOOKING AT DATA-DISTRIBUTIONS)
1. Each state is interested in seeing what percentage of their college-age students remain in their home state for their education. The following table gives these percentages for some states.
a. Make a stemplot of these data on your scratch paper and write your interpretation:
b. Compute the mean:
c. Give the five-number summary for this distribution:
d. Construct a boxplot on your scratch paper and write your interpretation:
e. Use the 1.5 × IQR criterion to spot suspected outliers. List the outlier states in the box:
(CHAPTER 2: LOOKING AT DATA-RELATIONSHIP)
2. Castle Rock Entertainment has produced many movies over the past years. A vice president wants to see if there is a relationship between the total cost of a film (x) and the gross income produced by the film through ticket sales in American movie theater(y).
Suppose that the least squares regression is y = -22.5 + 2.5x. Interpret the values -22.5 and 2.5.
a. What is the value -22.5?
b. What is the value 2.5?
c. Suppose that the value of the correlation between total cost and gross income is 0.5. What is the proportion of variation in the gross income that can be explained by the total cost of a film?
(CHAPTER 4: PROBABILITY)
3. In an article titled “Why Quitting Means Gaining” (Time magazine), it was reported that giving up cigarette smoking often results in gaining weight. In examining a group of quitters, the following data were found.
If a participant were randomly selected, find the probability that
a. participant experienced major weight gain:
b. participant was women and experienced slight weight gain:
c. participant did not experience a major weight gain:
d. participant was a women, given that she experienced moderate weight gain:
e. participant experienced a moderate weight gain, given that the participant was men:
f. Are the events “major weight gain” and “ slight weight gain” independent?
g. Are they disjoint?
h. Justify your answer.
(CHAPTER 4: PROBABILITY)
4. City crime records show that 20% of all crimes are violent, and 80% are nonviolent. 90% of the violent crimes are reported. On the other hand 70% of nonviolent crimes are reported.
a. What is the probability that the crime will be reported?
b. If a crime in progress is reported to the police, what is the probability that the crime is violent?
(CHAPTER 5: COUNTS AND PROPORTIONS)
5. Records show that 30% of all patients admitted to a medical clinic fail to pay their bills and that eventually the bills are forgiven. Suppose that n=12 new patients represent a random selection from the large set of prospective patients served by the clinic.
HINT: If a count x has the binomial distribution B(n,p), then μx = np and
σx = (np(1-p))^-2
Find the mean and standard deviation of the number of patients whose bills will be forgiven out of 12 patients:
b. Standard deviation?
c. What is the probability that all the patients' bills will eventually have to be forgiven out of 12 patients?
d. What is the probability that more than 3 patients' bills will be forgiven out of 12 patients?
e. Used the Normal approximation to find the probability that the proportion of the patients' bills that will be eventually forgiven in a random sample of 64 patients will be between 0.29 and 0.31. HINT: Use the table of normal probabilities above.
(CHAPTER 6: INFERENCE ON POPULATION MEAN)
6. An article describing research on the subject of the role of touch on consumer behavior appeared in the Journal of Consumer Research. The mean of the ratings of a random sample of 124 diners who were touched by male servers were 3.07. Assume that the population standard deviation is 1.08. (The rating scale was +4 for extremely good service, 0 for neutral service, and -4 for extremely poor service.) Test the hypothesis that the population mean rating of male servers who touch their customers is different than 3. Use the 0.05 level of significance. HINT: Use the table of normal probabilities above.
What is the outcome?
(CHAPTER 6 & 7: INFERENCE ON POPULATION MEAN)
7. a. In the American Journal of Psychiatry it is reported that an IQ test was administered to a random sample of 26 chronic schizophrenic patients and the sample mean and sample standard deviation were found to be 97.6 and 15, respectively. Construct a 90% confidence interval for the mean IQ of the population of chronic schizophrenic patients:
b. A child psychologist wishes to estimate the mean length of time 6-year-old children spend with their parents each day. Past experience has shown the population standard deviation to be 127 minutes. How large a sample should she select to be within 15 minutes with 99 percent confidence?
Please type the sample size here:
(CHAPTER 8: INFERENCE FOR PROPORTIONS)
8. In a New York Times/CBS telephone poll of 1,368 people nationwide, 1,163 responded in favor of the following question: "Would you favor or oppose a national law that required a 7-day waiting period between the time a person applied to buy a handgun and the time it was sold to them?"
(CHAPTER 8: INFERENCE FOR PROPORTIONS)
9. A study in the American Journal of Public Health reported that out of a random sample of 512 Denver employees, 292 reported they experienced headaches. And of a sample of 281 Adams County employees, 172 reported they experienced headaches. Test the hypothesis at the .01 level that there is a difference in the population proportion of employees who experienced headaches at the two locations.
HINT: Use the information below to solve the problem.
What is the outcome of the test?
(CHAPTER 9: INFERENCE ON TWO-WAY TABLES: CHI-SQUARE TEST)
10. To produce data for a class project (1998), Courtney Adams took a survey of 124 female and 155 male students and asked if they were pro-choice, pro-life, or not sure/no opinion. The information gathered is described in the following table:
Not sure/no opinion
Perform a test to determine whether the data substantiate an association between opinion and the gender. Use a=0.05. and the χ2 table below.
HINT: . If H0 is true, the chi-square statistic X2 has approximately a χ2 distritubion with (r-1)(c-1) degrees of freedom. The P-value for the chi-square test is P( χ2>=x2), where χ2 is a random variable having the χ2(df) distribution with df = (r-1)(c-1).
Table of χ2 probabilities
What is the outcome of the test?
17. What is your email address? (Entering this address verifies that you have participated in the study. It will only be used to contact you so we can make arrangements for you to receive your payment, it will not be connected to your class grades in any way.)
When you are finished, check your work and then hit SUBMIT below. If you need to start over, hit RESET to clear your answers.