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Midterm Practice - Elementary Statistics | STAT 135, Exams of Statistics

Material Type: Exam; Class: Elementary Statistics; Subject: Statistics; University: Ohio State University - Main Campus; Term: Winter 2008;

Typology: Exams

Pre 2010

Uploaded on 07/23/2009

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Stat 135 Winter 2008 Practice Midterm #1 (100 points) Name___________________
TA ____________________
Instructions: On questions 13-19, you MUST show your work and explain to receive full credit.
There is no need to show your work on questions # 1-12.
True/False (circle one), Multiple Choice (circle one), and Fill-in
T F 1. (2 pts) Using randomization to assign subjects to treatment groups helps to decrease
bias in the interpretation of the results.
T F 2. (2 pts) A confounding factor can confuse the interpretation of an observational study.
T F 3. (2 pts) All else being equal ... when the sample size increases so does the margin of
error.
T F 4. (2 pts) The purpose of a placebo is to reduce the variability of experimental data.
T F 5. (2 pts) If two variables have a correlation of 0.3 and you multiply every value of both
variables by 2, then the correlation at that point will be 0.6.
T F 6. (2 pts) If the standard deviation of a list of numbers is zero, then all of the numbers
must be the same.
A B C D 7. (3 pts) The use of randomization in the sampling procedure will enable a
pollster to do each of the following EXCEPT:
A) diminish bias B) calculate a margin of error
C) eliminate random sampling error D) mitigate the effects of lurking
variables
8. An analysis of car registrations in Illinois showed that about half of the
registered cars are less than 5 years old. Another result of this analysis shows that
2002 model year cars are the most common model year and that there are fewer
and fewer registered cars with each previous year.
A B C D a. (3 pts) Which of the following would describe the median age of the registered
cars in Illinois?
A) The median age is less than one year old.
B) The median age is about five years old.
C) The median age is more than five years old.
A B C D b. (3 pts) Which would describe the mean age of the registered cars in Illinois?
A The mean age is less than one year old.
B) The mean age is about five years old.
C) The mean age is more than five years old.
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TA ____________________

Instructions: On questions 13-19, you MUST show your work and explain to receive full credit. There is no need to show your work on questions # 1-12. True/False (circle one), Multiple Choice (circle one), and Fill-in T F 1. (2 pts) Using randomization to assign subjects to treatment groups helps to decrease bias in the interpretation of the results. T F 2. (2 pts) A confounding factor can confuse the interpretation of an observational study. T F 3. (2 pts) All else being equal ... when the sample size increases so does the margin of error. T F 4. (2 pts) The purpose of a placebo is to reduce the variability of experimental data. T F 5. (2 pts) If two variables have a correlation of 0.3 and you multiply every value of both variables by 2, then the correlation at that point will be 0.6. T F 6. (2 pts) If the standard deviation of a list of numbers is zero, then all of the numbers must be the same. A B C D 7. (3 pts) The use of randomization in the sampling procedure will enable a pollster to do each of the following EXCEPT: A) diminish bias B) calculate a margin of error C) eliminate random sampling error D) mitigate the effects of lurking variables

8. An analysis of car registrations in Illinois showed that about half of the registered cars are less than 5 years old. Another result of this analysis shows that 2002 model year cars are the most common model year and that there are fewer and fewer registered cars with each previous year. A B C D a. (3 pts) Which of the following would describe the median age of the registered cars in Illinois? A) The median age is less than one year old. B) The median age is about five years old. C) The median age is more than five years old. A B C D b. (3 pts) Which would describe the mean age of the registered cars in Illinois? A The mean age is less than one year old. B) The mean age is about five years old. C) The mean age is more than five years old.

A B C 9. (3 pts) For the three boxplots below, which of the three distributions has the largest 75th percentile? A B C D 10. (3 pts) Which of the following is an example of a sampling error? A) Survey information is typed into a computer incorrectly. B) The sampling frame does not include some members of the population. C) Individuals lie about the answers to some questions. D) The wording of a question leads subjects to a particular type of response.

11. The rent for apartments near campus are generally lower than rents for downtown apartments. Also a few very high priced apartments downtown make the distribution of rents there very skewed in comparison with the more symmetric distribution seen around campus. Fill-in the blanks from these choices (2 points each) i) bias ii) margin of error iii) standard deviation iv) skewed to the right v) normal curve vi) skewed to the left vii) mean viii) median ix) symmetric x) standard score xi) pictogram xii) piechart a) You can describe the variability in campus apartment rents using the ________. b) You can describe the typical rent paid downtown using the ____________. c) You can describe your friend’s campus rent relative to other rents around campus using the ______. d) You can describe the shape of the histogram of downtown rents as _________. 12. (3 pts) Match each of the following scatterplots to one the correlations from this list : - 1, – 0.95, 0.02, 0.73, 0. a. _________________ b._________________ c.________________

A B C

c. Identify the explanatory variable and the response variable in your study. (4 pts)

15. A truck is loaded with bags of onions that weigh an average of 5 pounds with a standard deviation of 0.5 pounds. The histogram for of the weights of all the bags on the truck looks very much like the "bell-shaped curve" of a normal distribution. a. What percent of the bags weigh between 4 and 6 pounds? Show your work/Explain (4 pts) b. What percent of the bags weigh over 5.2 pounds? Show your work/Explain (5 pts) 16. In order to estimate the percentage of adult Oakland California residents who favor the Governor's plan to address the global warming issue in that state, 900 residents are chosen randomly. These 900 people are asked "Do you favor the Governor's planned state policies on global warming?" and it turns out that 65% of them said yes. The survey results are reported as follows: "With 95% confidence, the percentage favoring the Governor's energy plan lies in the range 65% ± 3%." a. In this problem, what is the (1 pt each): population of interest? parameter? sample? sample statistic? margin of error? level of confidence? b. For each of the possibilities below say whether it would affect the bias in this poll, the margin of error in this poll, or if neither would be affected. Explain each answer briefly (2 pts each). i) Suppose that 3600 people had been chosen randomly instead of 900?

ii) Suppose this poll had been taken in Los Angeles (with 3.6 million people) to gauge the opinions of Los Angeles residents instead of in Oakland (with 365,000 people)? iii) Suppose that, instead of the original wording of the question, the poll had asked "Do you favor the Governor's energy plan in order to avoid catastrophic flooding in our coastal cities?"

17. (6 pts) The students who purchase textbooks from the on-line service of a Texas textbook dealer spend an average of $200 with a standard deviation of $50. The dealer also charges every customer an additional $5 for shipping and handling. What are the average and the standard deviation of the total amount spent by the students including the shipping and handling charge? Explain. 18. A teacher wishes to know if a new English curriculum will increase the creativity of her students in writing poetry. At the end of the unit, a sample of each student's poetry is given to a panel of five experts who rate the creativity of the poem on a 10 point scale. a. (4 pts) In reporting the results, the teacher claimed that the experts' ratings showed just how creative her students were. A critic of the new curriculum argued that the ratings were a poor way to measure creativity. Is the critic addressing the issue of measurement reliability, validity, or bias? Explain briefly. b. (4 pts) The five experts seemed to rate each student nearly the same. For example, one student's poem got ratings of 8, 7, 8, 8, and 6 by the five experts. Are these statements addressing the issue of measurement reliability, validity, or bias? Explain briefly.