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[answered] Microsoft Word - Final Exam Guide Fall 2016.docx University

Microsoft Word - Final Exam Guide Fall 2016.docx

University of the Virgin Islands College of Science and Mathematics MAT 235: Introduction to Statistics Final Exam Guide Fall 2016

Name: _________________________________________ Date: ___________________

Part I: Multiple Choice. Circle the correct answer choice. (2 points each)

- [For questions 1-6] A study compared the distance ran by two groups of participants on a treadmill. One group of participants was exposed to calypso while running on the treadmill. The other group of participants was not exposed to calypso during their treadmill run. The explanatory variable is the
- a) ?number of minutes the athlete regularly exercises.
- b) ?distance ran on the treadmill.
- c) ?amount of rest the athlete has had recently.
- d) ?exposure or lack of exposure to calypso.
- e) ?number of participants in the study.

- The response variable is the
- a) ?number of minutes the athlete regularly exercises.
- b) ?distance ran on the treadmill.
- c) ?amount of rest the athlete has had recently.
- d) ?exposure or lack of exposure to calypso.
- e) ?number of participants in the study.

- Which of the following are potential confounding variables?
- a) ?the number of minutes the athlete regularly exercises
- b) ?the number of participants in the study
- c) ?the number of people in the gym
- d) ?the exposure or lack of exposure to calypso
- e) ?whether the athlete attends UVI

4. The athletes are randomly assigned to groups in order to

a) decrease the number of participants

required.

b) remove any obvious source of bias in

the study results associated with

confounding variables.

c) avoid blinding in the study.

d) make the study a voluntary response

sample.

e) increase the chances of a statistically

significant result.

5. The group that is exposed to calypso on the treadmill is a

a) control group.

b) convenience sample.

c) experimental group. d) representative sample. e) p-value group

6. At the end of the study, it is determined that the results are not statistically significant. This means that

- a) ?confounding variables have biased the results.
- b) ?the number of participants was too small.
- c) ?It is possible that the observed differences between the two groups can be explained by random chance.
- d) ?the participants are not representative of a larger population of athletes.
- e) ?The number of participants was too large.

[7-11] The histogram below displays the heights in meters of the 2,105 skyscrapers in the United States.

11.Which of the following graphs would also be appropriate for displaying the distribution of heights?

a) a bar plot

b) a scatter plot

c) a pie chart

d) a dot plot

e) All of the above

12.[For questions 12-15] In an effort to estimate the proportion of its more than 200,000 subscribers that are democrats, a magazine randomly selects 250 subscribers for a survey and finds 75 of them to be democrats. The population of interest in this case is the

- a) ?the 250 subscribers surveyed.
- b) ?proportion of those surveyed that are democrats.
- c) ?proportion of democrats among all of the subscribers.
- d) ?number of democrats in the United States.
- e) ?entire group containing all of the subscribers.

13.The parameter of interest in this case is the

- a) ?the 250 subscribers surveyed.
- b) ?proportion of those surveyed that are democrats.
- c) ?proportion of democrats among all of the subscribers.
- d) ?number of democrats in the United States.
- e) ?entire group containing all of the subscribers.

14.The appropriate statistic in this case is the

- a) ?the 250 subscribers surveyed.
- b) ?proportion of those surveyed that are democrats.
- c) ?proportion of democrats among all of the subscribers.
- d) ?number of democrats in the United States.
- e) ?entire group containing all of the subscribers.
- Whatshapebestdescribesthe distribution of the heights?

a) right skewed

b) left skewed c) symmetric d) multimodal e) negative association - What percent of the heights were 200 meters or higher?

a) Less than 10%

b) Between 20% and 30% c) Between 40% and 50% d) Between 60% and 70% e) Above 90% - Where will the median height fall? a) Between 1200 and 1400 meters b) Between 100 and 150 meters c) Between 400 and 600 meters d) Between 150 and 200 meters e) Between 300 and 400 meters

10.Which of the following values computed from these heights would you expect to be the largest?

a) the median

b) the 10th percentile c) the mean

d) the 5th percentile e) the first quartile

15.Which of the following statistics do outliers not typically impact?

a) mean

b) median

c) correlation

d) standard deviation e) All of the above

[16-18] The Tattoos Data contains the survey responses of 1,886 individuals who did not have a tattoo. The respondents answered ?Yes?(400), ?No?(1254) or ?Maybe (232)? in response to whether they intended to get a tattoo. The respondents also provided their sex (Female or Male) and their age (in years).

16.How many and what types of variables are in this data set?

- a) ?5 categorical variables and 1 quantitative variable
- b) ?1,886 quantitative variables
- c) ?1 categorical variable and 2 quantitative variables
- d) ?3 categorical variables
- e) ?2 categorical variables and 1 quantitative variable

17.What are the observational units associated with this data set?

- a) ?tattoos
- b) ?the individuals who responded
- c) ?the number of tattoos each respondent had
- d) ?the characteristics measured on the respondents
- e) ?None of the above

18.What percent of the respondents answered ?Yes? or ?Maybe? to the question about getting a tattoo?

a) 12.6%

b) 8.2% c) 20.9% d) 33.5% e) 66.5%

19.[19-20] The dot plots below represent the monthly rent (in dollars) of studio and one-bedroom apartments in Harrisburg and Philadelphia, Pennsylvania.

Which statement is true?

- a) ?There is more variability in the monthly rent of studio and one- bedroom apartments in Harrisburg than in Philadelphia.
- b) ?There is less variability in the monthly rent of studio and one- bedroom apartments in Harrisburg than in Philadelphia.
- c) ?The variability in the monthly rent of studio and one-bedroom apartments in Harrisburg and in Philadelphia is the same.
- d) ?The variability is $700.
- e) ?None of the above

20.The difference between which two values represents the middle 50% of the data?

a) IQR and the range

b) Min and the max

c) Q1andQ3

d) Median and Q3

e) Median and the max

Part II. Directions: Show all workings to receive full credit. Calculators are allowed. Good Luck!

- (30 pts) Consider again the big bang phenomenon we completed in class. Suppose a statistician, Hal Stern, examined all 968 baseball games played in the National League in 1986 and found that 419 of them contained a big bang.
- State the appropriate null and alternative hypotheses that support the claim that this sample proportion differs significantly from 0.5.
- Check and comment on whether the technical conditions for conducting this test are satisfied. (4 pts)
- Provide a well-labeled sketch of the sampling distribution under the null hypothesis. (4 pts)
- Calculate the value of the test statistic. (5 pts)
- Calculate the p-value. (4 pts)
- State your test decision at the ? = 0.02 level. (4 pts)
- Summarize your conclusion in the context of this study. (4 pts

- (40 pts.) Students in an introductory statistics class were asked to report the age of their mothers when they were born. Summary statistics include: Sample size: 28 students Sample mean: 29.643 years Sample standard deviation: 4.564 years
- Calculate the standard error of this sample mean. (3 pts.)
- Determine a 90% confidence interval for the mother?s mean age (at student?s birth) in the population of all students at this university. (7 pts.)
- Interpret this 90% confidence interval. (4 pts)
- Now suppose you want to conduct a significance test of whether the sample data provide strong evidence that the population mean mother?s age is less than 30 years.
- State the appropriate null and alternative hypotheses in symbols.
- Calculate the value of the test statistic. (5 pts.)
- Determine (as accurately as possible) the p-value of the test. (4 pts.)
- State your test decision at the ? = 0.10 significance level.(4 pts.)
- Summarize your conclusion in context of this study. (4 pts.)

Part I: Multiple Choice. Circle the correct answer choice. (2 points each)

1. [For questions 1-6] A study compared the distance ran by two groups of participants on a

treadmill. One group of...

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