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STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 1 of 6

STAT 200

US1/OL1 Sections

Final Exam

Fall 2014

The final exam will be posted in the Conference at 12:01 am on October 10, and it is due at 11:59 pm on October 12, 2014.

Eastern Time is our reference time.

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 2 of 6

Answer all 30 questions. Make sure your answers are as complete as possible.

Show all of your work and reasoning. In particular, when there are

calculations involved, you must show how you come up with your answers

with critical work and/or necessary tables. Answers that come straight from

programs or software packages will not be accepted.

This exam has 300 total points.

You must include the Honor Pledge on the title page of your submitted final

exam. Exams submitted without the Honor Pledge will not be accepted.

1. Determine whether the given value is a statistic or parameter. (4 pts)

(a) In a STAT 200 student survey, 20% of the respondents said that they had to take

time off from work to study for the course.

(b) The average lifetime of all street lights in UMUC Academic Center is 20,000 hours.

2. True of False. (8 pts)

(a) Mean is a better measure of center than median because mean is not affected by

extreme values from a data set.

(b) If the variance from a data set is zero, then all the observations in this data set are the

same.

(c) It is possible that a data set does not have a mode.

(d) P(A and A) 1, whereA is the complement of A.

Refer to the following frequency distribution for Questions 3, 4, 5, and 6. Show all work. Just the

answer, without supporting work, will receive no credit.

The frequency distribution below shows the distribution for checkout time (in minutes) in

UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon.

Checkout Time (in minutes) Frequency

1.0 - 1.9 6

2.0 - 2.9 5

3.0 - 3.9 4

4.0 - 4.9 3

5.0 - 5.9 2

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 3 of 6

3. What percentage of the checkout times was at least 4 minutes? (5 pts)

4. Calculate the mean of this frequency distribution. (5 pts)

5. Calculate the standard deviation of this frequency distribution. (Round the answer to two decimal places) (10 pts)

6. Assume that the smallest observation in this dataset is 1.2 minutes. Suppose this observation were incorrectly recorded as 0.12 instead of 1.2. Will the mean increase, decrease, or remain the same? Will the median increase, decrease or remain the same? Explain your answers. (5 pts)

Refer to the following data to answer questions 7 and 8. Show all work. Just the answer, without supporting work, will receive no credit.

A random sample of STAT200 weekly study times in hours is as follows:

1 13 15 18 20

7. Find the standard deviation. (Round the answer to two decimal places) (10 pts)

8. Are any of these study times considered unusual based on the Range Rule of Thumb? Show work and explain. (5 pts)

Refer to the following information for Questions 9, 10 and 11. Show all work. Just the answer, without supporting work, will receive no credit.

Consider selecting one card at a time without replacement from a 52-card deck. Let event A be the first card is a heart, and event B be the second card is a heart.

9. What is the probability that the first card is a heart and the second card is also a heart?

(Express the answer in simplest fraction form) (8 pts)

10. What is the probability that the second card is a heart, given that the first card is a heart? (Express the answer in simplest fraction form) (8 pts)

11. Are A and B independent? Why or why not? (2 pts)

Refer to the following information for Questions 12 and 13. Show all work. Just the answer, without supporting work, will receive no credit.

There are 1500 juniors in a college. Among the 1500 juniors, 200 students are taking STAT200, and 100 students are taking PSYC300. There are 50 students taking both courses.

12. What is the probability that a randomly selected junior is in neither of the two courses? (10 pts)

13. What is the probability that a randomly selected junior takes only one course? (10 pts)

Refer to the following information for Questions 14, and 15. Show all work. Just the answer, without supporting work, will receive no credit.

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 4 of 6

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 1 of 6

STAT 200

US1/OL1 Sections

Final Exam

Fall 2014

The final exam will be posted in the Conference at 12:01 am on October 10, and it is due at 11:59 pm on October 12, 2014.

Eastern Time is our reference time.

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 2 of 6

Answer all 30 questions. Make sure your answers are as complete as possible.

Show all of your work and reasoning. In particular, when there are

calculations involved, you must show how you come up with your answers

with critical work and/or necessary tables. Answers that come straight from

programs or software packages will not be accepted.

This exam has 300 total points.

You must include the Honor Pledge on the title page of your submitted final

exam. Exams submitted without the Honor Pledge will not be accepted.

1. Determine whether the given value is a statistic or parameter. (4 pts)

(a) In a STAT 200 student survey, 20% of the respondents said that they had to take

time off from work to study for the course.

(b) The average lifetime of all street lights in UMUC Academic Center is 20,000 hours.

2. True of False. (8 pts)

(a) Mean is a better measure of center than median because mean is not affected by

extreme values from a data set.

(b) If the variance from a data set is zero, then all the observations in this data set are the

same.

(c) It is possible that a data set does not have a mode.

(d) P(A and A) 1, whereA is the complement of A.

Refer to the following frequency distribution for Questions 3, 4, 5, and 6. Show all work. Just the

answer, without supporting work, will receive no credit.

The frequency distribution below shows the distribution for checkout time (in minutes) in

UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon.

Checkout Time (in minutes) Frequency

1.0 - 1.9 6

2.0 - 2.9 5

3.0 - 3.9 4

4.0 - 4.9 3

5.0 - 5.9 2

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 3 of 6

3. What percentage of the checkout times was at least 4 minutes? (5 pts)

4. Calculate the mean of this frequency distribution. (5 pts)

5. Calculate the standard deviation of this frequency distribution. (Round the answer to two decimal places) (10 pts)

6. Assume that the smallest observation in this dataset is 1.2 minutes. Suppose this observation were incorrectly recorded as 0.12 instead of 1.2. Will the mean increase, decrease, or remain the same? Will the median increase, decrease or remain the same? Explain your answers. (5 pts)

Refer to the following data to answer questions 7 and 8. Show all work. Just the answer, without supporting work, will receive no credit.

A random sample of STAT200 weekly study times in hours is as follows:

1 13 15 18 20

7. Find the standard deviation. (Round the answer to two decimal places) (10 pts)

8. Are any of these study times considered unusual based on the Range Rule of Thumb? Show work and explain. (5 pts)

Refer to the following information for Questions 9, 10 and 11. Show all work. Just the answer, without supporting work, will receive no credit.

Consider selecting one card at a time without replacement from a 52-card deck. Let event A be the first card is a heart, and event B be the second card is a heart.

9. What is the probability that the first card is a heart and the second card is also a heart?

(Express the answer in simplest fraction form) (8 pts)

10. What is the probability that the second card is a heart, given that the first card is a heart? (Express the answer in simplest fraction form) (8 pts)

11. Are A and B independent? Why or why not? (2 pts)

Refer to the following information for Questions 12 and 13. Show all work. Just the answer, without supporting work, will receive no credit.

There are 1500 juniors in a college. Among the 1500 juniors, 200 students are taking STAT200, and 100 students are taking PSYC300. There are 50 students taking both courses.

12. What is the probability that a randomly selected junior is in neither of the two courses? (10 pts)

13. What is the probability that a randomly selected junior takes only one course? (10 pts)

Refer to the following information for Questions 14, and 15. Show all work. Just the answer, without supporting work, will receive no credit.

STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL1 Page 4 of 6

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