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MATH 101 Exam 1 - Problems and Instructions, Exams of Mathematics

The instructions and problems for a math 101 exam, including statistical analysis questions. Students are required to use a no. 2 pencil and fill in the answer form with their last name, zid number, and section. The exam covers topics such as median and mean of data sets, normal distributions, and quartiles.

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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Name (printed) Section
Name (signature) Regular Assigned Seat
ZID. NO.
MATH 101, Lecture B EXAM 1 FORM A
February, 2004 3:00-3:50 p.m.
INSTRUCTIONS:
1. Use a No. 2 pencil.
2. Write your last name and initials in the appropriate boxes on the answer form, and fill
in the corresponding letter ovals.
3. Write your ZID number in the appropriate boxes on the answer form starting at the
left end, and fill in the corresponding number ovals.
4. Write your recitation section (01, ..., 08) in the boxes marked “Section”. Fill in the
appropriate ovals.
5. Fill in the oval corresponding to your Form number (A or B).
6. Write your REGULAR row and set number in the space marked DEPT.
7. There are 20 questions. It is YOUR responsibility to see that you have a complete
examination form.
8. There is a copy of the normal curve table at the end of the examination form and some
formulas.
9. When you have finished, you are to turn in your answer form, and your signed exami-
nation copy. Have your identification card ready.
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Problems 1 and 2 use the following:
The new Westlake Mall had a grand opening sale day. A newspaper poll of
shoppers showed the following no. of purchases made that day.
Purchases No. of shoppers
0 3
1 8
2 17
4 17
5 31
6 6
1. What is the median of this data set?
(a) 3 (b) 17 (c) 31 (d) 4 (e) 5
1
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Name (printed) Section Name (signature) Regular Assigned Seat ZID. NO. MATH 101, Lecture B EXAM 1 FORM A February, 2004 3:00-3:50 p.m. INSTRUCTIONS:

  1. Use a No. 2 pencil.
  2. Write your last name and initials in the appropriate boxes on the answer form, and fill in the corresponding letter ovals.
  3. Write your ZID number in the appropriate boxes on the answer form starting at the left end, and fill in the corresponding number ovals.
  4. Write your recitation section (01, ..., 08) in the boxes marked “Section”. Fill in the appropriate ovals.
  5. Fill in the oval corresponding to your Form number (A or B).
  6. Write your REGULAR row and set number in the space marked DEPT.
  7. There are 20 questions. It is YOUR responsibility to see that you have a complete examination form.
  8. There is a copy of the normal curve table at the end of the examination form and some formulas.
  9. When you have finished, you are to turn in your answer form, and your signed exami- nation copy. Have your identification card ready. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA Problems 1 and 2 use the following: The new Westlake Mall had a grand opening sale day. A newspaper poll of shoppers showed the following no. of purchases made that day.

Purchases No. of shoppers 0 3 1 8 2 17 4 17 5 31 6 6

  1. What is the median of this data set? (a) 3 (b) 17 (c) 31 (d) 4 (e) 5
  1. What is the mean of this data set? (a) 3.67 (b) 3 (c) 13.67 (d) 5 (e) 4
  2. A newspaper reported that an oil spill in the Pacific Ocean is circular in shape with area which is varying indirectly with time. Which of the following is true? (a) The circumference of the spill is increasing as time goes on. (b) The radius of the circular spill is getting longer as time goes on. (c) The area of the circular spill is getting larger as time goes on. (d) The area of the spill is getting smaller as time goes on. (e) The area and the circumference of the spill are both increasing.
  3. Joe and Clark each own shares of stock. For a given 5 day period a share of stock in Joe’s company is given in dollars by the quantity 1.50 +. 75 x where x is the day. For the same period Clark’s stock has the dollar value 2 +. 25 x where x is the day. Which of the following is true? (a) A share of Clark’s stock was worth less in value at the beginning of the 5 day period than a share of Joe’s. (b) Joe’s stock is increasing in value faster than Clark’s. (c) A share of Clark’s stock is worth more than a share of Joe’s on day 2 of the period. (d) A share of Clark’s stock is always worth less than a share of Joe’s. (e) None of the above.
  4. Which of the following is not a characteristic of a normal distribution?

(a) 50% of the data is less than or equal to the mode. (b) The graph of the distribution is symmetric about the line x = μ. (c) The range of the data is about 5σ. (d) About 95% of the data is between μ − 2 σ and μ + 2σ. (e) The mean, median, and mode are identical.

  1. A water park manager in Cypress Falls, Florida, is trying to determine the number of egrets in the park. He has 67 egrets captured, tagged, and released back into their habitat. Later he captures 45 egrets of which 18 were tagged. What estimate will he have for the number of egrets in the park? (a) 810 (b) 134 (c) 27 (d) 12 (e) 168
  2. Dora had her eye on a house which advertised an asking price of $212,000. Two weeks later she heard that the owner was willing to sell the house for 15% less. She checked with a local bank and found she would need 12% more than the sale price to cover closing costs. How much money does she need to buy the house? (a) $205,640 (b) $218,360 (c) $180,200 (d) $201,824 (e) $214,
  3. Consider the frequency distributions below:

Sfrag replacements

I. II. III.

Which of the following is true? (a) I and III are normal distributions with different standard deviations. (b) The standard deviation of III is smaller than the standard deviation of I. (c) Only III is a normal distribution. (d) I and II are normal distributions with the same mode. (e) Only II is a normal distribution.

  1. Pizza delivery times recorded by two different shops showed Pop’s Pizza has a mean delivery time of 42 minutes with a standard deviation of 4.5 minutes, while Great Pizza has a mean delivery time of 45 minutes with a standard deviation of 5 minutes: Which of the following is true? (a) Great Pizza’s delivery times are more uniform than Pop’s. (b) Great Pizza’s mean delivery time is less than Pop’s. (c) Great Pizza and Pop’s Pizza’s delivery times are equally uniform. (d) Pop’s Pizza’s delivery times are more uniform than those of Great Pizza. (e) Pop’s mean delivery time is larger than that of Great Pizza.
  1. Steve has a game board spinner which can land on one of four colors – red, blue, green or yellow. Steve spins the pointer 300 times and records 61 blue lands, 61 red lands, 90 green lands and 88 yellow lands. What is the probability the spinner will not land on yellow? (a) .71 (d). (b) .41 (e). (c).
  2. A large number of household businesses were polled nationwide concerning their monthly phone service costs. The mean cost quoted was $629.74 with a standard deviation of $94.46. If a large number of samples of size 50 was chosen from the companies surveyed and the mean cost for each sample was computed and put in a table, what should you expect to be the standard deviation of the data in the table? (a) $629. (b) $1. (c) $13. (d) $89. (e) $94.
  3. A small classroom has three rows labeled A, B, and C, with 5 seats in each row, numbered one through five. What is the probability that a person is seated in a seat numbered 3 or in row C? (a). (b). (c). (d). (e).
  4. An educational researcher wants to know whether men or women at a particular college tend to ask more questions in class. Of the 10,000 students at the college, she interviews 50 randomly selected men and 50 randomly selected women. Her method of sampling is (a) judgment sampling (b) simple random sampling (c) stratified sampling (d) systematic sampling (e) convenience sampling