# Situation Described, Identify the Type of Sampling Involved

See the attached file.

1. Given the situation described, identify the type of sampling involved. A fraternity assigned an ID number to each of its current pledges. Twenty-eight of the numbers are chosen by drawing them out of a hat. Each fraternity member whose number was drawn is asked about his level of alcohol use.

(Points : 5)

random sampling

systematic sampling

convenience sampling

stratified sampling

cluster sampling

2. The 1st quartile on a set of data of sampled wind speeds in an area considering using wind power is 9.1 m/sec. Interpret its meaning.

(Points : 7)

3. Given the bar graph below, create a grouped frequency distribution and submit it to the Week 6, Assignment 2 dropbox.

4. The number of bowls of soup served was sampled during a lunch period 11:00 a.m. - 2:30 p.m. at a soup stand on a weekday. Below is the sample:

71 63 92 58 116 74 92 101 112 63

92 91 63 54 76 95 76

From this data set, compute the sample mean, median, mode and midrange. Compute the 1st

quartile and 3rd and interpret their meanings.

5. A medical equipment manufacturing company tested the reliability of blood pressure monitors.

It measured the time to failure of 20 randomly sampled monitors it produced. Listed below are the 20 measurements (in months) for the time to first failure.

14 37 36 23 37 1 27 6 19 15

14 41 6 7 27 7 13 12 5 12

Construct a stem and leaf plot of the data.

6. Below are the home states of 19 college professors.

New Jersey Ohio Michigan Georgia Nebraska

Wisconsin Ohio South Carolina Pennsylvania Michigan

Georgia New Jersey Wisconsin Georgia Ohio

Florida Georgia New Jersey South Carolina

i. Make a frequency table using these 9 states:

Florida

Georgia

Michigan

Nebraska

New Jersey

Ohio

Pennsylvania

South Carolina

Wisconsin

ii. What is (are) the mode(s)?

iii. Does it make sense to talk about the average for this data? Why or why not?

iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table:

Home State Frequency Percentage of total Measure of Central Angle (in degrees)

Florida

Georgia

Michigan

Nebraska

New Jersey

Ohio

Pennsylvania

South Carolina

Wisconsin

Submit your solutions to the Week 6, Assignment 2 dropbox.

7. The cardinal number of the set {yellow, blue, red, green, purple, orange} is _________.

(Points : 6)

8. The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 54 said they had taken physics, 92 said they had taken chemistry and 16 said they had taken both. Eight said they had taken neither. How many recent high school grads were surveyed? Show your work.

(Points : 7)

9. Given the diagram below, find P ∩ Q. Write in correct set notation.

10. Form the contrapositive: If I do not change my car's oil, then my car will have engine trouble. (Points : 5)

If I change my car's oil, then my car will not have engine trouble.

If my car has engine trouble, then I did not change my car's oil.

If my car does not have engine trouble, then I did not change my car's oil.

If my car does not have engine trouble, then I changed my car's oil.

If my car has engine trouble, then I changed my car's oil.

11. Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.

p = I eat too much

q = I'll exercise.

I'll exercise if I don't eat too much. (Points : 5)

~(p q)

p q p q ~(p q)

T T T T

T F F F

F T F T

F F T F

~(p q)

p q p q ~(p q)

T T T F

T F F T

F T F F

F F T F

~p q

p q ~p ~p q

T T F T

T F F T

F T T T

F F T F

~p q

p q ~p ~p q

T T F F

T F F F

F T T T

F F T F

12. Find the supplementary angle of 34°. (Points : 5)

146°

56°

34°

68°

13. What is the exact circumference of a circle with a diameter of 23 inches? (Points : 5)

72.3p inches

11.5p inches

23p inches

46p inches

529p inches

14. Find the volume of the pyramid with a rectangular base shown below.

(Points : 5)

80 cubic inches

240 cubic inches

30 cubic inches

66 2/3 cubic inches

96 cubic inches

15. The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 10. If 100 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects? (Points : 7)

16. If the odds of winning a raffle are 12:258, what is the probability of winning?

(Points : 5)

12/270

12/258

258/270

258/12

17. One thousand raffle tickets are sold for $1.00 each. One grand prize of $200 and two consolation prizes of $50 each will be awarded. Jeremy purchases one ticket. Find his expected value. Show your work for full credit.

(Points : 7)

A bag contains 9 pink marbles, 6 green marbles and 14 brown marbles. What is the chance of drawing a pink marble? If a pink marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a green marble? Give solutions exactly in reduced fraction form, separated by a comma.

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#### Solution Preview

See the attached MS Word doc for full solution.

3. Given the bar graph below, create a grouped frequency distribution and submit it to the Week 6, Assignment 2 dropbox.

From the bar chart we can read what the values in the data set were that was used to make the bar chart: 19(US), 17(France), 18(Japan), 21(Philippines), 21(Egypt), 16(Spain), 23(Thailand), 17(Hong Kong) and 16(Poland). A frequency distribution lists each value (or a range of values) and the number of times (frequency) that it occurred in the data set.

We could list each individual value in the data set together with the number of times each occurred like this:

Amount of Time Spent Watching Television (Hours per Week)

TV Time Frequency

16 2

17 2

18 1

19 1

20 0

21 2

22 0

23 1

Or the values may be presented grouped in intervals like this:

TV ...

#### Solution Summary

The solution identifies the types of sampling involved.