Discuss the below:
Q1. 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.
random sampling
systematic sampling
convenience sampling
stratified sampling
cluster sampling
Q2. 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.
Q3. Given the bar graph below, create a grouped frequency distribution
Q4. 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.
Q5. 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.
Q6. 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
Qi. 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:
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Home State
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Frequency
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Percentage of total
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Measure of Central Angle (in degrees)
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Florida
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Georgia
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Michigan
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Nebraska
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New Jersey
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Ohio
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Pennsylvania
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South Carolina
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Wisconsin
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Q7. The cardinal number of the set {yellow, blue, red, green, purple, orange} is _________.
Q8. 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.
Q9. Given the diagram below, find P ∩ Q. Write in correct set notation.
Q10. Form the contrapositive: If I do not change my car's oil, then my car will have engine trouble. 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.
Q11. 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
~(p q)
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p
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q
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p q
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~(p q)
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T
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T
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T
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T
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T
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F
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F
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F
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F
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T
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F
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T
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F
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F
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T
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F
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~(p q)
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p
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q
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p q
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~(p q)
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T
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T
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T
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F
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T
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F
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F
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T
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F
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T
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F
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F
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F
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F
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T
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F
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~p q
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p
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q
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~p
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~p q
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T
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T
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F
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T
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T
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F
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F
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T
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F
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T
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T
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T
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F
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F
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T
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F
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~p q
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p
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q
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~p
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~p q
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T
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T
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F
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F
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T
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F
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F
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F
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F
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T
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T
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T
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F
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F
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T
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F
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12. Find the supplementary angle of 34°.
146°
56°
34°
68°
13. What is the exact circumference of a circle with a diameter of 23 inches?
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.
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?
16. If the odds of winning a raffle are 12:258, what is the probability of winning?
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.
18. 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.