Question
2. Consider many measurements with mean x and median m, both of which are equal to 7. Which of the following best describes what would
2. Consider many measurements with mean x and median m, both of which are equal to 7. Which of the following best describes what would happen if the measurement x=9 was replaced by x=20?
a. impossible to determine
b. x and m would both stay the same
c. x and m would both increase
d. m would increase and x would increase or stay the same
e. x would increase and m would increase or stay the same
3. The data {1,2,3,4,5,6,7,7,7,13} has 5-number summary {1,3,5.5,7,12}. Which of the following best addresses the outlier status of the observation x=12?
a. it's an outlier since it's bigger than 1.5 times the interquartile range (6)
b. it's not an outlier since it's not bigger than 1.5 times the interquartile range plus the third quartile (13)
c. it's not an outlier since it's pretty close to the rest of the data
d. it's an outlier since it's bigger than the interquartile range (4)
e. it's an outlier since it's a lot bigger than the rest of the data
4. Match the following data types with the graphic that would be appropriate to present them:
A pair of quantitative variables
a. A two-way table
b. scatter plots
c. bar chart
d. histogram
A qualitative variable
a. A two-way table
b. scatter plots
c. bar chart
d. histogram
A quantitative variable
a. A two-way table
b. scatter plots
c. bar chart
d. histogram
A pair of qualitative variables
a. A two-way table
b. scatter plots
c. bar chart
d. histogram
5. Which of the following, if any, are experiments?
a. 100 random people were put into 2 groups. One of the groups was given a cup of water and the other group was given a cup of caffeinated water. The number of push-ups they could then do was recorded.
b. Dolphins were observed at various times during the day (morning, afternoon, evening, and night) and their activities (eating, socializing, fighting, and traveling) were recorded.
c. 1000 random people from colleges in northern Arizona were selected. Their GPAs and amount of weekly time spent playing video games were recorded and a scatter plot showed a strong negative relationship between the variables.
6. Which of the following variables are qualitative/categorical?
a. Fry order size (small, medium, large)
b. Shoe length (measured in cm, in, ft, etc.)
c. Potato weight
d. Shoe size (4, 5.5, 10, 12.5, 9W, etc.)
e. Time between sneezes
f. Hair color
7. Match the following sampling designs with the type of sampling they are. In all cases, the goal would be to study the average height of college-aged students.
Get a roster of all college-aged students and use a computer to randomly select those to measure.
a. Simple random sampling
b. Stratified sampling
c. cluster sampling
d. systematic sampling
Divide all college-aged students into groups based on race, then randomly sample some people from each category to measure.
a. Simple random sampling
b. Stratified sampling
c. cluster sampling
d. systematic sampling
Divide all college-aged students into groups based off of which neighborhood/drom they live in, randomly select some number of neighborhoods/dorms to visit, then measure each person in those neighborhoods/dorms.
a. Simple random sampling
b. Stratified sampling
c. cluster sampling
d. systematic sampling
Get a roster of all college-aged students and measure every fifth person on the roster.
a. Simple random sampling
b. Stratified sampling
c. cluster sampling
d. systematic sampling
8. Of all the statistics students I have this semester, 12 go to CCC and 65 go to NAU. Of those who go to CCC, 7 have pets. Of those who go to NAU, 42 have pets.
What is the probability that a random student of mine has a pet? Round your answer to 4 decimal places.
9. What is the probability that a random student of mine has a pet and goes to CCC? Round your answer to 4 decimal places.
10. What is the probability that a random student of mine has a pet or goes to CCC? Round your answer to 4 decimal places.
11. What is the probability that a random CCC student of mine has a pet?Round your answer to 4 decimal places.
12.What is the probability that a random pet-owning student of mine goes to NAU? Round your answer to 4 decimal places.
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