Qualitative or Quantitative?

1. Qualitative or Quantitative? Free products are sent to a group of people for them to use and review. Qualitative John records the number of times he wins on a certain phone app. Quantitative Carol watches food court activity at the mall to see what type of food people buy more often. Qualitative

2. A magazine conducts a survey of its readers to see which perfume between two options has a longer lasting scent. This produces a qualitative result. How can they change this to be quantitative? A teacher uses two different teaching methods in two classes and uses the exam scores to determine the best method. This is quantitative research. How could she change it to be qualitative?

3. The math department at a high school wants to reward the top students in each class for their hard work. They are trying to determine the type of reward to give. What is the best method of research for them to use to come to a decision? • Survey students on what they prefer, given certain options. • Observe student reactions to various types of rewards shown in a slideshow. • All of the above. • Survey teachers on what they think the most appropriate reward would be, given certain options. • None of the above.

4. For his class research project, Jamal wants to conduct an experiment. Which of the following scenarios is an appropriate description of conducting an experiment to answer a question? • Jamal could research which superhero seems to be most popular among boys 6 to 9 years of age by asking a population of boys to select which superhero is their favorite, given choices of several of the most revered superheroes from recent movies. • Jamal could research whether more male or female students study at the campus library during weekday evenings by going to the library several evenings and counting the males and females present. • Jamal could research the effect of playing video games on social interaction by having one group play a video game with no social interaction, another group play a video game with little social interaction, and the third group play a video game that is based on social interaction. Then, the social interaction of each group is recorded as they engage in social activities with other children. • None of the above.

5. Jada enjoys studying archaeology. She learned that the population (P) of a site is dependent upon the area of a site and a constant (K) determined by geography of the region. The table below shows the relationship of one of the areas Jada researched. The equation to find the population based on area is given as P = xk. How many people lived in an area of 5 miles? • 3 • 4 • 5 • 6

6. According to the 2000 Census, Jack’s Crossing had a population of 28,509 and Water’s Edge had a population of 35,370. Jack’s Crossing is growing at a rate of 1.68% per year and Water’s Edge is declining at a rate of 0.29% per year. Create a table showing the growth/decay of each town. Jack’s Crossing Water’s Edge

7. According to the 2000 Census, Jack’s Crossing had a population of 28,509 and Water’s Edge had a population of 35,370. Jack’s Crossing is growing at a rate of 1.68% per year and Water’s Edge is declining at a rate of 0.29% per year. What are the equations that represent each town’s current population at x number of years from now. Standard exponential equation: y = abx y = population a = starting population b = rate of change x = number of years since beginning Jack’s Crossing Equation: Water’s Edge Equation: y = 28,509(1.0168)x y = 35,370(0.9971)x

8. According to the 2000 Census, Jack’s Crossing had a population of 28,509 and Water’s Edge had a population of 35,370. Jack’s Crossing is growing at a rate of 1.68% per year and Water’s Edge is declining at a rate of 0.29% per year. How long will it take for the towns to have the same population and what will the population be? Both towns will have a population of 34,255 after 11 years.

9. Samuel’s parents know the importance of saving money for the future. Samuel wonders about others in his community of approximately 35,000 people. He decides to collect data on the amount of savings of 30 adults over the age of 35. Below is the collected data showing the amount of savings, in dollars, of 30 people. Savings in Dollars Using the data above, estimate the population mean of the savings of adults over age 35. It can be estimated that adults over the age of 35 have approximately $11,723 in savings.

10. Derek heard someone say that high school quarterbacks in Texas are almost all more than 6 feet tall. Derek wonders about the validity of that statement. He decides to collect some data to estimate the mean height of high school quarterbacks playing in the state of Texas. Since it is impractical to try to measure every quarterback’s height personally, Derek decides to randomly collect a sample of the heights of 15 Texas high school quarterbacks. The heights, to the nearest inch, Derek collected are: 69”, 72”, 75”, 68”, 70”, 67”, 75”, 73”, 69”, 71”, 74”, 75”, 68”, 70”, 73” Using this data, estimate the population mean of the heights of high school quarterbacks in Texas to the nearest inch. 71” Is the average above 6’ tall? No, it is 5’11”

11. Derek heard someone say that high school quarterbacks in Texas are almost all more than 6 feet tall. Derek wonders about the validity of that statement. He decides to collect some data to estimate the mean height of high school quarterbacks playing in the state of Texas. Since it is impractical to try to measure every quarterback’s height personally, Derek decides to randomly collect a sample of the heights of 15 Texas high school quarterbacks. The heights, to the nearest inch, Derek collected are: 69”, 72”, 75”, 68”, 70”, 67”, 75”, 73”, 69”, 71”, 74”, 75”, 68”, 70”, 73” If 6’ is 72”, what percentage of the population is at least 6’ tall? Does this support the statement that almost all high school quarterbacks are more than 6’ tall? 47% - no, this is not even half of high school quarterbacks

12. A local comedian advertises that the more performances he does, the more money he makes. As his manager, you question this statement. You make the following data chart: Sketch a scatterplot to determine if the comedian is correct.

13. A local comedian advertises that the more performances he does, the more money he makes. As his manager, you question this statement. You make the following data chart: What is the relationship between the number of shows and his income?

15. Jacob saw an ad in a travel brochure that showed the average temperatures for the city of Beaches. The ad shows temperatures in Celsius but Jacob wants to change the temperatures to Fahrenheit. According to the brochure, the best times to visit are April and October. After changing the temperatures to Fahrenheit, Jacob does not agree with the travel brochure. Do you agree with Jacob or the brochure? Justify your response.

16. Jared was reviewing the salary chart above to predict his salary if he worked for his current employer for 6 more years. If Jared has worked for the company for 3 years already, what would Jared’s salary be if the current trend continues?