BackYou want to know the favorite spring break destination among 15,000 students at a university. Determine whether you would take a census or use a sampling. If you would use a sampling, determine which sampling technique you would use. Explain your reasoning.
Determine whether the data are qualitative or quantitative. Explain.
A list of debit card personal identification numbers
Determine the level of measurement of the data set. Explain your reasoning.
The horsepowers of racing car engines
Determine whether the study is an observational study or an experiment. Explain.
Researchers conduct a study to determine whether cataract surgery patients experience different comfort levels during their first and second surgeries. Researchers based their results on a verbal questionnaire. (Source: Medicine)
Determine whether each number describes a population parameter or a sample statistic. Explain.
In a recent year, the average evidence-based reading and writing score on the SAT was 528. (Source: College Board)
Identify the sampling technique used, and discuss potential sources of bias (if any). Explain.
Questioning teachers as they leave a faculty lounge, a researcher asks 45 of them about their teaching styles.
What Would You Do? You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You do not want to put in too much (which would cause security concerns) or too little (which may create customer irritation). The daily withdrawals (in hundreds of dollars) for 30 days are listed. 72 84 61 76 104 76 86 92 80 88 98 76 97 82 84 67 70 81 82 89 74 73 86 81 85 78 82 80 91 83
If you put $9000 in the ATM each day, what percent of the days in a month should you expect to run out of cash? Explain.
What Would You Do? You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You do not want to put in too much (which would cause security concerns) or too little (which may create customer irritation). The daily withdrawals (in hundreds of dollars) for 30 days are listed. 72 84 61 76 104 76 86 92 80 88 98 76 97 82 84 67 70 81 82 89 74 73 86 81 85 78 82 80 91 83
If you are willing to run out of cash on 10% of the days, how much cash should you put in the ATM each day? Explain.
What Would You Do? The admissions department for a college is asked to recommend the minimum SAT scores that the college will accept for full-time students. The SAT scores of 50 applicants are listed. 1170 1000 910 870 1070 1290 920 1470 1080 1180 770 900 1120 1070 1370 1160 970 930 1240 1270 1250 1330 1010 1010 1410 1130 1210 1240 960 820 650 1010 1190 1500 1400 1270 1310 1050 950 1150 1450 1290 1310 1100 1330 1410 840 1040 1090 1080
If you want to accept the top 88% of the applicants, what should the minimum score be? Explain.
Extending Concepts
Golf The distances (in yards) for nine holes of a golf course are listed.
336 393 408 522 147 504 177 375 360
b. Convert the distances to feet. Then rework part (a).
Extending Concepts
Golf The distances (in yards) for nine holes of a golf course are listed.
336 393 408 522 147 504 177 375 360
c. Compare the measures you found in part (b) with those found in part (a). What do you notice?
In Exercises 1 and 2, identify the sampling technique used, and discuss potential sources of bias (if any). Explain.
Using random digit dialing, researchers asked 1090 U.S. adults their level of education.
In Exercises 4 and 5, determine whether the number is a parameter or a statistic. Explain your reasoning.
In 2021, the median annual salary of a first-year chemist was $58,700.
In Exercises 9 and 10, determine whether the study is an observational study or an experiment. Explain.
To study the effect of using digital devices in the classroom on exam performance, researchers divided 726 undergraduate students into three groups, including a group that was allowed to use digital devices, a group that had restricted access to tablets, and a control group that was “technologyfree.” (Source: Massachusetts Institute of Technology)
In Exercises 11 and 12, determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set.
The six top-earning states in 2019 by median household income are listed. (Source: U.S. Census Bureau)
1. Maryland 2. New Jersey 3. Hawaii
4. Massachusetts 5. Connecticut 6. Alaska