# Making Inferences and Justifying Conclusions

## High School Math CCSS Practice

This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:

 Question Common Core Standard # 1 S.IC.1 2 S.IC.1 3 S.IC.3 4 S.IC.4 5 S.IC.5
indicates a modeling standard.
+ indicates a college and career ready standard.

All questions of this quiz illustrate the difficulty of the high school S.IC standards required for all students, including the college and career ready students.

Question 1: Six hundred New York City residents have purchased airline tickets through the same travel agency. The following table gives the two-way classification of their destination choices.

 Male Female Totals Europe 189 195 384 Asia 49 62 111 South America 55 50 105 Totals 293 307 600

Is this a random sample, one that fairly represents the travel preferences of all US travelers?

Question 2: From a town with an adult population of 4,500, three hundred residents are to be selected to fill in a questionnaire. The questions asked will help the local government understand the overall financial situation of the residents of the town. Here are four different methods of making the selection.

A. Select the first residents that answer an ad in the local newspaper.
B. Randomly select three hundred residents that work at the main employer of the town.
C. Randomly select three hundred residents that have accounts with a local bank.
D. Randomly select the residents from a list with all residents of the town.
Which is the best sampling method, among these four, if you want to obtain a fair and representative view of the financial situation of the residents of the town?

Question 3: Two studies are conducted by two different health associations. Study A investigates the effect of smoking on lung capacity and study B investigates the lung capacity of smokers after they are treated with a combination of drugs and physical therapy.

Question 4: An opinion survey will be conducted at three corporations. Corporation A has 40,000 employees, corporation B has 60,000 employees and corporation C has 125,000 employees. The results of each survey will be used to estimate the opinions of employees at each corporation. Each survey will be conducted with a simple random sample of 500 employees. Which corporation will have its employees opinions estimated more accurately by the surveys?

Question 5: A researcher believes there is a link between the piano training of students and their ability to solve complex mathematical problems. Which of the following is the most appropriate design for the experiment??

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