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## Working With Sample Surveys

#### High School Statistics - HSS-IC.B.3

What are Sample Surveys? The word sample survey is very common in statistics. It refers to the process of selecting a sample of observations/element chosen from a population of interest using the probability-based sample design to conduct a survey. The survey can be conducted with many different techniques but the process most commonly involves using a questionnaire as a tool to gather the information. More often than not, certain processes in sample surveys are used to improve the precision and control the cost of process for collecting the data. The methods used in sample surveys tend to introduce complexity in the analysis process, which is required to be taken into consideration to produce impartial estimates. The samples of a survey can be divided into braid categories of 1)Probability samples or 2)Super Samples. It is one method or technique most researches or statisticians use in their researches to find a relationship between two or more variables. The samples taken for the survey are either randomly selected or self-selected. The most common advantage of sampling is its ease of use and accurate representation of large population. This collection of worksheets and lessons helps students learn to collect data and interpret the value and usefulness of sample surveys.

### Printable Worksheets And Lessons  #### Homework Sheets

I always found this skill fascinating, in terms of the applications.

• Homework 1 - A survey was about to be conducted on the support of wearing school uniforms. The researchers wanted to insure a 3.5 margin of error with a confidence level of 85%. It was found that 20% of people support school uniforms. What is minimum number of people that would need to be surveyed to reach the margin of error level presented?
• Homework 2 - A large automotive parts wholesaler needs an estimate of the mean life it can expect from a windshield wiper blade with a 99% confidence level. The accepted theory was that wipers had a life span of 18 months. This study found the mean life to be 10 months. What sample size must be surveyed to reveal this level of confidence?
• Homework 3 - A survey was looking for the number of T-shirts a family wears over the course of their entire lives. What would the sample size need to be to have a 99% confidence and accuracy of 3,130 with a 2.1 margin of error? A standard deviation of 6.2 is expected.

#### Practice Worksheets

This is where data really can help large organizations make decisions.

• Practice 1 - The ACT scores of students had margin of error 4.32 with a confidence level of 95%. Initially the scores estimated the mean on the test to be 45%. The scores had a standard deviation of 28. What was sample size surveyed?
• Practice 2 - Find the sample size of a survey that has a margin of error of 40, a confidence interval 99%, and an outcome of 70%. The data is binomial and you are taking a sample proportion.
• Practice 3 - Find the margin of error with a sample mean of 2.34, a confidence interval 90%, and an outcome of 60%. The data is binomial and you are taking a sample proportion.

#### Math Skill Quizzes

I focused more on the data here. We haven't seen many deep thought questions like the practice sheets on national exams.

• Quiz 1 - The data presented is binomial and you are taking a sample proportion.
• Quiz 2 - Find the margin of error with a sample mean of 15.24, a confidence interval 99%, and an accuracy of 40%.
• Quiz 3 - Find the final value of n.