Data Inferences Problem Solving

The video tutorial explains how to estimate the number of residents with a bachelor's degree or higher in a county, based on a random sample. It involves analyzing a sample of 1,500 residents, where 399 have a degree, and using this data to estimate the degree holders in a population of 635,000. The process includes simplifying calculations by rounding numbers and using fractions to approximate the result, ultimately leading to an estimate greater than 160,000 degree holders.

What was the size of the random sample surveyed?

• 2,500 residents

• 2,000 residents

• 1,500 residents

• 1,000 residents

How many residents in the sample had a bachelor's degree or higher?

• 299 residents

• 399 residents

• 499 residents

• 599 residents

What fraction of the sample had a bachelor's degree or higher?

• 399/1500

• 399/2500

• 399/2000

• 399/1000

What is the total number of residents aged 25 years or older in the county?

• 700,000

• 635,000

• 600,000

• 500,000

What is the approximate fraction used for estimation after rounding?

• 3/15

• 4/15

• 6/15

• 5/15

Why was the number 600,000 used in the calculation?

• It is closer to 700,000

• It is the exact population

• It is easier to divide by 15

• It is a random number

What is the simplified result of 4 times 40,000?

• 180,000

• 160,000

• 140,000

• 120,000

What is the final approximation of the number of residents with a bachelor's degree or higher?

• 180,000

• 169,000

• 160,000

• 150,000

What is the purpose of rounding numbers in this estimation?

• To make the numbers smaller

• To increase accuracy

• To confuse the students

• To simplify the calculation

What is the main concept demonstrated in this video?

• Random sampling

• Fraction simplification

• Estimation using sample data

• Population survey