7.DS.A.2: Use data from random samples to make and evaluate estimates or predictions about a population. a. Use data from a single random sample to estimate an unknown characteristic of a population. b. Generate and compare multiple random samples of the same size and use the variability across samples to assess how reliable an estimate or prediction is.

Use data from random samples to make and evaluate estimates or predictions about a population. a. Use data from a single random sample to estimate an unknown characteristic of a population. b. Generate and compare multiple random samples of the same size and use the variability across samples to assess how reliable an estimate or prediction is.

Example Problems

Angie, Bridget, Carlos, and Diego are seated at random around a square table, one person to a side. What is the

\text{theoretical probability}

that Angie and Carlos are seated opposite each other?

A fair

\text{six-sided}

die is rolled twice. What is the

\text{theoretical probability}

that the first number that comes up is

\text{greater than or equal to}

the second number?

A game studio wants to make a one-sample

z

-interval to estimate the proportion of Minecraft players who play on a mobile device. They want the margin of error to be no more than

\pm 3\%

at

90\%

confidence.

What is the smallest sample size required to obtain the desired margin of error?

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