CB.Stats.UNC-3.Q: Determine parameters of a sampling distribution for a sample mean.

Determine parameters of a sampling distribution for a sample mean.

Example Problems
A volleyball coach plans to take an SRS of 60 serves from recent practices to see what proportion of sampled serves were aces. Suppose that of serves from the team's top server are aces.

Let
represent the proportion of a sample of 60 serves that are aces.

What is the mean of the sampling distribution of
?
A basketball coach plans to take an SRS of 50 games from past seasons to see what proportion of games sampled were won by the home team. Suppose that of games in the league are won by the home team.

Let
represent the proportion of a sample of 50 games won by the home team.

What is the mean of the sampling distribution of
?
A track and field coach plans to take an SRS of 40 high jump attempts at meets to see what proportion of sampled attempts cleared the bar. Suppose that of attempts by athletes at this level clear the bar.

Let
represent the proportion of a sample of 40 attempts that clear the bar.

What is the mean of the sampling distribution of
?
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