Question

# Suppose that, as part of a game at a charity carnival, players are invited to spin...

Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a chance at winning either a small, medium, or large prize. The wheel is constructed so that the probability that a player wins a small prize, p, is 0.40. If a random sample of 40 players is selected, then ?̂  is the proportion of players in the sample who win a small prize.

What is the mean of the sampling distribution of ?̂?

μp^=

What is the standard deviation of the sampling distribution of ?̂? Give your answer precise to three decimal places.

σp^=

Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a chance at winning either a small, medium, or large prize. The wheel is constructed so that the probability that a player wins a small prize, ?p, is 0.40. If a random sample of 40 players is selected, then ?̂ p^ is the proportion of players in the sample who win a small prize.

What is the mean of the sampling distribution of ?̂?

μp^=

What is the standard deviation of the sampling distribution of p^? Give your answer precise to three decimal places.

σp^=

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