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A recent report stated that 17% of the U.S. population has blue eyes, assume that this claim is
true. Suppose that a genetic researcher randomly selects 400 U.S. citizens and assume that the
sample satisfies the conditions for the Central Limit Theorem. 7. What percent of the sample
should have blue eyes (success)? 8. What percent of the sample should not have blue eyes
(failure)? 9. Calculate the standard error for this sampling distribution. Leave answer in decimal
form and round answer to 3 decimal places. 10. What is the probability that a sample of this size
will contain more than 20% blue eyed people? 11. What is the probability that a sample of this
size will contain less than 13% blue eyed people? 12. Suppose that a sample of this size contains
11% blue eyed people; is that unusual? Explai 13. Suppose the researcher resamples from the
population, but the size of the sample is reduced to 200 people. What will happen to the standard
error?

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A recent report stated that 17 of the U.S. population has blue eyes,.pdf

  • 1. A recent report stated that 17% of the U.S. population has blue eyes, assume that this claim is true. Suppose that a genetic researcher randomly selects 400 U.S. citizens and assume that the sample satisfies the conditions for the Central Limit Theorem. 7. What percent of the sample should have blue eyes (success)? 8. What percent of the sample should not have blue eyes (failure)? 9. Calculate the standard error for this sampling distribution. Leave answer in decimal form and round answer to 3 decimal places. 10. What is the probability that a sample of this size will contain more than 20% blue eyed people? 11. What is the probability that a sample of this size will contain less than 13% blue eyed people? 12. Suppose that a sample of this size contains 11% blue eyed people; is that unusual? Explai 13. Suppose the researcher resamples from the population, but the size of the sample is reduced to 200 people. What will happen to the standard error?