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Asked by Maddie McCorvey on Jun 11, 2024

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A sample of 25 observations is taken from an infinite population.The sampling distribution of A sample of 25 observations is taken from an infinite population.The sampling distribution of is A) not normal since n < 30. B) approximately normal because is always normally distributed. C) approximately normal if np 5 and n(1-P) 5. D) approximately normal if np > 30 and n(1-P) > 30. is

A) not normal since n < 30.
B) approximately normal because A sample of 25 observations is taken from an infinite population.The sampling distribution of is A) not normal since n < 30. B) approximately normal because is always normally distributed. C) approximately normal if np 5 and n(1-P) 5. D) approximately normal if np > 30 and n(1-P) > 30. is always normally distributed.
C) approximately normal if np A sample of 25 observations is taken from an infinite population.The sampling distribution of is A) not normal since n < 30. B) approximately normal because is always normally distributed. C) approximately normal if np 5 and n(1-P) 5. D) approximately normal if np > 30 and n(1-P) > 30. 5 and n(1-P) A sample of 25 observations is taken from an infinite population.The sampling distribution of is A) not normal since n < 30. B) approximately normal because is always normally distributed. C) approximately normal if np 5 and n(1-P) 5. D) approximately normal if np > 30 and n(1-P) > 30. 5.
D) approximately normal if np > 30 and n(1-P) > 30.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, which can be used to make inferences about a population.

  • Elucidate on the properties and relevance of sampling distributions in statistical sampling methodologies.
  • Attain familiarity with the central limit theorem, including its significance for the distribution patterns of sample means.
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JJ
Jessica JohnsonJun 17, 2024
Final Answer :
C
Explanation :
The given sampling distribution is that of a proportion, which is approximately normal if np and n(1-P) are both greater than or equal to 5. Therefore, option C is the best choice. Options A and D can be eliminated as they make incorrect claims about the normality of the distribution. Option B is incorrect as the fact that The given sampling distribution is that of a proportion, which is approximately normal if np and n(1-P) are both greater than or equal to 5. Therefore, option C is the best choice. Options A and D can be eliminated as they make incorrect claims about the normality of the distribution. Option B is incorrect as the fact that is normally distributed does not guarantee that its sampling distribution (in this case, the proportion) will also be normal. is normally distributed does not guarantee that its sampling distribution (in this case, the proportion) will also be normal.

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