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OpenStax, Introductory Business Statistics 2e §7.3 The Central Limit Theorem for Proportions · Exercise 11 · Statistics · Sampling distributions

The Central Limit Theorem for Proportions · Exercise 11

A company gives an anonymous survey to its employees to see what percent of its employees are happy. The company is too large to check each response, so samples of 50 are taken, and the tendency is that three-fourths of the employees are happy. For the mean of the sampling distribution of sample proportions, answer the following questions, if the sample size is doubled.

(a) How does this affect the mean?
(b) How does this affect the standard deviation?
(c) How does this affect the variance?

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OpenStax, Introductory Business Statistics 2e · §7.3 The Central Limit Theorem for Proportions · Exercise 11

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