Central Limit Theorem Review

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Questions and Answers

What is the mean of the sampling distribution of means?

  • It is equal to the standard deviation of the population
  • It is equal to the mean of the population (correct)
  • It is equal to the variance of the population
  • It is always 0

What is the formula for the variance of the sampling distribution of means?

  • n/σ^2
  • σ^2/n (correct)
  • σ^2 × n
  • σ/n

What is the formula for the standard deviation of the sampling distribution of means?

  • n/σ
  • σ × √n
  • √(σ^2/n)
  • σ/(√n) (correct)

What is the condition for the sampling distribution of the mean to be normally distributed?

<p>The sample size must be large enough (D)</p> Signup and view all the answers

What is the term 'with replacement' associated with in the Central Limit Theorem?

<p>Random sampling with repetition (A)</p> Signup and view all the answers

What type of distribution is used when the sample size is small and the data variance is unknown?

<p>t-distribution (A)</p> Signup and view all the answers

What type of test is used when looking for an 'increase' or 'decrease' in the parameter?

<p>One-tailed test (A)</p> Signup and view all the answers

How do you adjust the sample size to find the value in the Table of t Critical Values?

<p>df = n - 1 (C)</p> Signup and view all the answers

What is the confidence level in a hypothesis test?

<p>The probability that the confidence interval contains the true population parameter (D)</p> Signup and view all the answers

What type of test is used when looking for a 'change' in the parameter?

<p>Two-tailed test (A)</p> Signup and view all the answers

What is alpha (α) in a hypothesis test?

<p>The level of significance (B)</p> Signup and view all the answers

What should you do when converting a percentage to a value in a hypothesis test?

<p>Convert the percentage to a decimal (C)</p> Signup and view all the answers

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