Central Limit Theorem Review

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12 Questions

What is the mean of the sampling distribution of means?

It is equal to the mean of the population

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

σ^2/n

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

σ/(√n)

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

The sample size must be large enough

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

Random sampling with repetition

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

t-distribution

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

One-tailed test

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

df = n - 1

What is the confidence level in a hypothesis test?

The probability that the confidence interval contains the true population parameter

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

Two-tailed test

What is alpha (α) in a hypothesis test?

The level of significance

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

Convert the percentage to a decimal

Review the properties of the sampling distribution of means, including its mean, variance, and standard deviation. Understand how the Central Limit Theorem applies to samples of a population. Test your knowledge of this fundamental concept in statistics.

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