Introduction to Sampling Distribution

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15 Questions

What is the term used for the methods used to make decisions or draw conclusions about a population?

Statistical Inference

Which of the following is considered a random variable before the data is collected?

Observations

What is the probability distribution of a statistic called?

Sampling Distribution

What is used to obtain a point estimate of a population parameter?

Sample Mean

What method utilizes the information contained in a sample from the population in drawing conclusions?

Statistical Inference

Which term refers to the process of making decisions or drawing conclusions about a population using sample data?

Statistical Inference

What is the estimate for the mean of a single population?

(x̄) the sample mean

What is the estimate for the difference in means of two populations?

(x̅_1 - x̅_2) the difference between the sample means of two independent random samples

What is meant by the sampling distribution of the mean?

The probability distribution of (X̅)

When will the normal approximation be satisfactory for the sampling distribution?

When n ≥ 30

What does the central limit theorem state?

The sampling distribution of the sample mean will still be approximately normal with mean µ and variance σ^2⁄n, if the sample size n is large

What is the standard deviation of the sampling distribution of X̅, if σ = 10 and n = 25?

2.5

What does Z=(X̅-μ)/(σ⁄√n) represent?

Standardization formula for X̅

What does (s²) represent?

Central Limit Theorem expression

How does Linear functions of independent normally distributed random variables behave?

Have a normal distribution with mean and variance

Explore the fundamental concepts of statistical inference, including parameter estimation and hypothesis testing. Learn how to make decisions and draw conclusions about a population based on sample data.

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