Unit 7: Inference for Quantitative Data: Means

A one-sample [math]-test is used instead of a [math]-test when:

The degrees of freedom for a one-sample [math]-test with a sample of size [math] is:

The conditions for a one-sample [math]-interval for a mean include:

A paired [math]-test is appropriate when:

As the degrees of freedom increase, the [math]-distribution:

In a two-sample [math]-test for comparing two population means, the null hypothesis is typically:

A confidence interval that does NOT contain zero for [math] suggests:

The test statistic for a one-sample [math]-test is:

When checking the Normal/Large Sample condition for a [math]-test with [math], the most important thing to examine is:

Statistical significance does NOT necessarily mean:

A population has mean μ = 100 and standard deviation σ = 15. For random samples of size n = 25, what is the standard deviation of the sampling distribution of x̄?

If the true population proportion is p = 0.4 and n = 100, what is the standard deviation of the sampling distribution of p̂?

According to the Central Limit Theorem, the sampling distribution of x̄ is approximately normal when:

A statistic is unbiased if:

Two independent populations have means μ₁ = 50 and μ₂ = 45, and standard deviations σ₁ = 6 and σ₂ = 8. For samples of n₁ = 36 and n₂ = 64, what is the standard deviation of x̄₁ − x̄₂?

The sampling distribution of p̂ is approximately normal when:

The mean of the sampling distribution of x̄ equals:

What is the test statistic and conclusion?

What is the 95% confidence interval for the population mean?

What type of test is appropriate and what is the test statistic?