t-test
Definition
A t-test is a statistical test that compares two sample means to determine if they are significantly different from each other.
Analogy
Imagine you have two groups of friends, one group who drinks coffee and another group who drinks tea. You want to know if there's a significant difference in their average energy levels. By conducting a t-test, you can determine if there's enough evidence to conclude that coffee drinkers have higher energy levels than tea drinkers (or vice versa).
Related terms
Null hypothesis: A statement that assumes no difference or relationship between variables.
P-value: The probability of obtaining results as extreme as observed data, assuming the null hypothesis is true.
Type I error: Rejecting the null hypothesis when it is actually true.
"t-test" appears in:
Study guides (4)
Additional resources (1)
Practice Questions (16)
What is the purpose of a t-test for the slope in a regression model?
Which of the following represents the null hypothesis (H0) for a t-test of the slope?
In a t-test for the slope, what does it suggest if the t-statistic is significantly different from zero?
What does a residual plot help us determine in a t-test for the slope?
Which condition is NOT necessary for conducting a t-test for the slope?
What distribution is used for critical values in a t-test for the slope?
What is the alternative hypothesis (Ha) for a t-test of the slope when testing whether the slope is not equal to a hypothesized value (β0)?
In a t-test for the slope, what does it suggest if the t-statistic is not significantly different from zero?
What is the minimum sample size required for conducting a t-test for the slope?
What does it mean if the t-statistic for the slope is exactly 0 in a t-test?
What is the consequence of violating the independence condition in a t-test for the slope?
In a t-test for slope, what is being tested?
What critical value is used in a t-test for the slope of a regression model?
What is the purpose of the degrees of freedom in a t-test for the slope of a regression model?
What is the purpose of calculating the degrees of freedom in a t-test?
What information should be included in a written response for a t-test for population mean?
Resources
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