W3 Flashcards
What is a one sample hypothesis?
A one sample hypothesis test determines whether the mean of a single sample is significantly different from a specified/comparison value.
It involves comparing the size of the estimated difference between the sample mean and the reference value relative to the precision of the estimate.
The null hypothesis typically states that the sample mean is indistinguishable from the reference value.
How to calculate a one sample t test?
Calculate the difference between the mean of the observed data and a hypothesized comparison value.
Divide this difference by the standard error of the mean to obtain the t-value.
What does a small or large t-value tell us?
A small t-value suggests that the standard error of the mean is larger than the observed difference, indicating that we are unlikely to distinguish between the sample mean and the comparison value.
A large t-value suggests the opposite, indicating a greater likelihood of distinguishing between the sample mean and the comparison value.
What’s Student’s t-test?
Student’s t-test is a statistical test used for comparing the means of two independent samples.
It is commonly used for smaller sample sizes.
What should you include when reporting a t-test?
Mean and standard deviation of the sample.
The comparison level (hypothesized value).
The t-value along with the degrees of freedom.
The p-value indicating the significance level of the test.
