If the t-statistic for a single sample t-test is 1.58, what can you conclude?
A) The test is significant at an alpha level of .05.
B) The sample size of the test was at least 30.
C) The sample mean was larger than the population mean.
D) The population standard deviation was smaller than the difference between the sample mean and the population mean.

Question

Quizplus · Accepted Answer

The t-statistic is a measure of how many standard errors the sample mean is from the population mean. A positive t-statistic, such as 1.58, indicates that the sample mean is larger than the population mean. Choices A, B, and D cannot be concluded directly from the value of the t-statistic alone without additional information such as degrees of freedom, the significance level (for A), or specific values for the sample size, population standard deviation, and means (for B and D).

If the T-Statistic for a Single Sample T-Test Is 1