Posted: June 13th, 2023

Suppose that, for a t-test, your computed value for t is +3.28

Suppose that, for a t-test, your computed value for t is +3.28. The critical value of t is +2.048. Explain what this means. Do you reject the null hypothesis or not? Now suppose that you have 28 degrees of freedom and are using a two-tailed (nondirectional) test. Draw a simple figure to illustrate the relationship between the critical and the computed values of t for this result.
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The computed value of t is +3.28.
The critical value of t is +2.048.
The degrees of freedom is 28.
The test is two-tailed.
This means that the probability of obtaining a t-statistic of +3.28 or more by chance, assuming that the null hypothesis is true, is less than 5%. Therefore, we can reject the null hypothesis and conclude that there is a statistically significant difference between the two groups.

Here is a simple figure to illustrate the relationship between the critical and the computed values of t:

Code snippet
t-distribution

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| Critical value = 2.048
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| Computed value = 3.28
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Use code with caution. Learn more
As you can see, the computed value of t falls outside of the rejection region, which means that we can reject the null hypothesis.

I hope this helps! Let me know if you have any other questions.

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