Final answer:
The value of t₂₂ for a t-distribution with 22 degrees of freedom such that the probability of being less than that value is 0.975 is approximately 2.093.
Step-by-step explanation:
The value of t₂₂ for a t-distribution with 22 degrees of freedom such that the probability of being less than that value is 0.975 can be found using the t-distribution table or a calculator.
Using the given information and the table or calculator, the value of t₂₂ is found to be approximately 2.093.
Therefore, none of the given options a, b, c, or d are correct.