Question

(a) Find P(T<2.262) when v=9. (b) Find P(T>2.485) when v=25. (c) Find P(−2.539−2.101) when v=18 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) P(T<2.262)= (Round to three decimal places as needed.)

Answer 1

The student's question involves calculating probabilities for different values of a t-score given specific degrees of freedom using a t-distribution table or calculator. The methods include finding cumulative probabilities and subtracting those values to get the area under the curve for the specified range.

Step-by-step explanation:

The student is asking to calculate the probability values using the t-distribution for different cases with given degrees of freedom (v). The t-distribution is commonly used when the sample size is small and the population standard deviation is unknown, which is typical in statistics.

For accurate calculations, one should use the appropriate t-distribution table, calculator function, or statistical software.