Final answer:
To calculate the probability of obtaining a t-statistic equal to or less than 0.87 for a random variable following a t-distribution with n=14, you can use a lookup table or a calculator function. Option A, calculate probability, is correct.
Step-by-step explanation:
To determine the probability of obtaining a t-statistic equal to or less than 0.87 with n=14, you'd typically refer to a t-distribution table or use software to calculate it precisely. The t-distribution formula involves degrees of freedom (df), which for n=14 is 13. By inputting the value (0.87) into the t-distribution function or table with df=13, you can find the probability.
The t-distribution is used when the sample size is small or when population standard deviation is unknown. With n=14, the degrees of freedom (df) would be 14 - 1 = 13. Using this df, you'd either use a statistical software or a t-distribution table to find the probability corresponding to a t-statistic of 0.87 or less. This probability represents the likelihood of observing a t-value as extreme as or more extreme than 0.87 in a t-distribution with 13 degrees of freedom.
Correct answer: A. Calculate probability