Final answer:
The student is tasked with determining the t value for constructing a 95% confidence interval for average yearly income of airline pilots. They need to reference a t-table and look up the critical value using a confidence level of 95% and 87 degrees of freedom.
Step-by-step explanation:
This question is asking about constructing a 95% confidence interval for the average yearly income of a population of airline pilots based on a sample with a known average income and standard deviation. The value of t requested in the question is a critical value from the t-distribution that takes into account the level of confidence and the degrees of freedom (which in this case would be the sample size minus one).
To find the value of t, we need to look up the appropriate t-table for a 95% confidence level and 87 degrees of freedom (88 - 1 since our sample size is 88). However, the exact value might not be listed in the table, and we might need interpolation or software to get an accurate t value. Generally, for large sample sizes, the t-distribution approximates the standard normal distribution, and we can use values from the z-table as an approximation.