According to the 2016 Majoring in Money report bythe government-lending institution Sallie Mae, 18-to 20-year-old college students have an averagecredit card balance of $569. You want to find out ifthis number is lower now and collect data for a randomsample of 40 college students. Their averagecredit card debt was found to be $545 with a samplestandard deviation of $68.55.

a. Using α = 0.05, does this sample provide enoughevidence to conclude that the average credit cardbalance of 18- to 20-year-old college students hasdecreased since 2016?

b. Does changing the value of a from 0.05 to 0.01affect your conclusion? Why or why not?
c. Determine the precise p-value for this test usingExcel.