Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consifer the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a: A researcher suggest that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypothesis such that rejection of H? will support the researcher's contention
b. b: For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based upon prior experience, a population standard deviation of ?=$1600 may be assumed. What is the p- value?
c: At a = .05, what is your conclusion?