A. A researcher suggests 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 hypotheses such that rejection of H0 will support the researcher's contention.
H0: Select [greater than or equal to 1056, greater than 1056, less than or equal to 1056, less than 1056, equal to 1056, not equal to 1056]
Ha: Select [greater than or equal to 1056, greater than 1056,less than or equal to 1056, less than 1056, equal to 1056, not equal to 1056]

b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation of = $1600 may be assumed. What is the p-value (to 4 decimals)?

c. Using = .05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early fliers?
Select [Yes, No]

Answer the next three questions using the critical value approach.

d. Using = .05, what is the critical value for the test statistic?

e. State the rejection rule: Reject H0 if z is Select [greater than or equal to, greater than, less than or equal to, less than, equal to, not equal to] the critical value.

f. Using = .05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers?