In: Statistics and Probability
A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years.
Current Year |
Previous Year |
---|---|
345 | 315 |
526 | 475 |
420 | 474 |
216 | 206 |
285 | 275 |
405 | 432 |
635 | 585 |
710 | 650 |
605 | 545 |
517 | 547 |
570 | 508 |
610 | 580 |
(a)
Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period.
H0: μd = 0
Ha: μd ≠ 0
H0: μd < 0
Ha: μd = 0
H0: μd ≥ 0
Ha: μd < 0
H0: μd ≠ 0
Ha: μd = 0
H0: μd ≤ 0
Ha: μd > 0
Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
Reject H0. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.Reject H0. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period. Do not reject H0. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period. Do not reject H0. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.
(b)
What is the sample mean domestic airfare (in dollars) for business travel for each year?
current $ previous $
(c)
What is the percentage change in mean airfare for the one-year period? (Round your answer to one decimal place.)
%