You may need to use the appropriate technology to answer this question. 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 345 315 526 451 420 474 216 206 285 275 405 432 635 585 710 650 605 545 517 547 570 496 610 580 (a) Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period. H0: ?d = 0 Ha: ?d ≠ 0 H0: ?d < 0 Ha: ?d = 0 H0: ?d ≥ 0 Ha: ?d < 0 H0: ?d ≤ 0 Ha: ?d > 0 H0: ?d ≠ 0 Ha: ?d = 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. 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. 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. (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.) %

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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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	451
420	474
216	206
285	275
405	432
635	585
710	650
605	545
517	547
570	496
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: ?_d = 0

H_a: ?_d ≠ 0

H₀: ?_d < 0

H_a: ?_d = 0

H₀: ?_d ≥ 0

H_a: ?_d < 0

H₀: ?_d ≤ 0

H_a: ?_d > 0

H₀: ?_d ≠ 0

H_a: ?_d = 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. 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. 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.

(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.)

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