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	450
216	206
285	263
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: μ_d ≥ 0

H_a: μ_d < 0

H₀: μ_d ≠ 0

H_a: μ_d = 0

    

H₀: μ_d = 0

H_a: μ_d ≠ 0

H₀: μ_d ≤ 0

H_a: μ_d > 0

H₀: μ_d < 0

H_a: μ_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 =

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.)

?? %

Answer 1

a)

H₀: μ_d ≤ 0

H_a: μ_d > 0

test statistic =2.364

p-value =0.0188

b)

current =487

previous =461

c)

percentage change in mean airfare for the one-year period =(487-461)*100/461=5.6%