I need help figuring out correct formulas for these problems.

How do the fares for airlines that directly competecompare? The accompanying table contains roundtrip fares for nonstop travel from a particular city to 10 different destinations in the same country on two airlines that a frequent flyer collected. Complete parts(a) through(d) below.

Airline A Fare ($) 736 698 1023 1149 664 975 990 737 1119 1150

Airline B Fare ($) 742 727 1029 1155 670 981 996 743 1125 1156

**At the 0.01 level ofsignificance, is there evidence of a difference in mean roundtrip fare between Airline A and AirlineB?

Let 1 be the mean roundtrip fares for AirlineA, and let 2 be the mean roundtrip fares for Airline B. What are the correct null and alternativehypotheses?

A.

H0: D<0 (where d=12)

H1: D0

B.

H0: D0 (where D=12)

H1: D<0

C.

H0: D>0 (where D=12)

H1: D0

D.

H0: D0 (where D=12)

H1: D>0

E.

H0: D=0 (where D=12)

H1: D0

F.

H0: D0 (where D=12)

H1: D=0

b. What is the teststatistic?

tSTAT=

(Round to two decimal places asneeded.)

c. What is thep-value for the teststatistic?

Thep-value is

(Round to three decimal places asneeded.)

d. What is the correct conclusion at the 0.01 level ofsignificance?

A.

Reject H0. There is sufficient evidence to conclude that there is a difference between the mean roundtrip fares between Airline A and Airline B.

B.

Donotreject H0. There is insufficient evidence to conclude that there is a difference between the mean roundtrip fares between Airline A and Airline B.

C.

Reject H0. There is insufficient evidence to conclude that there is a difference between the mean roundtrip fares between Airline A and Airline B.

D.

Donotreject H0. There is sufficient evidence to conclude that there is a difference between the mean roundtrip fares between Airline A and Airline B.