Are there differences in airfare depending on which travel agency website you utilize? Suppose the following data were collected on travel agency websites on a certain day. The following table contains the prices in U.S. dollars for a oneway ticket between the cities listed on the left for each of the three travel agency websites. Here the pairs of cities are the blocks and the treatments are the different websites. Flight From–To Website Website Website A B C Atlanta to Seattle 175.50 166.50 175.80 New York to Los Angeles 194.50 195.50 206.20 Cleveland to Orlando 76.50 72.50 76.21 Dallas to Indianapolis 148.50 149.50 148.20 #1) Use ? = 0.05 to test for any significant differences in the mean price of a oneway airline ticket for the three travel agency websites. State the null and alternative hypotheses: A) H0: Not all the population means are equal. Ha: ?A = ?B = ?C B) H0: ?A = ?B = ?C Ha: ?A ≠ ?B ≠ ?C C) H0: ?A ≠ ?B ≠ ?C Ha: ?A = ?B = ?C D) H0: At least two of the population means are equal. Ha: At least two of the population means are different. E) H0: ?A = ?B = ?C Ha: Not all the population means are equal. #2) Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion: A) Do not reject H0. There is sufficient evidence to conclude that there is a difference in price among the three websites. B) Do not reject H0. There is not sufficient evidence to conclude that there is a difference in price among the three websites. C) Reject H0. There is sufficient evidence to conclude that there is a difference in price among the three websites. D) Reject H0. There is not sufficient evidence to conclude that there is a difference in price among the three websites.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

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Are there differences in airfare depending on which travel agency website you utilize? Suppose the following data were collected on travel agency websites on a certain day. The following table contains the prices in U.S. dollars for a oneway ticket between the cities listed on the left for each of the three travel agency websites. Here the pairs of cities are the blocks and the treatments are the different websites.

Flight From–To	Website	Website	Website

	A	B	C
Atlanta to Seattle	175.50	166.50	175.80
New York to Los Angeles	194.50	195.50	206.20
Cleveland to Orlando	76.50	72.50	76.21
Dallas to Indianapolis	148.50	149.50	148.20

#1) Use ? = 0.05 to test for any significant differences in the mean price of a oneway airline ticket for the three travel agency websites.

State the null and alternative hypotheses:

A) H₀: Not all the population means are equal.
H_a: ?_A = ?_B = ?_C

B) H₀: ?_A = ?_B = ?_C
H_a: ?_A ≠ ?_B ≠ ?_C

C) H₀: ?_A ≠ ?_B ≠ ?_C
H_a: ?_A = ?_B = ?_C

D) H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

E) H₀: ?_A = ?_B = ?_C
H_a: Not all the population means are equal.

#2) Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.) p-value =

#3) State your conclusion:

A) Do not reject H₀. There is sufficient evidence to conclude that there is a difference in price among the three websites.

B) Do not reject H₀. There is not sufficient evidence to conclude that there is a difference in price among the three websites.

C) Reject H₀. There is sufficient evidence to conclude that there is a difference in price among the three websites.

D) Reject H₀. There is not sufficient evidence to conclude that there is a difference in price among the three websites.

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