You may need to use the appropriate technology to answer this question. Are there differences in airfare depending on which travel agency website you utilize? The following data were collected on travel agency websites on December 6, 2020. The following table contains the prices in U.S. dollars for a one-way 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. Website Price From-To Expedia ($) TripAdvisor ($) Priceline ($) Atlanta to Seattle 302 202 349 New York to Los Angeles 338 273 356 Cleveland to Orlando 53 50 58 Dallas to Indianapolis 177 190 177 Use $\alpha = 0.05$ to test for any significant differences in the mean price of a one-way airline ticket for the three travel agency websites. State the null and alternative hypotheses. $H_0$: Not all the population means are equal. $H_a$: $\mu_1 = \mu_2 = \mu_3 = \mu_4$ $H_0$: Not all the population means are equal. $H_a$: $\mu_1 \ne \mu_2 \ne \mu_3$ $H_0$: Not all the population means are equal. $H_a$: $\mu_1 = \mu_2 = \mu_3$ $H_0$: Not all the population means are equal. $H_a$: $\mu_1 \ne \mu_2 \ne \mu_3$ Find the value of the test statistic. (Round your answer to two decimal places.) 0.21 Find the p-value. (Round your answer to three decimal places.) p-value = 0.810 State your conclusion. Reject $H_0$. There is not sufficient evidence to conclude that there are differences in the mean price of a one-way airline ticket among the three travel agency websites. Do not reject $H_0$. There is not sufficient evidence to conclude that there are differences in the mean price of a one-way airline ticket among the three travel agency websites. Reject $H_0$. There is sufficient evidence to conclude that there are differences in the mean price of a one-way airline ticket among the three travel agency websites. Do not reject $H_0$. There is sufficient evidence to conclude that there are differences in the mean price of a one-way airline ticket among the three travel agency websites.
Added by Kimberly C.
Close
Step 1
- Null hypothesis (Ho): The mean prices of one-way airline tickets are equal for all three travel agency websites. - Alternative hypothesis (H1): The mean prices of one-way airline tickets are not equal for at least one pair of travel agency websites. Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 87 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
You may need to use the appropriate technology to answer this question. Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who used the programs provided the following data. Program A B C 530 450 600 400 530 640 480 400 570 540 410 480 480 470 580 610 390 620 550 590 Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use 𝛼 = 0.05. State the null and alternative hypotheses. H0: All populations of test scores are identical. Ha: Not all populations of test scores are identical. H0: MedianA = MedianB = MedianC Ha: MedianA ≠ MedianB ≠ MedianC H0: MedianA ≠ MedianB ≠ MedianC Ha: MedianA = MedianB = MedianC H0: MedianA = MedianB = MedianC Ha: MedianA > MedianB < MedianC H0: Not all populations of test scores are identical. Ha: All populations of test scores are identical. Find the value of the test statistic. (Round your answer to two decimal places.) test statistic= Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs. Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs. Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs. Reject H0. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Sri K.
An experiment was conducted using a randomized block design. The data from the experiment are displayed in the table to the right. Complete parts a through e. Specify the null and alternative hypotheses you would use to investigate whether a difference exists among the treatment methods. Choose the correct answer below: Ho: μ1 = μ2 = μ3 Ha: At least two treatments differ What test statistic should be used in conducting the test of part b? (Round to two decimal places as needed.) Describe the Type I and Type II errors associated with the hypothesis test of part b. Conduct the hypothesis test of part b using α = 0.01. Find the rejection region. (Round to two decimal places as needed.) Calculate the p-value. (Round to four decimal places as needed.) Determine a conclusion. Choose the correct answer below: Fail to reject Ho. There is insufficient evidence to conclude that a difference exists among the treatment methods. Fail to reject Ho. There is sufficient evidence to conclude that a difference exists among the treatment methods. Reject Ho. There is insufficient evidence to conclude that a difference exists among the treatment methods. Reject Ho. There is sufficient evidence to conclude that a difference exists among the treatment methods.
Madhur L.
You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Treatment A Treatment B Treatment C 31 45 32 29 42 35 31 45 34 25 47 35 34 51 39 Sample mean: 30 46 35 Sample variance: 11.00 11.00 6.50 (a) At the α = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? State the null and alternative hypotheses. H0: μA = μB = μC Ha: Not all population means are equal. 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 = State your conclusion. Reject H0. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use α = 0.05. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of treatments. xA − xB = xA − xC = xB − xC = Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments A and B. There is a significant difference between the means for treatments A and C. There is a significant difference between the means for treatments B and C. There are no significant differences.
Dominador T.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD