Use a = 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. O Ho: Not all the population means are equal. Ha: MAHB = MC O Ho: MAHB = μC Ha: HA MB MC O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. Ho: MAHB = μC H₂: Not all the population means are equal. O HO HA MB MC # Ha: HA MB MC 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. O Do not reject Ho. There is not sufficient evidence to conclude that there is a difference in price among the three websites. O Do not reject Ho. There is sufficient evidence to conclude that there is a difference in price among the three websites. O Reject Ho. There is not sufficient evidence to conclude that there is a difference in price among the three websites. O Reject Ho. There is sufficient evidence to conclude that there is a difference in price among the three websites.
Use a = 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. O Ho: Not all the population means are equal. Ha: MAHB = MC O Ho: MAHB = μC Ha: HA MB MC O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. Ho: MAHB = μC H₂: Not all the population means are equal. O HO HA MB MC # Ha: HA MB MC 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. O Do not reject Ho. There is not sufficient evidence to conclude that there is a difference in price among the three websites. O Do not reject Ho. There is sufficient evidence to conclude that there is a difference in price among the three websites. O Reject Ho. There is not sufficient evidence to conclude that there is a difference in price among the three websites. O Reject Ho. There is sufficient evidence to conclude that there is a difference in price among the three websites.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Title: Analyzing Airline Ticket Prices Across Different Travel Agency Websites**
**Introduction:**
Are there differences in airfare depending on which travel agency website you utilize? The following data were collected from travel agency websites on a certain day, showcasing the prices in U.S. dollars for a one-way ticket between specific city pairs. The city pairs act as blocks and the websites as treatments.
**Table: Flight Prices by Website**
| Flight From–To | Website A ($) | Website B ($) | Website C ($) |
|-------------------------|---------------|---------------|---------------|
| Atlanta to Seattle | 175.50 | 166.00 | 176.30 |
| New York to Los Angeles | 194.50 | 195.00 | 206.70 |
| Cleveland to Orlando | 76.50 | 72.00 | 76.71 |
| Dallas to Indianapolis | 148.50 | 149.00 | 148.70 |
**Statistical Analysis:**
Use a significance level of \( \alpha = 0.05 \) to test for any significant differences in the mean price of a one-way airline ticket across the three travel agency websites.
**Hypotheses:**
- **Option 1:**
- \( H_0 \): Not all the population means are equal.
- \( H_a \): \( \mu_A = \mu_B = \mu_C \)
- **Option 2:**
- \( H_0 \): \( \mu_A = \mu_B = \mu_C \)
- \( H_a \): \( \mu_A \neq \mu_B \neq \mu_C \)
- **Option 3:**
- \( H_0 \): At least two of the population means are equal.
- \( H_a \): At least two of the population means are different.
- **Option 4:**
- \( H_0 \): \( \mu_A = \mu_B = \mu_C \)
- \( H_a \): Not all the population means are equal.
- **Option 5:**
- \( H_0 \): \( \mu_A \neq \mu_B \neq \mu_C \)
- \( H_a \): \( \mu_A = \mu_B = \mu_C \)
**Conclusion
![Use \( \alpha = 0.05 \) 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.
- \( H_0: \) Not all the population means are equal.
\( H_a: \ \mu_A = \mu_B = \mu_C \)
- \( H_0: \ \mu_A = \mu_B = \mu_C \)
\( H_a: \ \mu_A \neq \mu_B \neq \mu_C \)
- \( H_0: \) At least two of the population means are equal.
\( H_a: \) At least two of the population means are different.
- \( H_0: \ \mu_A = \mu_B = \mu_C \)
\( H_a: \) Not all the population means are equal.
- \( H_0: \ \mu_A \neq \mu_B \neq \mu_C \)
\( H_a: \ \mu_A = \mu_B = \mu_C \)
Find the value of the test statistic. (Round your answer to two decimal places.)
\[ \text{Value: } \]
Find the \( p \)-value. (Round your answer to three decimal places.)
\[ p\text{-value: } \]
State your conclusion.
- \( \circ \) Do not reject \( H_0 \). There is not sufficient evidence to conclude that there is a difference in price among the three websites.
- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that there is a difference in price among the three websites.
- \( \circ \) Reject \( H_0 \). There is not sufficient evidence to conclude that there is a difference in price among the three websites.
- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that there is a difference in price among the three websites.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ad87420-52d2-4e34-815e-eb9bcb5c95c0%2F714f0ef2-e6bf-4bb3-9aca-260a900a6f94%2Flea9ue_processed.png&w=3840&q=75)
Transcribed Image Text:Use \( \alpha = 0.05 \) 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.
- \( H_0: \) Not all the population means are equal.
\( H_a: \ \mu_A = \mu_B = \mu_C \)
- \( H_0: \ \mu_A = \mu_B = \mu_C \)
\( H_a: \ \mu_A \neq \mu_B \neq \mu_C \)
- \( H_0: \) At least two of the population means are equal.
\( H_a: \) At least two of the population means are different.
- \( H_0: \ \mu_A = \mu_B = \mu_C \)
\( H_a: \) Not all the population means are equal.
- \( H_0: \ \mu_A \neq \mu_B \neq \mu_C \)
\( H_a: \ \mu_A = \mu_B = \mu_C \)
Find the value of the test statistic. (Round your answer to two decimal places.)
\[ \text{Value: } \]
Find the \( p \)-value. (Round your answer to three decimal places.)
\[ p\text{-value: } \]
State your conclusion.
- \( \circ \) Do not reject \( H_0 \). There is not sufficient evidence to conclude that there is a difference in price among the three websites.
- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that there is a difference in price among the three websites.
- \( \circ \) Reject \( H_0 \). There is not sufficient evidence to conclude that there is a difference in price among the three websites.
- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that there is a difference in price among the three websites.
Expert Solution
Step 1
Given Information:
Consider the given dataset:
| Websites | |||
| A | B | C | |
| Atlanta to seattle | 175.5 | 166 | 176.3 |
| New York to Los Angeles | 194.5 | 195 | 206.7 |
| Cleveland to Orlando | 76.5 | 72 | 76.71 |
| Dallas to Indianapolis | 148.5 | 149 | 148.7 |
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